Problem 1. Below are the names of five hypothesis tests we covered. For each scenario in Parts A-D, firstidentify the hypothesis test that is most appropriate to use, then check all assumptions to determinewhether the hypothesis test should be done given the way the data was collected. [3 pts each]a. One sample t-testb. Two independent samples t-testc. Matched pairs t-testd. One sample proportion (Large Sample) z-teste. Two sample proportions z-testA) Cam wants to know whether Albertson's has lower prices than Ralph's. He purchases the same basketof foods at five randomly selected Ralph's stores and eight randomly selected Albertson's. The pricedistribution for Albertson's seems to be skewed right.lest to use:(choose a letter a-e)Should he do it?(Yes/No)Check assumption:sB) Tony wants to know if his strength-training program works. For each of the 50 randomly selectedvolunteers, he measures the number of push-ups they can do before the program and the number ofpush-ups they can do after participating in his program for six weeksTest to use(choose a letter a-e)Should he do it?(Yes/No)Check assumption:sC) According to ASTM standard D5585, a women's size 6 is supposed to correspond to a waist size of 27inches. Grace measures all of the size 6 clothing in her and her best friend's closets in an attempt toshow that manufacturers, on average, do not conform to this standardTest to use(choose a letter a-e)Should she do it?(Yes/No)Check assumption:sD) Raquel would like to show that over half of all children do not eat healthy enough at lunch. Sheobtains a simple random sample of 500 schoolchildren and finds that 60% of them do not eat anyvegetables with their school lunchTest to use(choose a letter a-e)Should she do it?(Yes/No)Check assumption:s

Question
Asked Apr 4, 2019
46 views
Problem 1. Below are the names of five hypothesis tests we covered. For each scenario in Parts A-D, first
identify the hypothesis test that is most appropriate to use, then check all assumptions to determine
whether the hypothesis test should be done given the way the data was collected. [3 pts each]
a. One sample t-test
b. Two independent samples t-test
c. Matched pairs t-test
d. One sample proportion (Large Sample) z-test
e. Two sample proportions z-test
A) Cam wants to know whether Albertson's has lower prices than Ralph's. He purchases the same basket
of foods at five randomly selected Ralph's stores and eight randomly selected Albertson's. The price
distribution for Albertson's seems to be skewed right.
lest to use:
(choose a letter a-e)
Should he do it?
(Yes/No)
Check assumption:s
B) Tony wants to know if his strength-training program works. For each of the 50 randomly selected
volunteers, he measures the number of push-ups they can do before the program and the number of
push-ups they can do after participating in his program for six weeks
Test to use
(choose a letter a-e)
Should he do it?
(Yes/No)
Check assumption:s
C) According to ASTM standard D5585, a women's size 6 is supposed to correspond to a waist size of 27
inches. Grace measures all of the size 6 clothing in her and her best friend's closets in an attempt to
show that manufacturers, on average, do not conform to this standard
Test to use
(choose a letter a-e)
Should she do it?
(Yes/No)
Check assumption:s
D) Raquel would like to show that over half of all children do not eat healthy enough at lunch. She
obtains a simple random sample of 500 schoolchildren and finds that 60% of them do not eat any
vegetables with their school lunch
Test to use
(choose a letter a-e)
Should she do it?
(Yes/No)
Check assumption:s
help_outline

Image Transcriptionclose

Problem 1. Below are the names of five hypothesis tests we covered. For each scenario in Parts A-D, first identify the hypothesis test that is most appropriate to use, then check all assumptions to determine whether the hypothesis test should be done given the way the data was collected. [3 pts each] a. One sample t-test b. Two independent samples t-test c. Matched pairs t-test d. One sample proportion (Large Sample) z-test e. Two sample proportions z-test A) Cam wants to know whether Albertson's has lower prices than Ralph's. He purchases the same basket of foods at five randomly selected Ralph's stores and eight randomly selected Albertson's. The price distribution for Albertson's seems to be skewed right. lest to use: (choose a letter a-e) Should he do it? (Yes/No) Check assumption:s B) Tony wants to know if his strength-training program works. For each of the 50 randomly selected volunteers, he measures the number of push-ups they can do before the program and the number of push-ups they can do after participating in his program for six weeks Test to use (choose a letter a-e) Should he do it? (Yes/No) Check assumption:s C) According to ASTM standard D5585, a women's size 6 is supposed to correspond to a waist size of 27 inches. Grace measures all of the size 6 clothing in her and her best friend's closets in an attempt to show that manufacturers, on average, do not conform to this standard Test to use (choose a letter a-e) Should she do it? (Yes/No) Check assumption:s D) Raquel would like to show that over half of all children do not eat healthy enough at lunch. She obtains a simple random sample of 500 schoolchildren and finds that 60% of them do not eat any vegetables with their school lunch Test to use (choose a letter a-e) Should she do it? (Yes/No) Check assumption:s

