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Question#: 13 Question: The mean weight for crates of apples are normally distributed with a mean weight of 34.6 pounds and a

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Answer 13

mean, mu= 34.6 pounds

standard deviation, sigma= 2.8 pounds

sample size, n= 75

P(31 < mean weight < 35)= P(mean weight < 35) - P(mean weight < 31)

= P(Z < (35-34.6)/2.8/sqrt(75)) - P(Z < (31-34.6)/2.8/sqrt(75))

= P(Z < (0.4)/0.32331615074) - P(Z < (-3.6)/0.32331615074)

= P(Z < 1.23717914829) - P(Z < -11.1346123346)

= 0.8925 - 0

= 0.8925

Thus, the correct answer is option a.

Answer 14

mean, mu= 34.6 pounds

standard deviation, sigma= 2.8 pounds

sample size, n= 40

P(mean weight < 33.5)= P(Z < (33.5-34.6)/2.8/sqrt(40))

= P(Z < (-1.1)/0.44271887242)

= P(Z < -2.48464673301)

= 0.0066

Thus, the correct answer is option b.

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