Español 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 985, 1002, 871, 1008, 706, 1082, 857, 923, 865, 1201, 987, 722, 799, 867 Proxima 861, 942, 726, 860, 690, 940, 906, 1026, 718, 650, 1086, 1004, 1061, 781 Send data to calculator v Send data to Excel) Assume that the two populations of lifetimes are normally distributed and that the population variances are equal. Can we conclude, at the 0.05 level of significance, that the mean lifetime of light bulbs in Infocus projectors, H, differs from H, the mean lifetime of light bulbs in Proxima projectors? Perform a two-tailed test. Then complete the parts below. more decimal places and round your answers as specified in the table. (If necessary, consult a list of Carry your intermediate computations formulas.) three (a) State the null hypothesis Ho and the alternative hypothesis H. H, :0 H :0 믐 (b) Determine the type of test statistic to use. (Choose one) ▼ OsO (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the two critical values at the 0.05 level of significance. (Round three or more decimal places.) I and 0 (e) Can we conclude that the mean lifetime of light bulbs in Infocus projectors, H, differs from H,, the mean lifetime of light bulbs in Proxima projectors? OYes ONo

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Question

Transcribed Image Text:O BUSAD265 Ch11 Hypothesis Te X A ALEKS - Kierra Alford b Answered: State the null hypot x E T-test for two Means - Unknow x Order 356230645 + A www-awu.aleks.com/alekscgi/x/lsl.exe/1o_u-IgNslkr7j8P3jH-lv-Y-mBdRDk1FzbOsPOiMQwqFYZIN5rXLxPuxnZq4jpYsPJ_OS5M1twf2Ei_4kozoqYNMJlb13a8UsVom.. Update O CONFIDENCE INTERVALS AND HYPOTHESIS TESTING Hypothesis test for the difference of population means: t test fo. Kierra v Español 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 given in the table. Lifetimes of light bulbs (hours) Infocus 985, 1002, 871, 1008, 706, 1082, 857, 923, 865, 1201, 987, 722, 799, 867 Proxima 861, 942, 726, 860, 690, 940, 906, 1026, 718, 650, 1086, 1004, 1061, 781 Send data to calculator Send data to Excel Assume that the two populations of lifetimes are normally distributed and that the population variances are equal. Can we conclude, at the 0.05 level of significance, that the mean lifetime of light bulbs in Infocus projectors, H,, differs from H,, the mean lifetime of light bulbs in Proxima projectors? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H,. H, :0 H, :0 (b) Determine the type of test statistic to use. (Choose one) v D=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the two critical values at the 0.05 level of significance. (Round to three or more decimal places.) O and O (e) Can we conclude that the mean lifetime of light bulbs in Infocus projectors, H,, differs from Hy, the mean lifetime of light bulbs in Proxima projectors? O Yes ONo <a olo A

Expert Solution