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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

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

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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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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