Question

A researcher wishes to test the hypothesis that the mean age at first marriage for women in Texas is less than 23. In a sample of 46 Texas women, he finds that the average age is 25.8 with a standard deviation of 4. Calculate the test statistic to two decimal places?

Answer 1

Test statistic =4.75

Explanation:

We are given that

μ=23, n=46, xbar=25.8 and standard deviation=S.D=4

As the population standard deviation is unknown, so t-test statistic will be used

Test statistic t =(xbar-μ)/(S.D/√n)

Test statistic =(25.8-23)/(4/√46)

Test statistic =(2.8)/(4/6.782)

Test statistic =(2.8)/(0.5898)

Test statistic =4.75

The calculated test statistic is 4.75.