Answer:
e) None of the above
Step-by-step explanation:
We are in posession of the sample's standard deviation, so we use the student t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 43 - 1 = 42
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 42 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0181
The margin of error is:
M = T*s = 2.0181*11.3 = 22.80
In which s is the standard deviation of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 77.86 - 22.8 = 55.06
The upper end of the interval is the sample mean added to M. So it is 77.86 + 22.8 = 100.66.
So the correct answer is:
e) None of the above
Answer:
[tex]77.86-2.02\frac{11.30}{\sqrt{43}}=74.38[/tex]
[tex]77.86+2.02\frac{11.30}{\sqrt{43}}=81.34[/tex]
And for this cae none of the options satisfy the result so then the best option would be:
e) None of the above
Step-by-step explanation:
Information given by the problem
[tex]\bar X= 77.86[/tex] represent the sample mean for the score
[tex]\mu[/tex] population mean
s=11.30 represent the sample standard deviation
n=43 represent the sample size
Calculating the confidence interval
The confidence interval for the true mean of interest is given by:
[tex]\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}[/tex] (1)
For this case the degrees of freedom are:
[tex]df=n-1=43-1=42[/tex]
The Confidence is 0.95 or 95%, the significance then is [tex]\alpha=1-0.95=0.05[/tex] and [tex]\alpha/2 =0.025[/tex], the critical value for this case would be [tex]t_{\alpha/2}=2.02[/tex]
And replacing in equation (1) we got:
[tex]77.86-2.02\frac{11.30}{\sqrt{43}}=74.38[/tex]
[tex]77.86+2.02\frac{11.30}{\sqrt{43}}=81.34[/tex]
And for this cae none of the options satisfy the result so then the best option would be:
e) None of the above
What is the length of the radius of a circle whose area is 100 pie(3.14)?
If you bought a camera in good condition from a friend, would you pay the same as you would if you bought the same item from a stranger? A researcher at Cornell University want to know how friendship might affect simple sales such as this. She randomly divided 15 subjects into two groups and gave each group the same description of a used camera. One group was told to imagine buying from a friend whom they expected to see again. The other group was told to imagine buying from a stranger. The researcher recorded the price each person was willing to pay for the camera.
Final answer:
The degree of imperfect information varies depending on the transaction type. Buying apples or dinner locally involves relatively low imperfect information because of the immediate availability of visual or experiential information, whereas buying a used laptop or ordering flowers online involves higher imperfect information due to the lack of direct product interaction.
Explanation:
Imperfect Information in Economic Transactions
The concept of imperfect information refers to a situation where one or both parties in a transaction do not have all the necessary information to make an entirely informed decision. When assessing the degree of imperfect information in various scenarios, it is essential to consider the transparency and availability of information about the product or service, as well as the trustworthiness of the source providing it.
Buying apples at a roadside stand: The degree of imperfect information is expected to be relatively low as the buyer can visually inspect the apples and assess their quality on the spot.
Buying dinner at the neighborhood restaurant: Imperfect information is also expected to be relatively low since, through prior experience or reputation, one usually has an idea about the quality of food and service.
Buying a used laptop computer at a garage sale: Imperfect information would be relatively high as the buyer may not have the expertise to thoroughly check the laptop's condition or know its history.
Ordering flowers over the internet for a friend in a different city: The degree of imperfect information could be high since the buyer cannot see the actual flowers being sent and must rely on the vendor's description and reputation.
These situations highlight how different market transactions harbor varying levels of imperfect information, which can influence a buyer's willingness to pay and overall decision-making process, according to the principles of behavioral economics. Unlike mainstream economics, which assumes rational actors with perfect information, behavioral economics acknowledges that decisions are often made based on relative outcomes and perceived value rather than absolute savings.
Sandy cut three pieces of yarn to use for her art project one was 1ft 8in long one was 10 in long and one was 2 ft 6 in Long how much yarn did Sandy use
Answer:
C. 5 feet
Step-by-step explanation:
Answer:
5 foot 1 foot + 2 foot + 24 inches
A research firm supplies manufacturers with estimates of the sales of their products from samples of stores. Marketing managers often look at the sales estimates and ignore sampling error. An SRS of 50 stores this month shows mean sales of 41 units of a particular appliance with a standard deviation of 11 units. During the same month last year, an SRS of 52 stores gave mean sales of 38 units of the same appliances with a standard deviation of 13 units. An increase from 38 to 41 is a rise of 7.9 % . The marketing manager is happy because sales are up 7.9 % . (a) Give a 95 % confidence interval for the difference in mean number of units of the appliance sold at all retail stores. (Enter your answer rounded to three decimal places.)
