Simulating a sampling distribution. The next table (p. 41) contains 50 random samples of random digits, , y=0 y=0, 1, 2, 3, . . . , 9 where the probabilities corresponding to the values of y are given...

Simulating a sampling distribution. The next table (p. 41) contains 50 random samples of random digits, , y=0 y=0, 1, 2, 3, . . . , 9 where the probabilities corresponding to the values of y are given by the formula p(y) =110 . Each sample contains 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.

c. Calculate s for the 300 digits. This should be close to the variance of y, .

 d. Calculate 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 Calculate the mean and standard deviation of the 50 means.