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4. The weights of bags of chips is normally distributed with µ = 10.2 ounces and σ = 0.12 ounces. Suppose a random sample of n = 40 bags is taken. a. In this case, is the sample mean X normally distributed? How do you know? What is the mean and standard deviation of x? b. Calculate the probability that the sample mean is less than 10.17 ounces. c. Would it be unusual for the sample mean to be greater than 10.25 ounces? How do you know?

4. The weights of bags of chips is normally distributed with µ = 10.2 ounces and σ = 0.12 ounces. Suppose a random sample of n = 40 bags is taken. a. In this case, is the sample mean X normally distributed? How do you know? What is the mean and standard deviation of x? b. Calculate the probability that the sample mean is less than 10.17 ounces. c. Would it be unusual for the sample mean to be greater than 10.25 ounces? How do you know?

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
Problem 1P
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**Problem 4: Analysis of Chip Bag Weights** The weights of bags of chips are normally distributed with a mean (μ) of 10.2 ounces and a standard deviation (σ) of 0.12 ounces. Suppose a random sample of n = 40 bags is taken. **a. Sample Mean Distribution** Is the sample mean, \( \bar{X} \), normally distributed? How do you know? What is the mean and standard deviation of \( \bar{X} \)? **b. Probability Calculation** Calculate the probability that the sample mean is less than 10.17 ounces. **c. Unusual Sample Mean Probability** Would it be unusual for the sample mean to be greater than 10.25 ounces? How do you know?
Transcribed Image Text:**Problem 4: Analysis of Chip Bag Weights** The weights of bags of chips are normally distributed with a mean (μ) of 10.2 ounces and a standard deviation (σ) of 0.12 ounces. Suppose a random sample of n = 40 bags is taken. **a. Sample Mean Distribution** Is the sample mean, \( \bar{X} \), normally distributed? How do you know? What is the mean and standard deviation of \( \bar{X} \)? **b. Probability Calculation** Calculate the probability that the sample mean is less than 10.17 ounces. **c. Unusual Sample Mean Probability** Would it be unusual for the sample mean to be greater than 10.25 ounces? How do you know?
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