18. A simple random sample of size = 20 is obtained from a population with μ = 64 and a = 17. (a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities involving the sample mean? Assuming that thi condition is true, describe the sampling distribution of . (b) Assuming that the requirements described in part (a) are satisfied, determine P(x< 67.3).0.8078 (c) Assuming that the requirements described in part (a) are satisfied, determine P(x ≥ 65.2). 0.3745

MATLAB: An Introduction with Applications
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= 20 is obtained from a
18. A simple random sample of size
population with μ = 64 and a = 17.
(a) What must be true regarding the distribution of the
population in order to use the normal model to compute
probabilities involving the sample mean? Assuming that th
condition is true, describe the sampling distribution of i
(b) Assuming that the requirements described in part (a) are
satisfied, determine P(x< 67.3).0.8078
(c) Assuming that the requirements described in part (a) are
satisfied, determine P(x ≥ 65.2).0.3745
(d) Compare the results obtained in parts (b) and (c) with
the results obtained in parts (b) and (c) in Problem 17
What effect does increasing the sample size have on the
probabilities? Why do you think this is the case?
Transcribed Image Text:= 20 is obtained from a 18. A simple random sample of size population with μ = 64 and a = 17. (a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities involving the sample mean? Assuming that th condition is true, describe the sampling distribution of i (b) Assuming that the requirements described in part (a) are satisfied, determine P(x< 67.3).0.8078 (c) Assuming that the requirements described in part (a) are satisfied, determine P(x ≥ 65.2).0.3745 (d) Compare the results obtained in parts (b) and (c) with the results obtained in parts (b) and (c) in Problem 17 What effect does increasing the sample size have on the probabilities? Why do you think this is the case?
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