Suppose a simple random sample of size n = 47 is obtained from a population with μ = 68 and o = 16. (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<71.5). (c) Assuming the normal model can be used, determine P(x ≥ 70.2). Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) What must be true regarding the distribution of the population? OA. The population must be normally distributed and the sample size must be large. OB. The population must be normally distributed. OC. There are no requirements on the shape of the distribution of the population. O D. Since the sample size is large enough, the population distribution does not need to be normal. Assuming the normal model can be used, describe the sampling distribution x. 16 QA. Approximately normal, with μ = 68 and o- = G
Suppose a simple random sample of size n = 47 is obtained from a population with μ = 68 and o = 16. (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<71.5). (c) Assuming the normal model can be used, determine P(x ≥ 70.2). Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) What must be true regarding the distribution of the population? OA. The population must be normally distributed and the sample size must be large. OB. The population must be normally distributed. OC. There are no requirements on the shape of the distribution of the population. O D. Since the sample size is large enough, the population distribution does not need to be normal. Assuming the normal model can be used, describe the sampling distribution x. 16 QA. Approximately normal, with μ = 68 and o- = G
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 13PPS
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Transcribed Image Text:Suppose
a simple random sample of size n = 47 is obtained from a population with µ = 68 and o = 16.
(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<71.5).
(c) Assuming the normal model can be used, determine P(x ≥ 70.2).
Click here to view the standard normal distribution table (page 1).
Click here to view the standard normal distribution table (page 2).
(a) What must be true regarding the distribution of the population?
A. The population must be normally distributed and the sample size must be large.
B. The population must be normally distributed.
C. There are no requirements on the shape of the distribution of the population.
D. Since the sample size is large enough, the population distribution does not
need to be normal.
Assuming the normal model can be used, describe the sampling distribution X.
O A. Approximately normal, with H
= 68 and o- =
16
47
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