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?

Test statistic = 4.75

Step-by-step 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.