Question 6 2 pts For the following problem, please round to two decimal places: A psychology professor of a very large class wanted to know whether students who turned in their tests first had different scores than the overall mean on the test. The overall mean score on the test was 87.24 with a standard deviation of 13.6; the scores were approximately normally distributed. The mean score for the first 81 tests was 85.19. Evaluate the researcher's hypothesis using a 5% significance level. When you transform the sample mean into a Z score, what is the value of Z?Question 1" A social psychologist interested in relationships has developed a scale that measures the degree of affection adult men feel for their father. She found that for the general population the distribution is skewed to the right, the mean degree of affection is m, and the standard deviation is it). She now is wondering if men who have themselves just become new fathers will score higher on the scale than men in general. She samples a group of 1m new fathers and nds that their mean is 65. What is the shape of the comparison distribution? 0 Skewed to the left Q It cannot be determined from the information given (:1 Skewed to the right (:1 Approxlmately normal Question 3 For the following problem, please round to two decimal places: A researcher is interested in how affectionate pet owners are. She found that the general population distribution is skewed to the right. the mean degree of affection is 88.38, and the standard deviation is 13:33. She was then interested in nding out whether cat owners are less affectionate than other pet owners. She samples a group of 100 cat owners and nds that their mean is 54.1 What is the mean of the comparison distribution