A random sample of n=9 men between 30-39 years old is asked to do as many sit ups as they can in one minute. The mean number is x=26.2 and the standard deviation is s=6.
a. Find the value of the standard error of the sample mean. Write a sentence that interprets this value.
b. Find a 95% confidence interval for the population mean
c. Write a sentence that interprets the confidence interval in the context of this situation