Answer:
lower interval = -1.715
upper interval = 7.715
Step-by-step explanation:
The 95% confidence interval for the difference in mean number of units of the appliance sold at all retail stores for this case is [-1.667, 7.667]
How to find the confidence interval for difference in mean?Supposing the samples are large, let we're given that:
For first sample:
[tex]n_1[/tex] =sample size[tex]s_1[/tex] = sample standard devation[tex]\overline{x}_1[/tex] = sample meanFor second sample:
[tex]n_2[/tex] =sample size[tex]s_2[/tex] = sample standard devation[tex]\overline{x}_2[/tex] = sample meanSuppose the confidence level be p% = p/100 in decimal, then the level of significance would be [tex]\alpha = 1 - p/100[/tex]
Then, the margin of error would be:
[tex]MOE = Z_{\alpha/2}\sqrt{\dfrac{s_1^2}{n_1} + \dfrac{s_2^2}{n_2}}[/tex]
where [tex]Z_{\alpha/2}[/tex] is the critical value of Z at level of significance [tex]\alpha[/tex]
The confidence interval would be:
[tex]CI = \overline{x}_1 - \overline{x}_2 \pm MOE[/tex]
Thus, for this case, we're specified that:
For first sample (SRS this month):
[tex]n_1[/tex] =sample size = 50[tex]s_1[/tex] = sample standard devation = 11[tex]\overline{x}_1[/tex] = sample mean = 41For first sample(SRS last month):
[tex]n_2[/tex] =sample size = 52[tex]s_2[/tex] = sample standard devation = 13[tex]\overline{x}_2[/tex] = sample mean = 38Level of significance = 1 - 95/100 = 0.05
The critical value of z at 0.05 level of significance (from the tables of critical value of Z) is: [tex]Z_{0.05/2} = 1.96[/tex]
Thus, the margin of error would be:
[tex]MOE = Z_{\alpha/2}\sqrt{\dfrac{s_1^2}{n_1} + \dfrac{s_2^2}{n_2}}\\\\\\MOE = 1.96\sqrt{\dfrac{11^2}{50} + \dfrac{13^2}{52}}\\\\MOE \approx 4.667[/tex]
Thus, the confidence interval would be:
[tex]CI = \overline{x}_1 - \overline{x}_2 \pm MOE\\CI \approx 41 - 38 \pm 4.667\\CI \approx 3 \pm 4.667\\CI \approx [3 - 4.667, 3 + 4.667] = [-1.667, 7.667][/tex]
Thus, the 95% confidence interval for the difference in mean number of units of the appliance sold at all retail stores for this case is [-1.667, 7.667]
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A bucket of water is one quarter full. You add 3.6L to the bucket. Now it has 18L in it. How much water will the bucket hold?
Answer:
57.6 Liters
Step-by-step explanation:
18 - 3.6 to find what 1 quarter is
14.4 * 4 to find the total amount it can hold
= 57.6
Which expression uses the distributive property to represent the sum of 39 + 27
Answer:
The expression that uses the distributive property to represent the sum of 39 + 27 is [tex]3(13 + 9)[/tex]
Step-by-step explanation:
Given
Expression: 39 + 27
Required
Express using the distributive property
The distributive property is represented in the form a(b + c)
So, we can say that the meaning to the question is that the given expression should be represented in the form a(b+c)
Equate these two expressions, we have
[tex]a(b+c) = 39 + 27[/tex]
Factorize the expression on the left hand side
[tex]a(b+c) = 3(\frac{39}{3} + \frac{27}{3})[/tex]
Simplify fraction
[tex]a(b+c) = 3(13 + 9)[/tex]
Compare expression on left hand side with the expression on the right hand side.
Since, they have the same format, then we've arrived at the answer.
Hence, the expression that uses the distributive property to represent the sum of 39 + 27 is [tex]3(13 + 9)[/tex]
The expression that represents the sum of 39 + 27 using the distributive property is 39 + 27 = (30 + 9) + (20 + 7) = 66.
Explanation:The expression that represents the sum of 39 + 27 using the distributive property is:
39 + 27 = (30 + 9) + (20 + 7) = 30 + 20 + 9 + 7 = 50 + 16 = 66
To apply the distributive property, we break down the numbers into their place values and add them together. In this case, we can break down 39 into 30 + 9, and 27 into 20 + 7. Then, we add the numbers in each place value group separately and combine the results to get the final sum of 66.
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Select the correct answer,
Why are online payment services necessary?
OAIndividuals who sell items online cannot afford
OB. It is too risky to use credit cards online, and on
C. Government regulations require all online tran
OD
Online payment services are the only payment
Answer:
B. It is too risky to use credit cards online, and online payment services have better security because of the increasing number of hackers that may steal money from your bank account.
Step-by-step explanation:
Which letter labels a vertex?
NEED URGENT ANSWER!
Answer:
C.
Step-by-step explanation:
In geometry, a vertex is the point where three or more edges meet on a shape (a 3-dimensional one of course). The other letters label sides or faces of the shape.
Answer:
C
Step-by-step explanation:
The easiest way to explain it is that A,B, and D are all labeling lines. A vertex is like a corner, with at least three lines protruding from it. A vertex is each angular point in a shape.
hope this helps :)
Kirby ran three-fourths of a half mile and dropped out of the 800 meter race. Her
pace was 12 miles an hour until the point she dropped out of the race. About how
many minutes did she run approximately?
Answer:
1.88 minutes
Step-by-step explanation:
This question can be solved using speed, distance and time concept along-with use of computing fractions.
Given
Distance ran by Kirby = 3/4 of half mile
= 3/4 of 1/2 mile = 3/4 * 1/2 mile = 3/8 mile.
Speed of Kirby until she dropped out of race = 12 miles/hour
Formula to calculate time = Distance/Time
substituting value of speed of Kirby and distance covered by Kirby
Time = [tex](3/8) / 12 = 3/(8*12) = 1/32 \ hour[/tex]
Since one hour has 60 minutes 1/32 hour = (1/32) * 60 minutes = 1.88 minutes
What is the value of x in the equation 4x - 10 = 18
Start with
[tex]4x - 10 = 18[/tex]
Add 10 to both sides:
[tex]4x - 10+10 = 18+10[/tex]
This cancels the "-10" on the left hand side:
[tex]4x = 28[/tex]
Divide both sides by 4:
[tex]\dfrac{4x}{4} = \dfrac{28}{4}[/tex]
This cancels the 4 on the left hand side:
[tex]x = 7[/tex]
4x - 10 = 18| + 10
4x - 10 + 10 = 18 + 10
4x = 28| ÷ 4
4x ÷ 4 = 28 ÷ 4
x = 7
Halla el lafo de un cuadrado tal que la suma de su área más su perímetro es numéricamente igual a 252
A tile is chosen at random from a bag containing the following tiles: 7 blue, 3 green, 6 yellow, and 5 purple. Let P be the probability distribution defined on the set {blue, green, yellow, purple}. Write each probability rounded to the nearest hundredth
P(blue)=_____
P(green)=_____
P(purple)=_____
P(yellow)=_____
Answer:
P(blue) = 0.33
P(green) = 0.14
P(purple) = 0.24
P(yellow) = 0.29
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, we have that:
7+3+6+5 = 21 tils.
7 of them are blue. So
P(blue) = 7/21 = 0.33
3 of them are green. So
P(green) = 3/21 = 0.14
6 of them are yellow. So
P(yellow) = 6/21 = 0.29
5 of them are purple. So
P(purple) = 5/21 = 0.24
Answer:
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
According to the question
7 + 3 + 6 + 5 = 21 in a bag
[tex]P(blue) = \frac{7C_1}{21C_1} \\\\=\frac{7}{21} \\\\=\frac{1}{3} \\\\= 0.33[/tex]
[tex]P(green) = \frac{3C_1}{21C_1} \\\\= \frac{3}{21} \\\\=\frac{1}{7} \\\\= 0.14[/tex]
[tex]P(yellow)=\frac{6C_1}{21C_1} \\\\=\frac{6}{21}\\\\=\frac{2}{7} \\\\=0.29[/tex]
[tex]P(purple) = \frac{5C_1}{21C_1} \\\\=\frac{5}{21} \\\\=0.24[/tex]
As a salesperson, you are paid $52 per week plus $3 per sale. This week you want your pay to be at least $100. Write an inequality for the number of sales you need to make, and describe the solutions.
Answer:
s≥16
Step-by-step explanation:
3s+52≥100
3s≥100-52
3s≥48
s≥48/3
s≥16
The solution to the inequality is x ≥ 16.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
Let x be the number of sales you need to make.
