Suppose we take a sample of 18 men and 17 women to estimate the difference in average height between men and women. The men had an average height of 70 inches with a standard deviation of 3, and the women had an average height of 66 inches with a standard deviation of 2. Calculate the pooled sample variance (Sp^2) for a two-sample confidence interval for the difference in means.

And replacing we got:

Step-by-step explanation:

Data given

For this case we have the following info given:

represent the random sample size of men

represent the random sample size of women

represent the average for men

represent the average for women

represent the sample deviation for men

represent the sample deviation for women

Solution to the problem

The pooled variance is given by this formula:

And replacing we got:

And the pooled sample deviation would be: