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(A) Find the mean and standard deviation of the sampling distribution of p. Describe the shape of the sampling distribution. (B) What is the probability that the sample proportion would be between 0.4 and 1.0? (C) What is the probability that less than 135 out of 300 households would prefer the new toothpaste package?

(A) Find the mean and standard deviation of the sampling distribution of p. Describe the shape of the sampling distribution. (B) What is the probability that the sample proportion would be between 0.4 and 1.0? (C) What is the probability that less than 135 out of 300 households would prefer the new toothpaste package?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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1. Marketing research indicated that 40% of the households in a town preferred certain new toothpaste package. To conduct a further study, a random sample of 300 households would be collected. Let p denote the sample proportion of 300 households that would prefer the new toothpaste package. (A) Find the mean and standard deviation of the sampling distribution of p. Describe the shape of the sampling distribution. (B) What is the probability that the sample proportion would be between 0.4 and 1.0? (C) What is the probability that less than 135 out of 300 households would prefer the new toothpaste package? (D) How would the mean and standard deviation of the sampling distribution change respectively if a random sample of 500 households would be selected instead?
Transcribed Image Text:1. Marketing research indicated that 40% of the households in a town preferred certain new toothpaste package. To conduct a further study, a random sample of 300 households would be collected. Let p denote the sample proportion of 300 households that would prefer the new toothpaste package. (A) Find the mean and standard deviation of the sampling distribution of p. Describe the shape of the sampling distribution. (B) What is the probability that the sample proportion would be between 0.4 and 1.0? (C) What is the probability that less than 135 out of 300 households would prefer the new toothpaste package? (D) How would the mean and standard deviation of the sampling distribution change respectively if a random sample of 500 households would be selected instead?
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