04 . Sam: x (G) The Study I Guidi × Mall cl www.we ?dep=1 6461 1 87 For the qu a

Question

04 . Sam: x (G) The Study I Guidi × Mall cl www.we ?dep=1 6461 1 87 For the qu a) The distribution of temperature in Laramie in January is N(47, 322)" . I) If a sample of 64 days in Laramie in January is taken, what will be the sampling distribution for the mean? l) If a sample of only 16 days in Laramie in January is taken, what will be the sampling distribution for the mean? o" if the distribution is not )o b) The distribution of the distance that a student travels to get to the school is highly right skewed with a mean of 0.4 miles, and a deviation of 0.6 miles. le of 144 students is taken, what wll be the sampling distribution for the mean? NC ) miles a) If a sample of 18 students is taken, what will be the sampling distribution for the mean? ) miles NC 21

Explanation / Answer

A)
Population mean = 47
population sigma = 32

i) For sample size n = 64
sample mean = 47
sample sigma = 32/sqrt(64) = 4

N(47, 4^2)

ii) For sample size n = 16
sample mean = 47
sample sigma = 32/sqrt(16) = 8

N(47, 8^2)

B)
Population mean = 0.4
population sigma = 0.6

i) For sample size n = 144
sample mean = 0.4
sample sigma = 0.6/sqrt(144) = 0.05

N(0.4, 0.05^2)

ii) For sample size n = 18
sample mean = 0.4
sample sigma = 0.6/sqrt(18) = 0.1414

N(0.4, 0.1414^2)

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