Question

# A researcher wishes to test the hypothesis that the mean age at first marriage for women...

A researcher wishes to test the hypothesis that the mean age at first marriage for women in Texas is less than 23.2. In a sample of 69 Texas women, he finds that the average age is 23.5 with a standard deviation of 4.2.

Calculate the test statistic to two decimal places.

I must be using wrong formula FOR these types of problems, please show step by step, Thanks Business Analysis3363 homework

Here population standard deviation is unknown. So, we are going to use one sample t test.

We want to test the hypothesis that the mean age at first marriage for women in Texas is less than 23.2.

1. Null hypothesis: µ = 23.2

Alternative hypothesis: µ < 23.2

1. This is one-sided test.

We have given Population mean µ = 23.2

Sample mean (X) = 23.5

Sample standard deviation (S) = 4.2

Sample size (n) = 69

Test statistics (t) = (X - µ) / (S/ √n)

t = (23.5 - 23.2)/ (4.2/sqrt(69) = 0.593

Test statistics t = 0.59

The test statistics is 0.59