The total pay you receive will be $52 + $3x.
Since you want your pay to be at least $100, we can write the inequality:
52 + 3x ≥ 100
Solving for x, we get:
3x ≥ 48
x ≥ 16
Therefore,
The solution to the inequality is x ≥ 16.
This means that you need to make at least 16 sales to earn at least $100 this week.
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if a pack of 24 pencils cost $2.35 how much does a single pencil cost
Answer:
Just divide dollar amount by unit count
2.35/24 =$ ______ per pencil
so each= =0.097917
so 97 cents
The amount that a single pencil cost is $0.10 per pencil.
Using this formula
Cost per pencil=Cost of pencil per pack/Number of pencil per pack
Where:
Cost of pencil per pack=$2.35
Number of pencil per pack=24 pencil
Let plug in the formula
Cost per pencil=$2.35/24
Cost per pencil=$0.098
Cost per pencil=$0.10 (Approximately)
Inconclusion the amount that a single pencil cost is $0.10 per pencil.
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Using the traditional formula, a 95% CI for p1 − p2 is to be constructed based on equal sample sizes from the two populations. For what value n (= m) will the resulting interval have width at most 0.4 irrespective of the results of the sampling? (Round your answer up to the nearest whole number.)
Answer:
The minimum sample size required is 49.
Step-by-step explanation:
The (1 - α)% confidence interval for the difference between two proportions is:
[tex]CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha/2}\ \sqrt{\frac{\hat p_{1}(1-\hat p_{1})+\hat p_{2}(1-\hat p_{2})}{n}}[/tex]
*The sample size is considered equal in this case.
The width of the interval is at most 0.40.
Then the margin of error of the interval will be:
MOE = Width ÷ 2 = 0.20
The formula of the margin of error is:
[tex]MOE= z_{\alpha/2}\ \sqrt{\frac{\hat p_{1}(1-\hat p_{1})+\hat p_{2}(1-\hat p_{2})}{n}}[/tex]
Assume that the two sample proportion values are 0.50.
The critical value of z for 95% confidence level is:
[tex]z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96[/tex]
Compute the sample size required as follows:
[tex]MOE= z_{\alpha/2}\ \sqrt{\frac{\hat p_{1}(1-\hat p_{1})+\hat p_{2}(1-\hat p_{2})}{n}}[/tex]
[tex]n=[\frac{z_{\alpha/2}\times \sqrt{\hat p_{1}(1-\hat p_{1})+\hat p_{2}(1-\hat p_{2})}}{MOE}]^{2}[/tex]
[tex]=[\frac{1.96\times \sqrt{0.50(1-0.50)+0.50(1-0.50)}}{0.20}]^{2}\\\\=48.02\\\\\approx 49[/tex]
Thus, the minimum sample size required is 49.
If Miranda flips a coin twice, what is the probability that both coins will land heads up?
The probability that the first coin will land heads up is
The probability that the second coin will land heads up is
The probability that both coins will land heads up is
Answer: The probability that the first coin will land heads up is : 50
The probability that the second coin will land heads up is
The probability that both coins will land heads up is : 25
Step-by-step explanation:
Answer: Both coins 1/4
First coin 1/2
Second coin 1/2
State the type of hypothesis test to be used in the following situation: Researchers hoped to determine whether time spent watching television is associated with cardiovascular fitness. Subjects were asked how many hours per day they watch television and were classified as physically fit if they scored in the excellent or very good category on a step test. The data obtained is as follows: Physically Fit Not Physically Fit 0 hours 35 147 1-2 hours 101 629 3-4 hours 28 222 5 or more hours 4 34 Determine if the association the researchers were interested in exists or not.
Answer:
t-test for difference in slopes
no association exists
Step-by-step explanation:
t-test can be used to determine signifiance in difference in slopes of of fit vs time and not fit vs time graph
The data shows that as number of hours spent watchnig television increases, there is no increasing or decreasing trend in number of people fit or not fit. The number of people fit or not fit seems to be distributed around 629 for 1-2 hours of watching television. There trend is not consistent in both cases with increasing number of hours
I. Red help pls bros
Answer:
the 3rd one
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
because it has too many on one side
We analyzed the relationship between the budgets (in millions of dollars) and the U.S. Box Office Sales (in millions of dollars) for 75 popular movies. The scatterplot showed a weak positive association with a linear form. Here are the StatCrunch linear regression results:
Simple linear regression results:
Dependent Variable: US_Box_Office
Independent Variable: Budget US_Box_Office
IMDb_Rating Rotten Tomatoes = -57.599288 + 17.919209 IMDb_Rating Sample size: 75
R(correlation coefficient) = 0.79786226
R-sq = 0.63658418
Estimate of error standard deviation: 12.916488
Which number describes the percentage of variability in Rotten Tomato ratings that is explained by the changes in IMDb ratings as described by the regression line? This is the slope of the regression line. It describes the predicted change in Rotten Tomato ratings when IMDb ratings increase by one.
