A simple random sample of size nequals=1111 is obtained from a population with muμequals=6767 and sigmaσequals=1616. (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 this condition is true, describe the sampling distribution of x overbarx. (b) Assuming the normal model can be used, determine P(x overbarxless than<71.171.1). (c) Assuming the normal model can be used, determine P(x overbarxgreater than or equals≥68.468.4). Question content area bottom Part 1 (a) What must be true regarding the distribution of the population? A.Since the sample size is large enough comma the population distribution does not need to be normal. Since the sample size is large enough comma the population distribution does notSince the sample size is large enough, the population distribution does not need to be normal.need to be normal. B. The sampling distribution must be assumed to be normal. C.The population must be normally distributed. nothing The population must be normally distributed.The population must be normally distributed. nothing Your answer is correct. D. The population must be normally distributed and the sample size must be large. Part 2 Assuming the normal model can be used, describe the sampling distribution x overbarx. Choose the correct answer below. A. NormalNormal, with mu Subscript x overbarμxequals=6767 and sigma Subscript x overbarσxequals=StartFraction 16 Over StartRoot 11 EndRoot EndFraction1611 Your answer is correct. B. NormalNormal, with mu Subscript x overbarμxequals=6767 and sigma Subscript x overbarσxequals=StartFraction 11 Over StartRoot 16 EndRoot EndFraction1116 C. NormalNormal, with mu Subscript x overbarμxequals=6767 and sigma Subscript x overbarσxequals=1616 Part 3 (b) P(x overbarxless than<71.171.1)equals=enter your response here (Round to four decimal places as needed.)

A simple random sample of size nequals=1111 is obtained from a population with muμequals=6767 and sigmaσequals=1616. (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 this condition is true, describe the sampling distribution of x overbarx. (b) Assuming the normal model can be used, determine P(x overbarxless than<71.171.1). (c) Assuming the normal model can be used, determine P(x overbarxgreater than or equals≥68.468.4). Question content area bottom Part 1 (a) What must be true regarding the distribution of the population? A.Since the sample size is large enough comma the population distribution does not need to be normal. Since the sample size is large enough comma the population distribution does notSince the sample size is large enough, the population distribution does not need to be normal.need to be normal. B. The sampling distribution must be assumed to be normal. C.The population must be normally distributed. nothing The population must be normally distributed.The population must be normally distributed. nothing Your answer is correct. D. The population must be normally distributed and the sample size must be large. Part 2 Assuming the normal model can be used, describe the sampling distribution x overbarx. Choose the correct answer below. A. NormalNormal, with mu Subscript x overbarμxequals=6767 and sigma Subscript x overbarσxequals=StartFraction 16 Over StartRoot 11 EndRoot EndFraction1611 Your answer is correct. B. NormalNormal, with mu Subscript x overbarμxequals=6767 and sigma Subscript x overbarσxequals=StartFraction 11 Over StartRoot 16 EndRoot EndFraction1116 C. NormalNormal, with mu Subscript x overbarμxequals=6767 and sigma Subscript x overbarσxequals=1616 Part 3 (b) P(x overbarxless than<71.171.1)equals=enter your response here (Round to four decimal places as needed.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Question content area bottom

Part 1

(a) What must be true regarding the distribution of the population?

A.Since the sample size is large enough comma the population distribution does not need to be normal.

Since the sample size is large enough comma the population distribution does notSince the sample size is large enough, the population distribution does not

need to be normal.need to be normal.

The sampling distribution must be assumed to be normal.

C.The population must be normally distributed. nothing

The population must be normally distributed.The population must be normally distributed.

nothing

Your answer is correct.

The population must be normally distributed and the sample size must be large.