38. Consider the standard normal distribution and find P(0.48 < Z < 1.6).
a. 0.2674 b. 0.6844 c. 0.9452 d. 0.2608
39. Selling prices of copies of a painting average $2500 with a standard deviation of $150. Suppose a random sample of 64 such copies was taken. Find the approximate probability that the mean selling price of the 64 copies (X̄) is less than $2537.5. That is, find the value of P (X̄ < 2537.5).
a. 0.8849 b. 0.9772 c. 0.0596 d. 0.0384
40. To determine the mean cost of groceries in a certain city, an identical grocery basket of food is purchased at each store in a random sample of 10 stores. If for this sample the average cost and standard deviation are $48.56 and $1.59 respectively, find a 98% confidence interval estimate for the cost of these groceries in the city. Express confidence interval as: x̄ ± MEx̄.
a. $48.56 ± $1.42
b. $48.56 ± $0.45
c. $48.56 ± $1.39
d. $48.56 ± $1.17
41. Determine the sample size needed to construct a 95% confidence interval to estimate the average GPA for the student population at UHD with a margin of error equal to 0.2. Assume that the standard deviation of the GPA for the student population is 1.0.
a. 9 b. 10 c. 96 d. 97
42. Suppose the nightly rate for a hotel is thought to be bell-shaped and symmetrical with a mean of $72 and a standard deviation of $24. What is the percentage of hotels with rates between $48 and $96? (Hint: Use the Empirical Rule.)
a. At least 75 b. At least 89 c. Approximately 68 d. Approximately 95