Question

# A random sample of 16 students selected from the student body of a large university had...

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.  At 95% confidence, it can be concluded that the mean age is

 a. significantly different from 24 b. not significantly different from 24 c. significantly more than 24 d. significantly less than 24

#### Homework Answers

Answer #1

H0: = 24

Ha: > 24

Test statistics

t = - / S / sqrt(n)

= 25 - 24 / 2 / sqrt(16)

= 2

This is test statistics value

Critical value at 0.05 level with 15 df = 1.753

Since test statistics > 1.753, we have sufficient evidence to reject H0.

We conclude that we have sufficient evidence to support the claim that mean age is

significantly more than 24

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