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.
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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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.
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
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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