a. 0.80
b. 0.64
c. 12.9
d. 17.9
Answer:
According to the information from the exercise, we can deduce that the regression technique is the method of analysis for IMDb ratings and Rotten tomato ratings, so we have a dependent variable such as rotten tomatoes and the independent one that is IMDb-rating. We can say that in this analysis that the variation of the dependent variable is explained by the coefficient of determination, we observe that the coefficient of determination is 0.63 if we convert it into a percentage we obtain that it is equal to 63.65% and we approach 64%, with which which we affirm that it is equal to 64, so this value is the influence that the IMDb ratings generated on the ratings of rotten tomatoes
The percentage of variability in Rotten Tomato ratings explained by the changes in IMDb ratings is represented by the R-squared value of 0.64. Therefore, the correct answer is B. 0.64.
To determine the percentage of variability in Rotten Tomatoes ratings that is explained by the changes in IMDb ratings as described by the regression line, we need to look at the [tex]\( R^2 \)[/tex] value (coefficient of determination).
In the results provided:
[tex]\[R^2 = 0.63658418\][/tex]
This [tex]\( R^2 \)[/tex] value represents the proportion of variability in the dependent variable (Rotten Tomatoes ratings) that can be explained by the independent variable (IMDb ratings) in the regression model.
So, the percentage of variability in Rotten Tomato ratings that is explained by changes in IMDb ratings is:
[tex]\[R^2 = 0.63658418 = 0.64 \text{ or} 64%)\][/tex]
Therefore, the correct answer is:
b. 0.64
What is the covariance for the number of times a head appears for each coin? Suppose you have two unfair coins. Coin 1, denoted as C1, has a probability of landing heads with probability 2/5 and tails with probability 3/5. Coin 2, denoted as C2, has a probability of landing heads with probability 1/3 and tails with probability 2/3. Toss coin 1 first. If coin 1 lands heads, toss coin 1 again. If coin 1 lands tails, then toss coin 2.
Answer:
Check the explanation
Step-by-step explanation:
Kindly check the attached images below to see the step by step explanation to the question above.
Help? Question are above. 15 points
Answer:
1).
7, rational
2).
2.36 (repeating), irrational
3).
[tex]Simplify:\frac{734}{1000} / \frac{2}{2} = \frac{367}{500}[/tex]
4).
[tex]Simplify: \frac{2588}{1000} /\frac{4}{4} =\frac{647}{250} \\If.you.want.to.convert.it.to.a.mixed.fraction: 2\frac{147}{250}[/tex]
» A cylinder has a height of 13 millimeters and a radius of 11 millimeters. What is its
volume? Use a 3.14 and round your answer to the nearest hundredth.
Answer:
V =4939.22 mm^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
where r is the radius and h is the height
V = 3.14 (11)^2 *13
V =4939.22 mm^3
What is the rate of change of the following function?
Answer:
You did not provide any function...therefore, i cant give you a proper answer.
Step-by-step explanation:
Find 6% of $5.65 and round the product to the nearest cent.
Answer:
$0.34
Step-by-step explanation:
a = p*w
a = .06*5.65
a = 0.339
rounded = 0.34
hope this helps :)
The chair of the Department of Mathematics and Statistics needs to appoint a faculty committee consisting of 5 mathematics and 4 statistics faculty. There are 23 mathematics and 14 statistics faculty members in the department. In how many ways can he select a committee? Setup the numerical expression using fractions, factorials, etc. but you do not need to evaluate it.
Answer:
There are 27,720 ways to select the committee
Step-by-step explanation:
First, it is necessary to know how many ways are there to select 3 members, if there are 9 members of the mathematics department. This can be found using the following equation:
Where nCk gives as the number of ways in which we can select k elements from a group of n elements. So, replacing n by 9 and k by 3 members, we get:
So, there are 84 ways to select 3 members from 9 members of the mathematics department.
