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Managers at an automobile manufacturing plant would like to examine the mean completion time, μ, of an assembly line operation. The past data indicate that the mean completion time is 43 minutes, but the managers have good reason to believe that this value has increased. The managers plan to perform a statistical test. After choosing a random sample of assembly line completion times, the managers compute the sample mean completion time to be 47 minutes. The standard deviation of the population of completion times can be assumed not to have changed from the previously reported value of 3 minutes. Based on this information, complete the parts below.

Managers at an automobile manufacturing plant would like to examine the mean completion time, μ, of an assembly line operation. The past data indicate that the mean completion time is 43 minutes, but the managers have good reason to believe that this value has increased. The managers plan to perform a statistical test. After choosing a random sample of assembly line completion times, the managers compute the sample mean completion time to be 47 minutes. The standard deviation of the population of completion times can be assumed not to have changed from the previously reported value of 3 minutes. Based on this information, complete the parts below.

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
Section10.3: Measures Of Spread
Problem 1GP
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Managers at an automobile manufacturing plant would like to examine the mean completion time, μ, of an assembly line operation. The past data indicate that the mean completion time is 43 minutes, but the managers have good reason to believe that this value has increased. The managers plan to perform a statistical test. After choosing a random sample of assembly line completion times, the managers compute the sample mean completion time to be 47 minutes. The standard deviation of the population of completion times can be assumed not to have changed from the previously reported value of 3 minutes. Based on this information, complete the parts below. (a) What are the null hypothesis Ho and the alternative hypothesis H₁ that should be used for the test? H₂:0 H₁ :0 (b) Suppose that the managers decide to reject the null hypothesis. What sort of error might they be making? (Choose one) ▼ (c) Suppose the true mean completion time for the assembly line operation is 49 minutes. Fill in the blanks to describe a Type II error. the hypothesis that μ is (Choose one) A Type II error would be (Choose one) when, in fact, u is (Choose one) (Choose one) μ X 0<0 050 00 020 0=0 0#0 X for S Submit Assic
Transcribed Image Text:Managers at an automobile manufacturing plant would like to examine the mean completion time, μ, of an assembly line operation. The past data indicate that the mean completion time is 43 minutes, but the managers have good reason to believe that this value has increased. The managers plan to perform a statistical test. After choosing a random sample of assembly line completion times, the managers compute the sample mean completion time to be 47 minutes. The standard deviation of the population of completion times can be assumed not to have changed from the previously reported value of 3 minutes. Based on this information, complete the parts below. (a) What are the null hypothesis Ho and the alternative hypothesis H₁ that should be used for the test? H₂:0 H₁ :0 (b) Suppose that the managers decide to reject the null hypothesis. What sort of error might they be making? (Choose one) ▼ (c) Suppose the true mean completion time for the assembly line operation is 49 minutes. Fill in the blanks to describe a Type II error. the hypothesis that μ is (Choose one) A Type II error would be (Choose one) when, in fact, u is (Choose one) (Choose one) μ X 0<0 050 00 020 0=0 0#0 X for S Submit Assic
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