fullscreen
check_circle

Expert Answer

Step 1

Hi, since the question posted by you multiple sub-parts, we will be providing you with answer for the first three sub-parts. If you want any specific sub-part to be answered, please submit the sub-part again with the sub-part name or number. Thank you.

Step 2

A.

Given information:

The aim of Cam is to test whether the Albertson’s has lower prices than Ralph’s.

For this he purchases the same basket of foods at five randomly selected Ralph’s stores and eight randomly selected Albertson’s stores. Furthermore, it is said that the price distribution for Albertson’s seems to be skewed right.

Independent samples:

Any two randomly selected samples are said to be independent, if the observations in one sample do not depend on the observations in the other sample. In other words it can be said that the observations in one sample should not influence the observations in the other sample.

Here, the two samples Ralph’s stores and Albertson’s stores are random samples. Since, they are selected randomly. The prices of Ralph’s stores do not depend on the prices of Albertson’s stores. That is, observations in Ralph’s stores sample do not influence the observation in Albertson’s stores sample.

Therefore, the two samples Ralph’s stores and Albertson’s stores are independent samples.

The aim is to test whether or not the Albertson’s prices are lower than Ralph’s prices.

Thus, the two independent samples t test can be used. Option (b) has to be selected.

Step 3

Check the validity of the test:

Assumptions for two independent samples t test:

The required conditions for using two independent samples t test are given below:

  • The two samples must be randomly selected from the two populations.
  • The two samples must be independent of one another.
  • Population standard deviations must be unknown.
  • Either each sample size (n) must be greater than 30 or the populations must be normally distributed.

Here, the sample size of Ralph’s stores prices is n1 = 5 and the sample size of Albertson’s stores prices is n2 = 8.

Here, both t...

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Statistics

Other

Related Statistics Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: The dose-response effect is best described as A. when similar studies produce similar results B...

A: Introduction:The dose-response effect is a measure of the magnitude of the response in the subjects ...

question_answer

Q: In general, we want to see if elderly primes will lead people to feel elderly feelings and see an ol...

A: The independent variable is that which is changed by the experimenter to test the outcome of the dep...

question_answer

Q: (c) Compute the sample correlation coefficient r for each of the following data sets and show that r...

A: Sample correlation coefficient:The Karl Pearson’s product-moment correlation coefficient or simply, ...

question_answer

Q: A population has a mean of 15 and standard deviation of 3. Round the answers to two decimal places a...

A: Let X be the observation. X follows normal distribution with mean μ = 15 and the standard deviation ...

question_answer

Q: In a union-management negotiation, the following are the percentages of annual wage increase gained ...

A: Let’s make a table to see this data M1M2M3U1133U2422U3314U4332U5312

question_answer

Q: If X(n,p) is a binomial random variable with parameters n and p, then why is it that X(n+1,p) stocha...

A: Both random variables have common probability space, we can clearly say that the expected value of X...

question_answer

Q: You are the foreman of the Bar-S cattle ranch in Colorado. A neighboring ranch has calves for sale, ...

A: Note: We are authorized to answer 3 sub parts at a time, since you have not mentioned which subparts...

question_answer

Q: Compute r, the correlation coefficient, using the following data.  x 2 1 7 8 3 6 y 3 4 10 11 4 ...

A: In this question we have a given data for variable x and y, and we have to find the correlation coef...

question_answer

Q: Determine which of the four levels of measurement ( norminal, ordinal, interval, ratio) is most appr...

A: Explanation:In this case, the year in which a U.S. president was inaugurated, is a characteristic of...