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The number of times a toggle switch made by the Acme company can be switched between the on and off position before failure is believed to be normally distributed. Until now, it was always assumed that the mean number of toggles before failure was 1750. The quality lab at Acme contemplates buying a new machine for making the switches because it wants to have the switches last longer before failing. Acme has the option of using the new machine for two weeks (without an obligation to buy) before committing to it --they will have to pay considerable money to buy the machine and only want to do so if they are convinced it is better. They plan to take a sample of switches using the new machine while it is on trial and compute its mean and standard deviation for computing a test statistic. The correct hypotheses for this test, given the above would be:

The number of times a toggle switch made by the Acme company can be switched between the on and off position before failure is believed to be normally distributed. Until now, it was always assumed that the mean number of toggles before failure was 1750. The quality lab at Acme contemplates buying a new machine for making the switches because it wants to have the switches last longer before failing. Acme has the option of using the new machine for two weeks (without an obligation to buy) before committing to it --they will have to pay considerable money to buy the machine and only want to do so if they are convinced it is better. They plan to take a sample of switches using the new machine while it is on trial and compute its mean and standard deviation for computing a test statistic. The correct hypotheses for this test, given the above would be:

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
Section10.4: Distributions Of Data
Problem 19PFA
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Continuing with the Acme company's toggle switch test, with the same information and hypothesese as mentioned above.  

They sample 16 randomly selected switches, and turn them on and off repeatedly until failure occurs.  The mean number of toggles before failure for this experiment ends up being 1765 with a standard deviation of 12.  

Assume all assumptions for running the hypothesis test are met.

Find the value of the test statistic for this test.

The number of times a toggle switch made by the Acme company can be switched between the on and off position before failure is believed to be normally distributed. Until now, it was always assumed that the mean number of toggles before failure was 1750. The quality lab at Acme contemplates buying a new machine for making the switches because it wants to have the switches last longer before failing. Acme has the option of using the new machine for two weeks (without an obligation to buy) before committing to it --they will have to pay considerable money to buy the machine and only want to do so if they are convinced it is better. They plan to take a sample of switches using the new machine while it is on trial and compute its mean and standard deviation for computing a test statistic. The correct hypotheses for this test, given the above would be: A: Ho:x=1750 H.:x>1750 vs. В: Но:х31750 vs. H.:x<1750 С: Но:и%31750 vs. H.:u>1750 D: Ho:и%3D1750 H,:u<1750 vs. E: H,:u=1750 vs. H.:u+1750
Transcribed Image Text:The number of times a toggle switch made by the Acme company can be switched between the on and off position before failure is believed to be normally distributed. Until now, it was always assumed that the mean number of toggles before failure was 1750. The quality lab at Acme contemplates buying a new machine for making the switches because it wants to have the switches last longer before failing. Acme has the option of using the new machine for two weeks (without an obligation to buy) before committing to it --they will have to pay considerable money to buy the machine and only want to do so if they are convinced it is better. They plan to take a sample of switches using the new machine while it is on trial and compute its mean and standard deviation for computing a test statistic. The correct hypotheses for this test, given the above would be: A: Ho:x=1750 H.:x>1750 vs. В: Но:х31750 vs. H.:x<1750 С: Но:и%31750 vs. H.:u>1750 D: Ho:и%3D1750 H,:u<1750 vs. E: H,:u=1750 vs. H.:u+1750
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