2 Researchers reported data on ten cases of a disease Ages o

2) Researchers reported data on ten cases of a disease. Ages of the patients were 25, 28, 17, 26, 27, 22, 25, 30, 35, 29. We wish to conclude that the mean age of the patients is greater than 25 years. A) Test this statement with hypothesis test for ?=0.01 and also calculate the p value. B) If the true mean age is 30 what is the probability of Type II (?) error for the test done in part A?

Solution

2) Researchers reported data on ten cases of a disease.

Ages of the patients were 25, 28, 17, 26, 27, 22, 25, 30, 35, 29.

We wish to conclude that the mean age of the patients is greater than 25 years.

A) Test this statement with hypothesis test for a=0.01 and also calculate the p value.

Ho: Mean = 25

Ha: Mean > 25

Alpha = .01

Sample mean = 26.4

Sample standard deviation = 4.812

Test statistic, t = (26.4