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Inexpensive bathroom scales are not consistently accurate. A manufacturer of bathroom 150-pound weight is placed on all the scales produced in his factory, the weight indicated. distributed with a mean of 150 pounds and a standard deviation of 2 pounds. A consume acquires a randomly selected group of 12 scales from the manufacturer and weighs a 150 They get a mean weight of 151 pounds, which makes them suspicious about the company they use a computer to simulate 200 samples of 12 scales from a Normal population with and standard deviation 2 pounds. Below is a dotplot of the means from these 200 sample

Inexpensive bathroom scales are not consistently accurate. A manufacturer of bathroom 150-pound weight is placed on all the scales produced in his factory, the weight indicated. distributed with a mean of 150 pounds and a standard deviation of 2 pounds. A consume acquires a randomly selected group of 12 scales from the manufacturer and weighs a 150 They get a mean weight of 151 pounds, which makes them suspicious about the company they use a computer to simulate 200 samples of 12 scales from a Normal population with and standard deviation 2 pounds. Below is a dotplot of the means from these 200 sample

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Inexpensive bathroom scales are not consistently accurate. A manufacturer of bathroom scales says that when a 150-pound weight is placed on all the scales produced in his factory, the weight indicated by the scales is Normally distributed with a mean of 150 pounds and a standard deviation of 2 pounds. A consumer advocacy group acquires a randomly selected group of 12 scales from the manufacturer and weighs a 150 weight on each one. They get a mean weight of 151 pounds, which makes them suspicious about the company's claim. To test this, they use a computer to simulate 200 samples of 12 scales from a Normal population with a mean of 150 pounds and standard deviation 2 pounds. Below is a dotplot of the means from these 200 samples. 148.0 148.5 149.0 149.5 150.0 150.5 151.0 151.5 Mean weight (pounds) (a) What is the population in this situation, and what population parameters have we been given? (b) The distribution of one sample is described in the opening paragraph. What information have we been given about this sample? (c) Is the dotplot above a sampling distribution? Explain. (d) Do you think the manufacturer is being honest about the accuracy of its bathroom scales? Justify your answer.
Transcribed Image Text:Inexpensive bathroom scales are not consistently accurate. A manufacturer of bathroom scales says that when a 150-pound weight is placed on all the scales produced in his factory, the weight indicated by the scales is Normally distributed with a mean of 150 pounds and a standard deviation of 2 pounds. A consumer advocacy group acquires a randomly selected group of 12 scales from the manufacturer and weighs a 150 weight on each one. They get a mean weight of 151 pounds, which makes them suspicious about the company's claim. To test this, they use a computer to simulate 200 samples of 12 scales from a Normal population with a mean of 150 pounds and standard deviation 2 pounds. Below is a dotplot of the means from these 200 samples. 148.0 148.5 149.0 149.5 150.0 150.5 151.0 151.5 Mean weight (pounds) (a) What is the population in this situation, and what population parameters have we been given? (b) The distribution of one sample is described in the opening paragraph. What information have we been given about this sample? (c) Is the dotplot above a sampling distribution? Explain. (d) Do you think the manufacturer is being honest about the accuracy of its bathroom scales? Justify your answer.
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