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It currently takes users a mean of 15 minutes to install the most popular computer program made by RodeTech, a software design company. After changes have been made to the program the company executives want to know if the new mean is now different from 15 minutes so that they can change their advertising accordingly. A simple random sample of 20 new customers are asked to time how long it takes for them to install the software. The sample mean is 14.1 minutes with a standard deviation of 1.9 minutes. Perform a hypothesis test at the 0.05 level of significance to see if the mean installation time has changed. Ho: μ = 15 15 Ha: μ t = 14.1-15 1.9 -2.118 Test Statistic Critical Value: invT(.025, df 20-1= 19): +/- 2.093 p-value: 0.0475 (on calculator) p-value 0.0475 <0.05 Reject the Null Conclusion: At the 0.05 level of significance the evidence collected supports the claim that the mean installation time is no longer 15 minutes. The company may need to change its advertising (i.e. there is sufficient evidence). Hypothesis Testing Review - Error Analysis CNN/Money reports that the mean cost of a speeding ticket, including court fees, was $150.00 in 2002. A local police department claims that this amount has increased. To test their claim, they collect data from a simple random sample of 160 drivers who have been fined for speeding in the last year, and find that they paid a mean of $154.00 per ticket. Assuming that the population standard deviation is $17.54, is there sufficient evidence to support the police department's claim at the 0.01 level of significance? Η.: με 5 150.00 Ha: 150.00 (Right-Tailed Test) t = 1-1 t = 154-150 (17.54) √160. 2.88 Test Statistic Critical Value: invT(.01, 159): 2.35 p-value: .0022 You can find this on the calculator .0020 <0.01 Reject the Null Conclusion: At the 0.01 level of significance the evidence supports the police department's claim that the mean cost of a speeding ticked has increased (i.e. there is sufficient evidence).

It currently takes users a mean of 15 minutes to install the most popular computer program made by RodeTech, a software design company. After changes have been made to the program the company executives want to know if the new mean is now different from 15 minutes so that they can change their advertising accordingly. A simple random sample of 20 new customers are asked to time how long it takes for them to install the software. The sample mean is 14.1 minutes with a standard deviation of 1.9 minutes. Perform a hypothesis test at the 0.05 level of significance to see if the mean installation time has changed. Ho: μ = 15 15 Ha: μ t = 14.1-15 1.9 -2.118 Test Statistic Critical Value: invT(.025, df 20-1= 19): +/- 2.093 p-value: 0.0475 (on calculator) p-value 0.0475 <0.05 Reject the Null Conclusion: At the 0.05 level of significance the evidence collected supports the claim that the mean installation time is no longer 15 minutes. The company may need to change its advertising (i.e. there is sufficient evidence). Hypothesis Testing Review - Error Analysis CNN/Money reports that the mean cost of a speeding ticket, including court fees, was $150.00 in 2002. A local police department claims that this amount has increased. To test their claim, they collect data from a simple random sample of 160 drivers who have been fined for speeding in the last year, and find that they paid a mean of $154.00 per ticket. Assuming that the population standard deviation is $17.54, is there sufficient evidence to support the police department's claim at the 0.01 level of significance? Η.: με 5 150.00 Ha: 150.00 (Right-Tailed Test) t = 1-1 t = 154-150 (17.54) √160. 2.88 Test Statistic Critical Value: invT(.01, 159): 2.35 p-value: .0022 You can find this on the calculator .0020 <0.01 Reject the Null Conclusion: At the 0.01 level of significance the evidence supports the police department's claim that the mean cost of a speeding ticked has increased (i.e. there is sufficient evidence).

MATLAB: An Introduction with Applications
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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Hypothesis Testing Review - Error Analysis
It currently takes users a mean of 15 minutes to install the most popular computer program made by RodeTech, a software design company. After changes have been made to the program the company executives want to know if the new mean is now different from 15 minutes so that they can change their advertising accordingly. A simple random sample of 20 new customers are asked to time how long it takes for them to install the software. The sample mean is 14.1 minutes with a standard deviation of 1.9 minutes. Perform a hypothesis test at the 0.05 level of significance to see if the mean installation time has changed. Ho: μ = 15 15 Ha: μ t = 14.1-15 1.9 -2.118 Test Statistic Critical Value: invT(.025, df 20-1= 19): +/- 2.093 p-value: 0.0475 (on calculator) p-value 0.0475 <0.05 Reject the Null Conclusion: At the 0.05 level of significance the evidence collected supports the claim that the mean installation time is no longer 15 minutes. The company may need to change its advertising (i.e. there is sufficient evidence).
Transcribed Image Text:It currently takes users a mean of 15 minutes to install the most popular computer program made by RodeTech, a software design company. After changes have been made to the program the company executives want to know if the new mean is now different from 15 minutes so that they can change their advertising accordingly. A simple random sample of 20 new customers are asked to time how long it takes for them to install the software. The sample mean is 14.1 minutes with a standard deviation of 1.9 minutes. Perform a hypothesis test at the 0.05 level of significance to see if the mean installation time has changed. Ho: μ = 15 15 Ha: μ t = 14.1-15 1.9 -2.118 Test Statistic Critical Value: invT(.025, df 20-1= 19): +/- 2.093 p-value: 0.0475 (on calculator) p-value 0.0475 <0.05 Reject the Null Conclusion: At the 0.05 level of significance the evidence collected supports the claim that the mean installation time is no longer 15 minutes. The company may need to change its advertising (i.e. there is sufficient evidence).
Hypothesis Testing Review - Error Analysis CNN/Money reports that the mean cost of a speeding ticket, including court fees, was $150.00 in 2002. A local police department claims that this amount has increased. To test their claim, they collect data from a simple random sample of 160 drivers who have been fined for speeding in the last year, and find that they paid a mean of $154.00 per ticket. Assuming that the population standard deviation is $17.54, is there sufficient evidence to support the police department's claim at the 0.01 level of significance? Η.: με 5 150.00 Ha: 150.00 (Right-Tailed Test) t = 1-1 t = 154-150 (17.54) √160. 2.88 Test Statistic Critical Value: invT(.01, 159): 2.35 p-value: .0022 You can find this on the calculator .0020 <0.01 Reject the Null Conclusion: At the 0.01 level of significance the evidence supports the police department's claim that the mean cost of a speeding ticked has increased (i.e. there is sufficient evidence).
Transcribed Image Text:Hypothesis Testing Review - Error Analysis CNN/Money reports that the mean cost of a speeding ticket, including court fees, was $150.00 in 2002. A local police department claims that this amount has increased. To test their claim, they collect data from a simple random sample of 160 drivers who have been fined for speeding in the last year, and find that they paid a mean of $154.00 per ticket. Assuming that the population standard deviation is $17.54, is there sufficient evidence to support the police department's claim at the 0.01 level of significance? Η.: με 5 150.00 Ha: 150.00 (Right-Tailed Test) t = 1-1 t = 154-150 (17.54) √160. 2.88 Test Statistic Critical Value: invT(.01, 159): 2.35 p-value: .0022 You can find this on the calculator .0020 <0.01 Reject the Null Conclusion: At the 0.01 level of significance the evidence supports the police department's claim that the mean cost of a speeding ticked has increased (i.e. there is sufficient evidence).
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