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Lightbulbs of a certain type are advertised as having an average lifetime of 750 hours. The price of these bulbs is very favorable, so a potential customer has decided to go ahead with a purchase arrangement unless it can be conclusively demonstrated that the true average lifetime is smaller than what is advertised. A random sample of 43 bulbs was selected, the lifetime of each bulb determined, and the appropriate hypotheses were tested using MINITAB resulting in the accompanying output. Variable Mean StDev SEMean P-Value lifetime 43 738.44 38.86 5.93 -1.95 0.026 What conclusion would be appropriate for a significance level of 0.05? Do not reject the null hypothesis. There is not sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours. Reject the null hypothesis. There is sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours. Reject the null hypothesis. There is not sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours. Do not reject the null hypothesis. There is sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours. What conclusion would be appropriate for a significance level of 0.01? Do not reject the null hypothesis. There is not sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours. Do not reject the null hypothesis. There is sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours. Reject the null hypothesis. There is not sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours. Reject the null hypothesis. There is sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours. What significance level and conclusion would you recommend and why?

Lightbulbs of a certain type are advertised as having an average lifetime of 750 hours. The price of these bulbs is very favorable, so a potential customer has decided to go ahead with a purchase arrangement unless it can be conclusively demonstrated that the true average lifetime is smaller than what is advertised. A random sample of 43 bulbs was selected, the lifetime of each bulb determined, and the appropriate hypotheses were tested using MINITAB resulting in the accompanying output. Variable Mean StDev SEMean P-Value lifetime 43 738.44 38.86 5.93 -1.95 0.026 What conclusion would be appropriate for a significance level of 0.05? Do not reject the null hypothesis. There is not sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours. Reject the null hypothesis. There is sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours. Reject the null hypothesis. There is not sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours. Do not reject the null hypothesis. There is sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours. What conclusion would be appropriate for a significance level of 0.01? Do not reject the null hypothesis. There is not sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours. Do not reject the null hypothesis. There is sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours. Reject the null hypothesis. There is not sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours. Reject the null hypothesis. There is sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours. What significance level and conclusion would you recommend and why?

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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**Educational Website Content** --- Lightbulbs of a certain type are advertised as having an average lifetime of 750 hours. The price of these bulbs is very favorable, so a potential customer has decided to go ahead with a purchase arrangement unless it can be conclusively demonstrated that the true average lifetime is smaller than what is advertised. A random sample of 43 bulbs was selected, the lifetime of each bulb determined, and the appropriate hypotheses were tested using MINITAB, resulting in the accompanying output. ### Statistical Analysis Output - **Variable**: lifetime - **N (Sample Size)**: 43 - **Mean**: 738.44 hours - **StDev (Standard Deviation)**: 38.86 hours - **SEMean (Standard Error of the Mean)**: 5.93 - **Z (Z-Score)**: -1.95 - **P-Value**: 0.026 ### Hypothesis Testing #### Significance Level of 0.05 - **Conclusion Options**: 1. Do not reject the null hypothesis. There is not sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours. 2. Reject the null hypothesis. There is sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours. 3. Reject the null hypothesis. There is not sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours. 4. Do not reject the null hypothesis. There is sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours. #### Significance Level of 0.01 - **Conclusion Options**: 1. Do not reject the null hypothesis. There is not sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours. 2. Do not reject the null hypothesis. There is sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours. 3. Reject the null hypothesis. There is not sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours. 4. Reject the null hypothesis. There is sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours. --- ### Recommended Conclusion **What significance level and conclusion would you recommend and why?** *(Leave this section blank for the user to input their response)* --- In
Transcribed Image Text:**Educational Website Content** --- Lightbulbs of a certain type are advertised as having an average lifetime of 750 hours. The price of these bulbs is very favorable, so a potential customer has decided to go ahead with a purchase arrangement unless it can be conclusively demonstrated that the true average lifetime is smaller than what is advertised. A random sample of 43 bulbs was selected, the lifetime of each bulb determined, and the appropriate hypotheses were tested using MINITAB, resulting in the accompanying output. ### Statistical Analysis Output - **Variable**: lifetime - **N (Sample Size)**: 43 - **Mean**: 738.44 hours - **StDev (Standard Deviation)**: 38.86 hours - **SEMean (Standard Error of the Mean)**: 5.93 - **Z (Z-Score)**: -1.95 - **P-Value**: 0.026 ### Hypothesis Testing #### Significance Level of 0.05 - **Conclusion Options**: 1. Do not reject the null hypothesis. There is not sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours. 2. Reject the null hypothesis. There is sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours. 3. Reject the null hypothesis. There is not sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours. 4. Do not reject the null hypothesis. There is sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours. #### Significance Level of 0.01 - **Conclusion Options**: 1. Do not reject the null hypothesis. There is not sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours. 2. Do not reject the null hypothesis. There is sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours. 3. Reject the null hypothesis. There is not sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours. 4. Reject the null hypothesis. There is sufficient evidence to conclude that the lifetime of a bulb is less than 750 hours. --- ### Recommended Conclusion **What significance level and conclusion would you recommend and why?** *(Leave this section blank for the user to input their response)* --- In
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