A professor was curious about her students' grade point averages (GPAS). She took a random sample of 15 students and found a mean GPA of 3.01 with a standard deviation of 0.534. Which of the following formulas gives a 99% confidence interval for the mean GPA of the professor's students? 0.534 E 0.534 2.9768 0.534 M 0.534- 2'9467 Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. I. 3.01 i 2.9467 N 3.01 |+ $40 3.01 2.58 |+ :k 3.01 |+ 3 Option 1 b Option 2 c Option 3 d Option 4 A sales representative for CocaCola claims that more than 65% of students prefer MelloYello over Mountain Dew. To test the hypotheses H0: p=.65, Ha: p > .65, where p is the proportion of students that prefer MelloYello over Mountain Dew, you select a sample of 150 students, which results in 102 expressing a preference for Mello-Yello. What is the Pvalue for this hypothesis test? Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a .779 b .221 c .442 d .680 After asking a sample of her students for their opinion of her class, the statistics professor calculates the test statistic z : 2.69 for the hypothesis test H0: p = 0.80 HA: p > 0.80, where p is the proportion of all students in the class who enjoyed the class. Which ofthe following is true? Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer. a The Pvalue is .9964 and conclude that more than 80% of the students enjoyed her class. b The Pvalue is .0036 and conclude that more than 80% of the students enjoyed her class. c The Pvalue is .9964 and conclude that less than 80% ofthe students enjoyed her class. d The Pvalue is .0036 and conclude that less than 80% ofthe students enjoyed her class