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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 concdlusion 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 l error is in context. 7. What are the likely consequences of making a Type Il eror? 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.

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 concdlusion 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 l error is in context. 7. What are the likely consequences of making a Type Il eror? 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.

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
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Question 4-10! and thak 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.
Transcribed Image Text: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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