Suppose that a random sample of size 64 is to be selected from a population with

Question

Suppose that a random sample of size 64 is to be selected from a population with mean 40 and standard deviation 5.

(a) What are the mean and standard deviation of the sampling distribution? (Round the answer to three decimal places.)
x =
x =

(b) What is the approximate probability that x will be within 0.4 of the population mean ? (Round the answer to four decimal places.)
P =

(c) What is the approximate probability that x will differ from by more than 0.7? (Round the answer to four decimal places.)
P =

Explanation / Answer

c) P(|x-mu|>0.7)= P(|Z|>0.44)=0.6600

a)n 64 mu 40 sigma 5 Std error sigma x Std dev/rtn 0.625 Mean sample mux mu 40 b) P(|x-mu|<4) P(|z|<0.4/0.625) P(|Z|< 0.64 0.4778

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