13. A test of sobriety involves measuring the subject's motor skills. The mean score for men who are sober is known to be 35.0. A researcher would like to perform a hypothesis test to determine whether the mean score for sober women is higher than this number. Twenty randomly selected sober women take the test and produce a mean score of 39.0 with a standard deviation of 7.05. (a) (6 points) Construct a 90% confidence interval for the mean motor skill score for sober women (b) (6 points) If it was determined that the population standard deviation for this situation is 10.11, Test the researchers claim using the provided sample at 90% confidence. What is the p-value for this situation and up to what confidence can we reject