Suppose a simple random sample of size n= 10 is obtained from a population with u= 67 and o = 19. (a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities regarding the sample mean? Assuming the normal model can be used, describe the sampling distribution x. (b) Assuming the normal model can be used, determine P(x<71.1). (c) Assuming the normal model can be used, determine P(x2 68.5).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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Suppose a simple random sample of size n= 10 is obtained from a population with p= 67 and o = 19.
(a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities regarding the sample mean? Assuming the normal model can be used, describe the sampling distribution x.
(b) Assuming the normal model can be used, determine P(x <71.1).
(c) Assuming the normal model can be used, determine P(x2 68.5).
Transcribed Image Text:Suppose a simple random sample of size n= 10 is obtained from a population with p= 67 and o = 19. (a) What must be true regarding the distribution of the population in order to use the normal model to compute probabilities regarding the sample mean? Assuming the normal model can be used, describe the sampling distribution x. (b) Assuming the normal model can be used, determine P(x <71.1). (c) Assuming the normal model can be used, determine P(x2 68.5).
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