A random sample of 16 students selected from the student body of a large university had an average age of 25 years and a standard deviation of 2 years.We want to determine if the average age of all the students at the university is significantly more than 24.Assume the distribution of the population of ages is normal.The p-value is between
A) .005 to .01.
B) .01 to .025.
C) .025 to .05.
D) .05 to .10.

Question

Quizplus · Accepted Answer

We need to conduct a one-sample t-test with a null hypothesis of mu = 24 and an alternative hypothesis of mu > 24. The test statistic is (25-24)/(2/sqrt(16)) = 4, which corresponds to a p-value of approximately 0.001. Since this is less than the significance level of 0.05, we reject the null hypothesis and conclude that the average age of all students at the university is significantly more than 24. The closest option to the p-value of 0.001 is between .025 and .05, so the answer is C.

A Random Sample of 16 Students Selected from the Student