7.80 Testing for Content Accuracy. A brand of water-softener salt comes in packages marked "net weight 40 lb." The company that packages the salt claims that the bags contain an average of 40 lb of salt and that the standard deviation of the weights is 1.5 lb. Assume that the weights are normally distributed. a. Obtain the probability that the weight of one randomly selected bag of water-softener salt will be 39 lb or less, if the company's claim is true. b. Determine the probability that the mean weight of 10 randomly selected bags of water-softener salt will be 39 lb or less, if the company's claim is true. c. If you bought one bag of water-softener salt and it weighed 39 lb.
7.80 Testing for Content Accuracy. A brand of water-softener salt comes in packages marked "net weight 40 lb." The company that packages the salt claims that the bags contain an average of 40 lb of salt and that the standard deviation of the weights is 1.5 lb. Assume that the weights are normally distributed. a. Obtain the probability that the weight of one randomly selected bag of water-softener salt will be 39 lb or less, if the company's claim is true. b. Determine the probability that the mean weight of 10 randomly selected bags of water-softener salt will be 39 lb or less, if the company's claim is true. c. If you bought one bag of water-softener salt and it weighed 39 lb.
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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Transcribed Image Text:7.80 Testing for Content Accuracy. A brand of water-softener salt
comes in packages marked "net weight 40 lb." The company that
packages the salt claims that the bags contain an average of 40 lb of
salt and that the standard deviation of the weights is 1.5 lb. Assume
that the weights are normally distributed.
a. Obtain the probability that the weight of one randomly selected
bag of water-softener salt will be 39 lb or less, if the company's
claim is true.
b. Determine the probability that the mean weight of 10 randomly
selected bags of water-softener salt will be 39 lb or less, if the
company's claim is true.
c. If you bought one bag of water-softener salt and it weighed 39 lb,
would you consider this evidence that the company's claim is
incorrect? Explain your answer.
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