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Question 3: A major retailer wants to choose between two equally-priced brands of compact fluorescent lamps. To do this, they take a random sample of 100 lamps of each brand. The lifetimes, measured in hours, of the lamps are shown on this sheet. To make the decision, they must first determine whether the underlying population variances are equal. Assume lifetimes follow normal distribution. Use a significance level of 5%. a) State the null and alternate hypotheses. b) What is the value of the test statistic? c) What is the critical value of the test? d) What is your conclusion? Explain it in the context of the problem.

Question 3: A major retailer wants to choose between two equally-priced brands of compact fluorescent lamps. To do this, they take a random sample of 100 lamps of each brand. The lifetimes, measured in hours, of the lamps are shown on this sheet. To make the decision, they must first determine whether the underlying population variances are equal. Assume lifetimes follow normal distribution. Use a significance level of 5%. a) State the null and alternate hypotheses. b) What is the value of the test statistic? c) What is the critical value of the test? d) What is your conclusion? Explain it in the context of the problem.

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Question 3: A major retailer wants to choose between two equally-priced brands of compact fluorescent lamps. To do this, they take a random sample of 100 lamps of each brand. The lifetimes, measured in hours, of the lamps are shown on this sheet. To make the decision, they must first determine whether the underlying population variances are equal. Assume lifetimes follow normal distribution. Use a significance level of 5%. a) State the null and alternate hypotheses. b) What is the value of the test statistic? c) What is the critical value of the test? d) What is your conclusion? Explain it in the context of the problem. Brand1 Brand2 Мean 100.0898 Mean 99.5594 Standard Error 0.282105109 Standard Error 0.63063061 Median 100.065 Median 99.81 Mode 101 Mode #N/A Standard Deviation 2.82105109 Standard Deviation 6.306306098 Sample Variance 7.958329253 Sample Variance 39.76949661 Kurtosis 0.38386769 Kurtosis 0.001222088 Skewness -0.069581586 Skewness -0.152964909 Range 15.5 Range 32.52 Minimum 92.23 Minimum 81.47 Maximum 107.73 Maximum 113.99 Sum 10008.98 Sum 9955.94 Count 100 Count 100 Confidence Level(95.0%) 0.559757739 Confidence Level(95.0%) 1.251307946
Transcribed Image Text:Question 3: A major retailer wants to choose between two equally-priced brands of compact fluorescent lamps. To do this, they take a random sample of 100 lamps of each brand. The lifetimes, measured in hours, of the lamps are shown on this sheet. To make the decision, they must first determine whether the underlying population variances are equal. Assume lifetimes follow normal distribution. Use a significance level of 5%. a) State the null and alternate hypotheses. b) What is the value of the test statistic? c) What is the critical value of the test? d) What is your conclusion? Explain it in the context of the problem. Brand1 Brand2 Мean 100.0898 Mean 99.5594 Standard Error 0.282105109 Standard Error 0.63063061 Median 100.065 Median 99.81 Mode 101 Mode #N/A Standard Deviation 2.82105109 Standard Deviation 6.306306098 Sample Variance 7.958329253 Sample Variance 39.76949661 Kurtosis 0.38386769 Kurtosis 0.001222088 Skewness -0.069581586 Skewness -0.152964909 Range 15.5 Range 32.52 Minimum 92.23 Minimum 81.47 Maximum 107.73 Maximum 113.99 Sum 10008.98 Sum 9955.94 Count 100 Count 100 Confidence Level(95.0%) 0.559757739 Confidence Level(95.0%) 1.251307946
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