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on 51 / 1 pointIf you take a random sample of 64 BYU-Idaho students, what is the mean and standard deviation of the distribution of sample means of these GPA scores?
What 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.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{"version":"1.1","math":"\mu = 8544"} gallons and standard deviation σ=12{"version":"1.1","math":"\sigma = 12"} gallons.on 71 / 1 pointFind the z-score corresponding to a tank with a capacity of 8550 gallons. Round your answer to one decimal place. (Example: 0.3)Question 80 / 1 pointWhat 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)
Question 91 / 1 pointA 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)Question 101 / 1 pointA 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)