Teacher Essay

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Pages: 4

StatCrunch Assignment 2

First save this file to your computer. Answer each of the following questions, then resave the file along with your answers and turn it in using the assignment link in Module 3, Activity 4. the first four problems are worth 10 points each. Problems 5 and 6 are worth 30 points each.

1. If the original sample is 48, 55, 43, 61, 39, which of the following would not be a possible bootstrap sample? Explain why it wouldn’t be.

a) 48, 55, 43, 61, 39
b) 43, 39, 56, 43, 61
c) 55, 48, 55, 48, 61
d) 39, 39, 39, 39, 39
The answer is be because the number “56” is not part of the original data so it cannot be used in bootstrapping.

2. The following bootstrap output is for mileage of a random sample of 25 mustang
The null hypothesis for this problem would be no difference in the mean amount of credit card debt for males and females and the alternate hypotheses would be that there is a difference in mean amounts of credit card debt. Conduct a randomization test for two means with 3000 randomizations. (Your input menu should be as follows.)

a) Paste the output from your randomization test here.

b) What is the mean difference in credit card debt of the two groups in the original data?
Females – 3573.64286%
Males – 2791.0625%
Difference - -782.5804%

c) What p-value did you get in your randomization? Explain in the context of the problem what the p-value means.
The males were the more extreme example of either having very little or a lot of CC Debt. The females held the largest distribution across the mean, occupying the center quartile of means.

d) Do you think the data support the null hypothesis of no difference in mean credit card debt between males and females or the alternate hypothesis that there is a difference? Explain your answer.
I believe that females will typically incur more CC Debt than males will so I think that the null hypothesis is supported. The females in this sample may have spent more money on school expenses while the males did