webwork / math 210 s18_swansont / lation based approach / 2 06.2 Comparing two m
ID: 3051447 • Letter: W
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webwork / math 210 s18_swansont / lation based approach / 2 06.2 Comparing two means simulation based approach: Problem 2 Previous Problem ListNext (1 point) I Haircut prices An instructor collected data on prices (in dollars) paid by students for their most recent haircut, also recording each student's sex, to teet whether females in the population paid more on average for their most recent haircut than males. a. The p-value for the appropriate significance test turns out to be 0.0024. What would you conclude? Select all that apply A. The sample data provide little evidence that females in the population paid more on average than males for their most recent haircut. B. The sample data provide strong evidence that females in the population paid much more on average than males for their most recent haircut. C. The sample data provide strong evidence that females in the population paid more on average than males for their most recent haircut. b. The sample mean prices were 23.32 dolilars for males and 50.73 dollars for females, a difference of 27.41 dollars. Which are appropriate interpretations of the p-value of 0.0024? Select all that apply. A. If there were no difference in the population between what females and males paid for their most recent haircut, then there's a 0.24% chance that the sample mean price for females would have been at least 27.41 dollars higher than the sample mean price for males. B. If there were no difference in the population between what females and males paid for their most recent haircut, then 0.24% of all random shuffles based on the sample data would produce the shuffled mean price for females being at least 27.41 dollars higher than the shuffled mean price for males. a 0.24% chance that women in the population did not pay more on average than males for their most recent C. There's haircut. Note: In order to get credit for this problem all answers must be correct.Explanation / Answer
Solution:
a)
We reject the null hypothesis when p-value is less than alpha.
In this situation, we assume alpha to be 0.05.
Since our p-value ie 0.0024 is less than 0.05, we reject the null hypothesis that there is no difference between the mean hair cut price for females and males.
Ie
c) The sample data provide strong evidence that females in the population paid more on average than males for their most recent haircut.
b)
The p-value is the probability of finding the observed results when the null hypothesis (H0) of a study is true.Hence,
c) There is 0.24% chance that women in the population did not pay more on average than males for their most recent haircut.
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