For questions 1-5 use a normal random variable X with x-bar = 60 and s = 6.

1. Compute the Z-score for X = 52.

a. 1.33 b. 0.4082 c. 1.33 d. 0.0918 e. not given

1. Determine the value of X that is equivalent to a Z-score of 1.96.

a. 67.96 b. 61.96 c. 48.24 d. 76.71 e. not given

1. Find the probability that X is between forty-five and seventy-five.

a. 0.9587 b. 0.0062 c. 0.0537 d. 0.9463 e. not given

1. Give the probability that X is at most 78.5.

a. 0.999 b. 0.4990 c. 3.08 d. 0.001 e. not given

1. Calculate the value, Xo, such that P (X < Xo) is 0.3023?

a. -0.85 b. 65.1 c. 52.9 d. 0.85 e. not given

1. What is the value for P(Z<1.96).

a. 0.9750 b. 0.4500 c. 0.0250 d. 0.4750 e. not given

1. Which value of Zo satisfies P(Z

a. 0.44 b. 0.954 c. 0.44 d. 0.7486 e. not given

1. Choose the correct standard error for x-bar if s = 5.4756 and n = 36.

a. 0.5121 b. 0.39 c. 0.9126 d. 0.065 e. not given

1. Calculate the z-score for x = 58 if x-bar is 70 and s^2 is 5.

a. 5.37 b. 2.4 c. 2.4 d. 5.37 e. not given

1. Determine P(-1.23

a. 0.2171 b. 0.5643 c. 0.1736 d. 0.3907 e. not given

1. In a population of normally distributed aptitude scores of 1000 academy students with mean 70 and

Standard deviation 10, how many score below 95?

a. 494 b. 6 c. 25 d. 250 e. not given

1. The z-score for x-bar = 2.7, = 3, s = 1, and n = 100 is:

a. 30 b. 3 c. 0.3 d. 3 e. not given

1. Find a 95% confidence interval for if s = 5.26, x-bar = 70.1, and n = 49.

a. 70.1+/-0.2104 b. 70.1+/-1.2361 c. 70.1+/-1.4728 d. 70.1+/-1.6772 e. not given

1. Compute a 99% confidence interval for if x-bar = 16.3, s = 1.5, and n = 25.

a. 16.3+/-0.8391 b. 16.3+/-0.774 c. 16.3+/-0.8361 d. 16.3+/-0.16782 e. not given

1. Given Ho: 80 testing at alpha level 0.01 with s = 7, n = 49, and x-bar = 83. Find the p-value.

a. 0.0013 b. 0.05 c. 0.01 d. 0.17 e. not given