Question

In​ 1960, census results indicated that the age at which men in a certain region first married had a mean of 23.4 years. It is widely suspected that young people today are waiting longer to get married. We want to find out if the mean age of first marriage has increased since then. Complete parts a through f below.

a.) Write appropriate hypotheses.

H0:

HA:

b.)

We plan to test our hypothesis by selecting a random sample of 40 men who married for the first time last year. Do you think the necessary assumptions for inference are​ satisfied? Explain. The independence condition ____ satisfied and the Nearly Normal Condition ____ satisfied because the sample size is large. ​Therefore, using the​ Student-t model for inference_____reliable.

c.)

Describe the approximate sampling distribution model for the mean age in such samples. Select the correct choice below and fill in the answer boxes to complete your choice.

D.)

The men in our sample married at an average age of 24.2 ​years, with a standard deviation of 5.4 years. That results in a​ t-statistic of 0.937 What is the​ P-value for​ this?

Answer 1