1. -13 points 0/3 Submissions Used My Notes In the past, the Mars candy company

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1. -13 points 0/3 Submissions Used My Notes In the past, the Mars candy company has claimed that the color mix for Peanut M & Ms contains 15% Green. A large statistics lecture class is examining bags containing 120 peanut M & Ms each. (a) The mean and standard error of this sampling distribution are: Mean (2 decimal places) Standard Error- (3 decimal places) (b) What do you expect for the shape of this sampling distribution? Why? Cannot be determined because the values of np and n(1-p) are too small Approximately normal because n > 30. Approximately normal because the population is normal Approximately normal because both np and n(1-p) are at least 15 Submit Answer Save Progress

Explanation / Answer

a) Mean = n * p = 120 * 0.15 = 18.00

Standard error = sqrt(n * p * (1 - p))

                         = sqrt(120 * 0.15 * 0.85)

                         = 3.912

b) n * p = 120 * 0.15 = 18

n(1 - p) = 120 * 0.85 = 102

Shape of the sampling distribution is approximately normal because the sample size n is larger and both np and n(1 - p) is greater than 5.

Option - B and Option - D

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