# dolution

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 ĂŽÂĽ (the mean of the population) and should be very near to E(y), which is 4.5.

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Ă‚Â (c) Calculate s2 for the 300 digits. This should be close to the variance of y, ĂŹĆ’2 = 8.25

(d) Calculate yĂ‚ÂŻ 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 ĂŽÂĽ = 4.5. Calculate the mean and standard deviation of the 50 mean ##### "Looking for a Similar Assignment? Get Expert Help at an Amazing Discount!" 