Refer to Problems 29 and 30. If in fact last year's values lost to purse snatching are normally distributed, which is the preferred procedure for performing the hypothesis test-the t-test or the Wilcoxon signed-rank test? Explain your answer.
Refer to Problem 29 and 30,
Refer to Problem 29.
a. Perform the required hypothesis test, using the Wilcoxon signedrank test.
b. In performing the hypothesis test in part (a), what assumption did you make about the distribution of last year's values lost to purse snatching?
c. In Problem 29, we used the t-test to perform the hypothesis test. The assumption in that problem is that last year's values lost to purse snatching are normally distributed. If that assumption is true, why is it permissible to perform a Wilcoxon signed-rank test for the mean value lost?
Refer to Problem 29,
The Federal Bureau of Investigation (FBI) compiles information on robbery and property crimes by type and selected characteristic and publishes its findings in Uniform Crime Reports. According to that document, the mean value lost to purse snatching was $468 in 2012. For last year, 12 randomly selected purse-snatching offenses yielded the following values lost, to the nearest dollar.

Use a t-test to decide, at the 5% significance level, whether last year's mean value lost to purse snatching has decreased from the 2012 mean. The mean and standard deviation of the data are $455.0 and $86.8, respectively?

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