Simulating a sampling distribution. The next table contains 50 random samples of random digits, y = 0, 1, 2, 3,…, 9, where the probabilities corresponding to the values of y are given by the formula p(y) = 1 10 . Each sample contains n = 6 measurements.

(a) Use the 300 random digits to construct a relative frequency distribution for the data. This relative frequency distribution should approximate p(y).

(b) Calculate the mean of the 300 digits. This will give an accurate estimate of μ (the mean of the population) and should be very near to E(y), which is 4.5.

Save your time - order a paper!

Get your paper written from scratch within the tight deadline. Our service is a reliable solution to all your troubles. Place an order on any task and we will take care of it. You won’t have to worry about the quality and deadlines

Order Paper Now

 (c) Calculate s2 for the 300 digits. This should be close to the variance of y, σ2 = 8.25

(d) Calculate y¯ for each of the 50 samples. Construct a relative frequency distribution for the sample means to see how close they lie to the mean of μ = 4.5. Calculate the mean and standard deviation of the 50 mean

"Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!"