Find the critical values for each. Show the critical and noncritical regions, and state the appropriate null and alternate hypothesis. Use population variance = 225.
alpha = 0.01, n = 17, right-tailed
alpha = 0.025, n = 20, left-tailed
alpha = 0.01, n = 13, two-tailed
alpha = 0.025, n = 29, left-tailed
Find the P-value interval for each X2 test value.
a) X2 = 13.974, n = 28, two-tailed
b) X2 = 10.571, n = 19, left-tailed
c) X2 = 12.144, n = 6, two-tailed
d) X2 = 8.201, n = 23, two-tailed
A statistic professor is used to having a variance in his class grades of no more than 100. He feels that his current group of students is different, and so he examines a random sample of midterm grades as shown. At alpha = 0.05, can it be concluded that the variance in grades exceeds 100? Data: 92.3, 89.4, 76.9, 65.2, 49.1, 86.7, 69.5, 72.8, 67.5, 52.8, 88.5, 79.2, 72.9, 68.7, and 75.8.
Show two different ways to state that the means of two populations are equal.
The mean age of a random sample of 25 people who were playing the slot machines is 48.7 years, and the standard deviation is 6.8 years. The mean age of a random sample of 35 people who were playing roulette is 55.3 with a standard deviation of 3.2 years. Can it be concluded at alpha = 0.05 that the mean age of those playing the slot machines is less than those playing roulette.
A large group of friends went miniature golfing together at a par 54 course and decided to play on two teams. A random sample of scores from each of the two teams is shown. At alpha = 0.05, is there a difference in mean scores between the two teams? Use the P-value method.
Team 1: 61, 44, 52, 47, 56, 63, 62, 55
Team 2: 56, 40, 42, 58, 48, 52, 51
