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A manufacturer of metal plates makes two claims concerning the thickness of the plates they produce. The manufacturer claims that • Statement A: The mean is 200mm • Statement B: The variance is 1.5mm2. To investigate Statement A, the thickness of a sample of metal plates produced in a given shift was measured. The values found are listed in Part (a) of worksheet 'Dataset2', with millimetres (mm) as unit. 1. Calculate the sample mean and sample standard deviation for the data in Part (a) of 'Dataset2'. 2. Set up the framework of an appropriate statistical test on State- ment A. Explain how knowing the sample mean before carrying out the test will influence the structure of your test. 3. Carry out the statistical test and state your conclusions.

A manufacturer of metal plates makes two claims concerning the thickness of the plates they produce. The manufacturer claims that • Statement A: The mean is 200mm • Statement B: The variance is 1.5mm2. To investigate Statement A, the thickness of a sample of metal plates produced in a given shift was measured. The values found are listed in Part (a) of worksheet 'Dataset2', with millimetres (mm) as unit. 1. Calculate the sample mean and sample standard deviation for the data in Part (a) of 'Dataset2'. 2. Set up the framework of an appropriate statistical test on State- ment A. Explain how knowing the sample mean before carrying out the test will influence the structure of your test. 3. Carry out the statistical test and state your conclusions.

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
Section: Chapter Questions
Problem 22SGR
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Hello, I'm having trouble with the following question, it would be greatly appreciated if you could please go through all of the parts. Thank you very much.

Dataset 2 Part (a) 194.66 195.12 199.71 202.78 200.90 202.17 204.04 195.43 195.94 200.75 201.61 204.22 196.26 196.84 195.00 200.29 200.66 201.12 203.59 193.76 201.58 201.36 201.94 201.88 202.34 193.29 196.67 200.37 200.65 202.33 194.57 197.52 199.32 201.17 200.28 200.12 204.30 203.08 202.90 193.65 198.47 204.08 Part (b) 193.72 199.42 201.50 201.03 198.71 202.74 200.53 205.20 205.55 205.35 194.53 204.99 200.42 202.50 202.03 206.55 206.35 195.53
Transcribed Image Text:Dataset 2 Part (a) 194.66 195.12 199.71 202.78 200.90 202.17 204.04 195.43 195.94 200.75 201.61 204.22 196.26 196.84 195.00 200.29 200.66 201.12 203.59 193.76 201.58 201.36 201.94 201.88 202.34 193.29 196.67 200.37 200.65 202.33 194.57 197.52 199.32 201.17 200.28 200.12 204.30 203.08 202.90 193.65 198.47 204.08 Part (b) 193.72 199.42 201.50 201.03 198.71 202.74 200.53 205.20 205.55 205.35 194.53 204.99 200.42 202.50 202.03 206.55 206.35 195.53
A manufacturer of metal plates makes two claims concerning the thickness of the plates they produce. The manufacturer claims that • Statement A: The mean is 200Omm • Statement B: The variance is 1.5mm. To investigate Statement A, the thickness of a sample of metal plates produced in a given shift was measured. The values found are listed in Part (a) of worksheet Dataset2', with millimetres (mm) as unit. 1. Calculate the sample mean and sample standard deviation for the data in Part (a) of Dataset2". 2. Set up the framework of an appropriate statistical test on State- ment A. Explain how knowing the sample mean before carrying out the test will influence the structure of your test. 3. Carry out the statistical test and state your conclusions. To investigate the second claim, the thickness of a second sample of metal sheets was measured. The values found are listed in Part (b) of worksheet Dataset2', with millimetres (mm) as unit. 1. Calculate the sample mean and then the sample variance and standard deviation for the data in Part (b). 2. Set up the framework of an appropriate statistical test on State- ment B. Explain how knowing the sample variance before carry- ing out the test would influence the structure of your test. Page 3 3. Carry out the statistical test and state your conclusions.
Transcribed Image Text:A manufacturer of metal plates makes two claims concerning the thickness of the plates they produce. The manufacturer claims that • Statement A: The mean is 200Omm • Statement B: The variance is 1.5mm. To investigate Statement A, the thickness of a sample of metal plates produced in a given shift was measured. The values found are listed in Part (a) of worksheet Dataset2', with millimetres (mm) as unit. 1. Calculate the sample mean and sample standard deviation for the data in Part (a) of Dataset2". 2. Set up the framework of an appropriate statistical test on State- ment A. Explain how knowing the sample mean before carrying out the test will influence the structure of your test. 3. Carry out the statistical test and state your conclusions. To investigate the second claim, the thickness of a second sample of metal sheets was measured. The values found are listed in Part (b) of worksheet Dataset2', with millimetres (mm) as unit. 1. Calculate the sample mean and then the sample variance and standard deviation for the data in Part (b). 2. Set up the framework of an appropriate statistical test on State- ment B. Explain how knowing the sample variance before carry- ing out the test would influence the structure of your test. Page 3 3. Carry out the statistical test and state your conclusions.
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