(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. (b) Assuming the normal model can be used, determine P(x<67.8). (c) Assuming the normal model can be used, determine P(x2 65.2). (a) What must be true regarding the distribution of the population? O A. The population must be normally distributed and the sample size must be large. O B. The population must be normally distributed. O C. Since the sample size is large enough, the population distribution does not need to be normal. O D. The sampling distribution must be assumed to be normal. Assuming the normal model can be used, describe the sampling distribution x. Choose the correct answer below. OA. Normal, with p- = 64 and o- = 18 13 O B. Normal, with p = 64 and o- 18 18 OC. Normal, with p = 64 and o- = V13 (b) P(x< 67.8) = (Round to four decimal places as needed.) (c) P(x2 65.2) = (Round to four decimal places as needed.)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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A simple random sample of size n= 13 is obtained from a population with u = 64 and o = 18.
(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.
(b) Assuming the normal model can be used, determine P(x < 67.8).
(c) Assuming the normal model can be used, determine P(x2 65.2).
(a) What must be true regarding the distribution of the population?
O A. The population must be normally distributed and the sample size must be large.
O B. The population must be normally distributed.
O C. Since the sample size is large enough, the population distribution does not need to be normal.
O D. The sampling distribution must be assumed to be normal.
Assuming the normal model can be used, describe the sampling distribution x. Choose the correct answer below.
O A.
Normal, with p- = 64 and o- = 18
13
O B. Normal, with p- = 64 and o- =
V18
18
O C. Normal, with u- = 64 and o- =-
V13
(b) P(x< 67.8) = |
(Round to four decimal places as needed.)
(c) P(x2 65.2) = (Round to
ecimal places as
ded.)
Transcribed Image Text:A simple random sample of size n= 13 is obtained from a population with u = 64 and o = 18. (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. (b) Assuming the normal model can be used, determine P(x < 67.8). (c) Assuming the normal model can be used, determine P(x2 65.2). (a) What must be true regarding the distribution of the population? O A. The population must be normally distributed and the sample size must be large. O B. The population must be normally distributed. O C. Since the sample size is large enough, the population distribution does not need to be normal. O D. The sampling distribution must be assumed to be normal. Assuming the normal model can be used, describe the sampling distribution x. Choose the correct answer below. O A. Normal, with p- = 64 and o- = 18 13 O B. Normal, with p- = 64 and o- = V18 18 O C. Normal, with u- = 64 and o- =- V13 (b) P(x< 67.8) = | (Round to four decimal places as needed.) (c) P(x2 65.2) = (Round to ecimal places as ded.)
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