A university must choose a team of 5 students to participate in a TV quiz show. The students will be chosen at random from a pool of 42 potential participants of whom 23 are women. The random variable X represents the number of women on the team.
A) hypergeometric; N = 42, n = 5, k = 23, x = 0, 1, 2, 3, 4, 5
B) hypergeometric; N = 42, n = 23, k = 5, x = 0, 1, 2, 3, 4, 5
C) hypergeometric; N = 42, n = 5, k = 23, x = 0, 1, 2, . . . , 23
D) not hypergeometric
Q. 2The ages of five randomly chosen cars in a parking garage are determined to be 7, 9, 3, 4, and 6 years old. If we consider this sample of 5 in groups of 3, what is the probability of the population mean being more than 6 years?
A) 0.4 B) 0.5 C) 0.1 D) 0.6
Q. 3Find the critical value for a right-tailed test with a = 0.05.
A) 1.645 B) 1.96 C) 1.28 D) 2.33
Q. 4Find P(A and B) given that P(
A) = 0.2, P(B) = 0.4, and A and B are independent.
A) 0.08 B) 0 C) 0.6 D) 0.2
Q. 5A severe drought affected several western states for 3 years. A Christmas tree farmer is worried about the drought's effect on the size of his trees.
To decide whether the growth of the trees has been retarded, the farmer decides to take a sample of the heights of 25 trees and obtains the following results (recorded in inches): 60 57 62 69 46 54 64 60 59 58 75 51 49 67 65 44 58 55 48 62 63 73 52 55 50 Which measure of central tendency would be considered the best measure to use in this problem? A) mean B) median C) mode D) range
Q. 6the number of seats in a school auditorium
A) quantitative B) qualitative