Exhibit 9-6
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.
-Refer to Exhibit 9-6. The test statistic is
A)1.96
B)2.00
C)1.645
D)0.05

Question

Quizplus · Accepted Answer

To find the test statistic, we use the formula:

t = (x̄ - μ) / (s / √n)

Where x̄ is the sample mean (25), μ is the hypothesized population mean (24), s is the sample standard deviation (2), and n is the sample size (16).

Plugging in the values, we get:

t = (25 - 24) / (2 / √16) = 2

Therefore, the test statistic is 2, which corresponds to choice B.

Exhibit 9-6 A Random Sample of 16 Students Selected from the Student