Homework 12: Problem 10 Previous Problem Problem List Next Problem (1 point) The hypothesis test H0 : ,4 = 177.7 H1 : [4 95 177.7 is to be carried out for a population where 0' is not known. A random sample of 31 has a mean of 179 and yields the test statistic of t0 = 0.58846. What was the standard deviation of the sample? 5: 11-21: Problem 1 Previous Problem Next Problem (1 point) A new cream that advertises that it can reduce wrinkles and improve skin was subject to a recent study. A sample of 70 women over the age of 50 used the new cream for 6 months. Of those 70 women, 31 of them reported skin improvement (as judged by a dermatologist). Is this evidence that the cream will improve the skin of more than 60% of women over the age of 50? Test using a = 0.05. test statistic z = The final conclusion is A. We can reject the null hypothesis that p = 0.6 and accept that p > 0.6. That is, the cream can improve the skin of more than 60% of women over 50. B. There is not sufficient evidence to reject the null hypothesis that p = 0.6. That is, there is not sufficient evidence to reject that the cream can improve the skin of more than 60% of women over 50