Question

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 significance level of alphaequals0.05. Group Count Mean Median StdDev North 28 1612.31 1612 125.97 South 33 1592.56 1575 147.48 LOADING... Click the icon to view the boxplot of the data. ​a) Test the null hypothesis at alphaequals0.05 using the​ two-sample t-test. Identify the null and alternative hypotheses. Choose the correct answer below. A. Upper H 0​: mu Subscript Upper N Baseline minus mu Subscript Upper S Baseline equals 0 Upper H Subscript Upper A​: mu Subscript Upper N Baseline minus mu Subscript Upper S Baseline not equals 0 B. Upper H 0​: mu Subscript Upper N Baseline minus mu Subscript Upper S Baseline equals 0 Upper H Subscript Upper A​: mu Subscript Upper N Baseline minus mu Subscript Upper S Baseline less than 0 C. Upper H 0​: mu Subscript Upper N Baseline minus mu Subscript Upper S Baseline not equals 0 Upper H Subscript Upper A​: mu Subscript Upper N Baseline minus mu Subscript Upper S Baseline equals 0 D. Upper H 0​: mu Subscript Upper N Baseline minus mu Subscript Upper S Baseline equals 0 Upper H Subscript Upper A​: mu Subscript Upper N Baseline minus mu Subscript Upper S Baseline greater than 0 Compute the​ t-statistic. tequals nothing ​(Round to two decimal places as​ needed.) Find the​ P-value. The​ P-value is nothing. ​(Type an integer or decimal rounded to three decimal places as​ needed.) State the conclusion. Recall that alphaequals0.05. Choose the correct answer below. A. Reject Upper H 0. There is sufficient evidence that the mean mortality rate is different for the two towns. B. Fail to reject Upper H 0. There is sufficient evidence that the mean mortality rate is different for the two towns. C. Reject Upper H 0. There is not sufficient evidence that the mean mortality rate is different for the two towns. D. Fail to reject Upper H 0. There is not 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 does not affect any of the summary​ data, so the results are valid. C. The effect of the outlier will be​ small, so the results are still valid. D. The outlier means that the data may not be​ normal, so the results are not valid.

Answer 1

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