A factory manufactures steel rods. The rods are supposed to have a mean length of 25 cm. If there is evidence at a 0.05 that the mean length for all rods is different from 25 cm the factory will be shut down and a costly maintenance procedure will ensue. If the mean length is different from 25 cm their customers will be unhappy and not use the company anymore. A random sample of 150 rods is taken. The lengths of those 150 rods are in the file rodsF20.xlsx 1. Make a frequency table and histogram for the data with the first class of (23, 23.5) 2. Run a hypothesis test that tests the claim that the mean length for all rods is different from 25cm. 3. State your conclusion in terms of the claim and whether you would recommend shutting down the factory. 4. State what a Type l error is in context. 5. What are the likely consequences of making a Type l error? 6. State what a Typel error is in context. 7. What are the likely consequences of making a Typel error? 8. Find and interpret a 95% confidence interval for the mean length of all rods. 9. Based on the C would you recommend shutting down the factory. Justify. 10. Compare your conclusions in 3 and 9. Remember the goal of any lab is that you learn by doing Save you file often and do not delete any datal

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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Complete 4-10! and thank you in advance!

Here's the Data:

Rod Length
25.42
25.89
25.21
24.32
24.70
24.15
24.49
23.29
24.13
25.71
24.65
23.20
24.80
25.95
23.47
25.80
24.24
25.23
25.16
25.22
24.59
24.53
24.70
24.81
24.40
23.45
25.28
24.03
24.34
25.13
26.08
25.74
23.71
24.18
25.11
26.29
25.61
25.47
24.36
24.59
24.24
24.94
25.94
24.13
26.12
25.16
24.83
23.47
24.96
25.34
26.00
25.19
25.61
24.66
24.48
24.64
25.97
24.40
24.55
24.13
24.83
25.60
24.63
26.00
23.56
24.56
24.38
25.12
24.90
25.83
25.44
24.98
24.81
25.09
24.25
24.00
25.90
25.46
24.30
25.22
23.32
24.58
25.60
24.71
25.85
23.22
25.82
24.98
24.95
24.23
24.69
24.44
24.05
25.12
25.21
24.98
24.21
25.89
25.23
24.89
24.91
25.76
25.61
24.84
24.83
24.16
25.70
24.56
24.84
24.25
25.45
24.15
25.00
25.23
26.00
25.22
24.06
24.94
24.79
25.04
25.74
24.91
25.66
24.57
26.73
23.22
25.85
24.29
24.68
25.29
25.71
24.63
24.43
25.96
25.52
24.71
24.36
25.11
24.45
25.87
24.72
24.23
24.74
25.59
25.45
24.39
25.46
24.07
25.39
25.50

To be submitted:
A factory manufactures steel rods. The rods are supposed to have a mean length of 25 cm. If there is
evidence at a = 0.05 that the mean length for all rods is different from 25 cm the factory will be shut
down and a costly maintenance procedure will ensue. If the mean length is different from 25 cm their
customers will be unhappy and not use the company anymore. A random sample of 150 rods is taken.
The lengths of those 150 rods are in the file rodsF20.xlsx.
1. Make a frequency table and histogram for the data with the first class of (23, 23.5)
2. Run a hypothesis test that tests the claim that the mean length for all rods is different from 25cm.
3. State your conclusion in terms of the claim and whether you would recommend shutting down the
factory.
4. State what a Type lerror is in context.
5. What are the likely consequences of making a Type l error?
6. State what a Type Il error is in context.
7. What are the likely consequences of making a Type Il error?
8. Find and interpret a 95% confidence interval for the mean length of all rods.
9. Based on the CI would you recommend shutting down the factory. Justify.
10. Compare your conclusions in 3 and 9.
Remember the goal of any lab is that you learn by doing!
Save you file often and do not delete any data!
Your lab report must include the frequency table, histogram and your hypothesis tests. For each test
be sure to state Ho and Ha, the test statistic and p-value, your decision about Ho and your conclusion
in terms of the claim.
Remember to copy and paste your tables and graphs into a document.
Carry work and answers to the thousandths place where applicable.

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