A purchasing manager for a large university is deciding which brand of lights bulbs to purchase for classroom projectors. Of major concern is the longevity of the light bulbs. The purchasing manager has narrowed down the choice of light bulbs to two brands, Infocus and Proxima, and wishes to determine if there is any difference between the two brands in the mean lifetime of the bulbs. The purchasing manager obtained 12 Infocus bulbs and 10 Proxima bulbs for testing over the last several academic terms. (Consider these as random samples of the Infocus and Proxima bulbs.) The two samples were chosen separately, so that the selection of the Infocus bulbs did not affect the selection of the Proxima bulbs. The number of hours the bulbs lasted on each of the machines in the two samples were recorded. The following table gives the data, sample means, and sample standard deviations. Lifetimes of light bulbs (hours) Infocus 990, 1001, 868, 706, 1015, 899, 702, 834, 707, 800, 734, 1011 Proxima 813, 716, 1003, 997, 726, 827, 726, 710, 1062, 772 Send data to calculator O independent samples O paired (dependent) samples (a) Are the two samples of light bulbs independent or paired (dependent) samples? Choose the best answer. X O== 0 01= 0 O It is unclear which test statistic to use. S Sample mean Sample standard deviation X 855.6 835.2 S ) The purchasing manager wants to use the data to determine whether the two brands differ in terms of the mean lifetime of the bulbs. Assume tha both populations are approximately normally distributed. 126.9 Choose the appropriate test statistic for the hypothesis test that would be performed. Then calculate that statistic. Carry your intermediate computations to three or more decimal places. Round your answer to three decimal places. (If necessary, consult a list of formulas.) 135.0

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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Transcribed Image Text:A purchasing manager for a large university is deciding which brand of lights bulbs to purchase for classroom projectors. Of major concern is the longevity of the light bulbs. The purchasing manager has narrowed down the choice of light bulbs to two brands, Infocus and Proxima, and wishes to determine if there is any difference between the two brands in the mean lifetime of the bulbs. The purchasing manager obtained 12 Infocus bulbs and 10 Proxima bulbs for testing over the last several academic terms. (Consider these as random samples of the Infocus and Proxima bulbs.) The two samples were chosen separately, so that the selection of the Infocus bulbs did not affect the selection of the Proxima bulbs. The number of hours the bulbs lasted on each of the machines in the two samples were recorded. The following table gives the data, sample means, and sample standard deviations. Infocus 990, 1001, 868, 706, 1015, 899, 702, 834, 707, 800, 734, 1011 Lifetimes of light bulbs (hours) Proxima 813, 716, 1003, 997, 726, 827, 726, 710, 1062, 772 Send data to calculator V O independent samples O paired (dependent) samples (a) Are the two samples of light bulbs independent or paired (dependent) samples? Choose the best answer. X O== -0 Ot= 0 O It is unclear which test statistic to use. S Sample mean Sample standard deviation X 855.6 835.2 (b) The purchasing manager wants to use the data to determine whether the two brands differ in terms of the mean lifetime of the bulbs. Assume that both populations are approximately normally distributed. Ś Choose the appropriate test statistic for the hypothesis test that would be performed. Then calculate that statistic. Carry your intermediate computations to three or more decimal places. Round your answer to three decimal places. (If necessary, consult a list of formulas.) 126.9 135.0

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