Arandom sample of 16 students selected from the student body of a large university had an average age of 25 years. we want to determine if the average age of all the students at the university is significantly different from 24. assume the distribution of the population of ages is normal with a standard deviation of 2 years. at a .05 level of significance, it can be concluded that the mean age is

a. not significantly different from 24
b. significantly different from 24
c. significantly less than 24
d. significantly less than 25

Option b) significantly different from 24

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 24

Sample mean, = 25

Sample size, n = 25

Alpha, α = 0.05

Population standard deviation, σ = 2

First, we design the null and the alternate hypothesis

We use Two-tailed z test to perform this hypothesis.

Formula:

Putting all the values, we have

Now, we calculate the p-value from the standard normal table.

P-value = 0.0455

Since the p-value is less than the significance level, we fail to accept the null hypothesis and accept the alternate hypothesis.

Thus, we conclude that mean age is significantly different from 24.

the answer is a

step-by-step explanation:

answer: 5

step-by-step explanation: