Data were collected on the annual mortality rate (deaths per 100,000) for males in 61 large towns
in England and Wales. The data set also notes for each town whether it was south or north of
Derby. The summary statistics are given below. Is there a significant difference in mortality rates
in the two regions? Answer parts a and b. Assume a siqnificance level of = 0.05 . 3 Click the
icon to view the boxplot of the data. a) Test the null hypothesis at = 0.05 using the two-sample t-
test. Identify the null and alternative hypotheses. Choose the correct answer below. A. H 0 : N S
= 0 B. H 0 : N S = 0 H A : N S > 0 H A : N S < 0 c. H 0 : N S = 0 D. H 0 : N S = 0 H A : N S = 0
H A : N S = 0 Compute the t-statistic. t = (Round to two decimal places as needed.) Find the P-
value. The P-value is (Type an integer or decimal rounded to three decimal places as needed.)
State the conclusion. Recall that = 0.05 . Choose the correct answer below. A. Reject H 0 . There
is not sufficient evidence that the mean mortality rate is different for the two towns. B. Fail to
reject H 0 . There is sufficient evidence that the mean mortality rate is different for the two
towns. c. Fail to reject H 0 . There is not sufficient evidence that the mean mortality rate is
different for the two towns. D. Reject H 0 . There is sufficient evidence that the mean mortality
rate is different for the two towns. b) The boxplots of the two distributions show an outlier
among the data north of Derby. What effect might that have had on the test? Choose the correct
answer below. A. Since only one sample has an outlier, the results are still valid. B. The outlier
means that the data may not be normal, so the results are not valid. C. The outlier does not affect
any of the summary data, so the results are valid. D. The effect of the outlier will be small, so the
results are still valid. Graph/Chart.
