Question

The age of residents living in coastal areas as well as noncoastal areas throughout the United States was collected and recorded below. Use a 0.05 significance level to test the claim that there is no difference between the age of the residents living in coastal areas as compared to those living in

noncoastal areas: n = 150 x= 35.6 years s = 15.5 years

Coastal Areas:  n = 125 x= 38.3 years s = 16.2 years

State:

Plan:

Do:

Conclude:

Answer 1

The test hypothesis is

This is a two-sided test because the alternative hypothesis is formulated to detect differences from the hypothesized difference in mean values on either side.
Now, the value of test static can be found out by following formula:

Degrees of freedom on the t-test statistic are n1 + n2 - 2 = 150 + 125 - 2 = 273
For . Since , we fail to reject the null hypothesis H0 at .