A purchasing manager for a large university is investigating which brand of LCD projector to purchase to equip "smart" classrooms. Of major concern is the longevity of the light bulbs used in the projectors. The purchasing manager has narrowed down the choice of projector 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 used. The purchasing manager obtained fourteen projectors of each brand for testing over the last several academic terms. The number of hours the bulbs lasted on each of the fourteen machines is given in the table. Lifetimes of light bulbs (hours) Infocus 768, 826, 732, 1017, 898, 1059, 719, 907, 872, 853, 1193, 997, 1016, 861 Proxima 789, 815, 724, 931, 963, 728, 635, 1019, 905, 907, 776, 970, 1081, 566 Send data to calculator v Assume that the two populations of lifetimes are normally distributed and that the population variances are equal. Can we conclude, at the 0.01 level of significance, that there is a difference in the mean lifetime of the light bulbs in the two brands? Perform a two-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) H, :0 The null hypothesis:

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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Transcribed Image Text:A purchasing manager for a large university is investigating which brand of LCD projector to purchase to equip "smart" classrooms. Of major concern is the longevity of the light bulbs used in the projectors. The purchasing manager has narrowed down the choice of projector 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 used. The purchasing manager obtained fourteen projectors of each brand for testing over the last several academic terms. The number of hours the bulbs lasted on each of the fourteen machines is given in the table. Lifetimes of light bulbs (hours) Infocus 768, 826, 732, 1017, 898, 1059, 719, 907, 872, 853, 1193, 997, 1016, 861 Proxima 789, 815, 724, 931, 963, 728, 635, 1019, 905, 907, 776, 970, 1081, 566 Send data to calculator Assume that the two populations of lifetimes are normally distributed and that the population variances are equal. Can we conclude, at the 0.01 level of significance, that there is a difference in the mean lifetime of the light bulbs in the two brands? Perform a two-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) The null hypothesis: H, :0 The alternative hypothesis: H, : Save For Later Submit Assignmi Check O 2021 McGraw-Hill Education. All Rights Reserved. Terms of Use I Privacy I Access

patotiono
The null hypothesis:
H, :0
H, :0
The alternative hypothesis:
O=0
OSO
The type of test statistic:
(Choose one)
The value of the test statistic:
(Round to at least three
decimal places.)
The two critical values at the
0.01 level of significance:
and
(Round to at least three
decimal places.)
Can we condude that there is a difference in the
mean lifetimes of the light bulbs in the two
brands?
O Yes
O No
Save For Later
Subm
Check
02021 McGraw-Hill Education. All Rights Reserved. Terms of Use I Priv

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