Question 51 / 1 ptsIf you take a random sample of 64 BYU-Idaho students, what is the mean andstandard deviation of the distribution of sample means of these GPA scores?Mean = 3.7, standard deviation = 0.9

Mean = 0.463, standard deviation = 0.9Correct!Mean = 3.7, standard deviation = 0.113Mean = 0.463, standard deviation = 0.113Question 61 / 1 ptsWhat is the probability that the mean GPA for 64 randomly selected BYU-Idaho students will be less than 3.5? Round your answer to three decimal places.Correct!Correct Answers0.038 (with margin: 0.003)Use the following information to answer the next 4 questions.Tanker trucks are designed to carry huge quantities of gasoline from refineries to filling stations. A factory that manufactures the tank of the trucks claims to manufacture tanks with a capacity of 8550 gallons of gasoline. The actual capacity of the tanks is normally distributed with mean μ=8544 gallons and standard deviation σ=12 gallons.Question 71 / 1 ptsFind the z-score corresponding to a tank with a capacity of 8550 gallons. Round your answer to one decimal place. (Example: 0.3)Correct!Correct Answers0.5 (with margin: 0.0)Question 81 / 1 ptsWhat is the probability that a randomly selected tank will have a capacity of less than 8550 gallons? Round your answer to three decimal places. (Example: 0.398)Correct!Correct Answers0.692 (with margin: 0.003)

Question 91 / 1 ptsA simple random sample of n = 20 tanks will be selected. Find the z-score corresponding to a sample mean capacity for 20 tanks of 8550. Round your answer to three decimal places. (Example: 0.398)Correct!Correct Answers2.236 (with margin: 0.003)Question 101 / 1 ptsA simple random sample of n = 50 tanks will be selected. What is the probability that the mean capacity for these 50 tanks will be greater than 8540 gallons? Round your answer to three decimal places. (Example: 0.398)Correct!Correct Answers0.991 (with margin: 0.003)