College students spend a lot of their money, not on things they would like to buy, but on text books. College text books have increased in price significantly over the past few years. The amount students spend on text books is approximately normally distributed with a standard deviation of 50 . The average amount spent on books each semester is 340 for undergraduate students and 250 for graduate students. Independent random samples of 100 undergraduate students and 80 graduate students are to be selected and the average amount they spent on text books last semester is to be compared (undergraduate graduate). What is the probability that the difference between the sample means is greater than 100?
Q. 2A hypothesis test for a population proportion p is given below: H0: p = 0.70 Ha: p 0.70 For each z-statistic, calculate the p-value for the hypothesis test. z-statistic = -1.00 . p-value = ?
a. 0.1587
b. 0.3174
c. 0.6348
d. 0.8413
Q. 3College students spend a lot of their money, not on things they would like to buy, but on text books. College text books have increased in price significantly over the past few years. The amount students spend on text books is approximately normally distributed with a standard deviation of 50 . The average amount spent on books each semester is 340 for undergraduate students and 250 for graduate students. Independent random samples of 100 undergraduate students and 80 graduate students are to be selected and the average amount they spent on text books last semester is to be compared (undergraduate graduate). What is the standard deviation of the sampling distribution of the difference in sample means?
Q. 4A hypothesis test for a population proportion p is given below: H0: p = 0.70 Ha: p 0.70 For each z-statistic, calculate the p-value for the hypothesis test. z-statistic = 0.40 . p-value = ?
a. 0.3446
b. 0.4000
c. 0.6554
d. 0.6892
Q. 5College students spend a lot of their money, not on things they would like to buy, but on text books. College text books have increased in price significantly over the past few years. The amount students spend on text books is approximately normally distributed with a standard deviation of 50 . The average amount spent on books each semester is 340 for undergraduate students and 250 for graduate students. Independent random samples of 100 undergraduate students and 80 graduate students are to be selected and the average amount they spent on text books last semester is to be compared (undergraduate graduate). What is the expected value for the difference in sample means?
Q. 6A hypothesis test for a population proportion p is given below: H0: p = 0.70 Ha: p 0.70 For each z-statistic, calculate the p-value for the hypothesis test. z-statistic = -0.40 . p-value = ?
a. 0.3446
b. 0.4000
c. 0.6554
d. 0.6892
Q. 7High school students can be categorized into two groups by the amount of activities they are involved in. Let group 1 consist of all high school students who are very involved in sports and other activities and group 2 consist of all high school students who aren't. The distributions of GPAs in both groups are approximately normal. The mean and standard deviation for group 1 are 2.9 and 0.4, respectively. The mean and standard deviation for group 2 are 2.7 and 0.5, respectively. Independent random samples of 50 high school students are to be selected from both groups (for a total of 100 students). What is the probability that the average GPAs in the two samples differ by no more than 0.1?
a. 0.1341
b. 0.2266
c. 0.2415
d. 0.8659
Q. 8A hypothesis test for a population proportion p is given below: H0: p = 0.70 Ha: p 0.70 For each z-statistic, calculate the p-value for the hypothesis test. z-statistic = 0.50 . p-value = ?
a. 0.0000
b. 0.3085
c. 0.6170
d. 0.6915