At the same way, we can calculate that there are 330 ways to select 4 members from the 11 that belong to the Computer science department as:
Finally the total number of ways in which we can form a committee with 3 faculty members from mathematics and 4 from the computer science department is calculated as:
9C3 * 11C4 = 84 * 330 = 27,720
It cost Jodi $44.88 to buy 12 gallons of gas.what was the cost per gallon of gas?
Answer: $3.74
Step-by-step explanation: 44.88/12=3.74
Answer:
Jodi paid $3.74 for each gallon of gas
Step-by-step explanation:
Patrick is getting new carpet in his rectangular room. He needs 60 square units of carpet. His living room measured 10 units long
It's B
Step-by-step explanation:
Plz help ASAP. Need help on this
Answer:
RS, RT and ST
Step-by-step explanation:
A tangent to a circle is a line that meets a circle at only one point.
AP is the radius and XT is not even a line.
Hope it helps!
Some students checked 6 bags of Doritos marked with a net weight of 28.3 grams. They carefully weighed the contents of each bag, recording the following weights (in grams): 29.2, 28.5, 28.7, 28.9, 29.1, 29.5. The average weight is 29.0 and the standard deviation is 0.36. Assume the weight of the bags follows normal distribution. Does this provide strong evidence that the true weight is not 28.3 grams?
Answer:
We conclude that the true mean weight is not 28.3 grams at 5% significance level.
Step-by-step explanation:
We are given that some students checked 6 bags of Doritos marked with a net weight of 28.3 grams.
They carefully weighed the contents of each bag, recording the following weights (in grams): 29.2, 28.5, 28.7, 28.9, 29.1, 29.5. The average weight is 29.0 and the standard deviation is 0.36.
Let [tex]\mu[/tex] = true mean weight of bag.
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 28.3 grams {means that the true mean weight is 28.3 grams}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] [tex]\neq[/tex] 28.3 grams {means that the true mean weight is not 28.3 grams}
The test statistics that would be used here One-sample t test statistics as we don't know about the population standard deviation;
T.S. = [tex]\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }[/tex] ~ [tex]t_n_-_1[/tex]
where, [tex]\bar X[/tex] = sample mean weight = 29.0 grams
s = sample standard deviation = 0.36 grams
n = sample of bags = 6
So, test statistics = [tex]\frac{29.0-28.3}{\frac{0.36}{\sqrt{6} } }[/tex] ~ [tex]t_5[/tex]
= 4.763
The value of t test statistics is 4.763.
Since, in the question we are not given the level of significance so we assume it to be 5%. Now, at 5% significance level the t table gives critical values of -2.571 and 2.571 at 5 degree of freedom for two-tailed test.
Since our test statistics does not lie within the range of critical values of t, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.
Therefore, we conclude that the true mean weight is not 28.3 grams.
There is strong evidence to suggest that the true mean weight of the Doritos bags is not 28.3 grams, based on a hypothesis test that resulted in a very low p-value.
To determine if there is strong evidence that the true mean weight of the Doritos bags is not 28.3 grams, we perform a hypothesis test using the given data.
State the null hypothesis (H0) and the alternative hypothesis (Ha):
H0: μ = 28.3 grams (the true mean weight is 28.3 grams)
Ha: μ ≠ 28.3 grams (the true mean weight is not 28.3 grams)
Calculate the test statistic:
The test statistic for a sample mean is given by:
z = (sample mean - population mean) / (standard deviation / √(n))
Here, the sample mean = 29.0 grams, population mean = 28.3 grams, standard deviation = 0.36 grams, and n = 6.
Thus, z = (29.0 - 28.3) / (0.36 / √(6)) ≈ 4.08
Using a z-table, the p-value associated with a z-score of 4.08 is extremely small (much less than 0.05).
Compare the p-value to the significance level (α):
At α = 0.05, since the p-value is much smaller, we reject the null hypothesis.
Since the p-value is very low, there is strong evidence to suggest that the true mean weight of the Doritos bags is not 28.3 grams.
A trapezoid on a square. The square has side lengths of 12 feet. The trapezoid has a base of 6 feet, height of 3 feet, and top side length of 4 feet. Tariq is a swimming-pool designer. He is known for his irregular-shaped swimming pools. The bottom of this pool will be covered in tile. The area of the pool that is covered in tile is ft2.
Answer:
159
Step-by-step explanation:
Answer:
159
Step-by-step explanation: