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A study was made to compare the lifetime of light bulbs of the two leading electrical firms, A and B. In order to compare, nine light bulbs were randomly selected from each of the firms. Based on the sample, Firm A has an average lifetime of 671.67 hours with a standard deviation of 44.72 while Firm B has an average lifetime of 648.89 hours with a standard deviation of 72.53. Assume that the length of life of the light bulbs have an approximately normal distribution. Suppose we want to know if there is sufficient evidence to conclude that Firm A manufactures light bulbs that lasts longer than Firm B at 10% level of significance. Provide the test statistic value, critical value, and conclusion in the box below.

A study was made to compare the lifetime of light bulbs of the two leading electrical firms, A and B. In order to compare, nine light bulbs were randomly selected from each of the firms. Based on the sample, Firm A has an average lifetime of 671.67 hours with a standard deviation of 44.72 while Firm B has an average lifetime of 648.89 hours with a standard deviation of 72.53. Assume that the length of life of the light bulbs have an approximately normal distribution. Suppose we want to know if there is sufficient evidence to conclude that Firm A manufactures light bulbs that lasts longer than Firm B at 10% level of significance. Provide the test statistic value, critical value, and conclusion in the box 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
Section10.4: Distributions Of Data
Problem 19PFA
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A study was made to compare the lifetime of light bulbs of the two leading electrical firms, A and B. In order to compare, nine light bulbs were randomly selected from each of the firms. Based on the sample, Firm A has an average lifetime of 671.67 hours with a standard deviation of 44.72 while Firm B has an average lifetime of 648.89 hours with a standard deviation of 72.53. Assume that the length of life of the light bulbs have an approximately normal distribution. Suppose we want to know if there is sufficient evidence to conclude that Firm A manufactures light bulbs that lasts longer than Firm B at 10% level of significance. Provide the test statistic value, critical value, and conclusion in the box below.
Transcribed Image Text:A study was made to compare the lifetime of light bulbs of the two leading electrical firms, A and B. In order to compare, nine light bulbs were randomly selected from each of the firms. Based on the sample, Firm A has an average lifetime of 671.67 hours with a standard deviation of 44.72 while Firm B has an average lifetime of 648.89 hours with a standard deviation of 72.53. Assume that the length of life of the light bulbs have an approximately normal distribution. Suppose we want to know if there is sufficient evidence to conclude that Firm A manufactures light bulbs that lasts longer than Firm B at 10% level of significance. Provide the test statistic value, critical value, and conclusion in the box below.
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