If you can show work that would be good

A purchasing manager for a large university is investigating which brand of LCD projector to purchase to equip "smartII 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 ten projectors of each brand for testing over the last several academic terms. The number of hours the bulbs lasted on each of the ten machines is given in the table. Lifetimes of light bulbs (hours) 1122, 852. 906, 1019, 1136, 920. 594, 782, 791, 865 Proxinia 789, 724, 925. 834, 821, 886, 698, 894, 1'20, 891 Send data to calculator V Send data to Encel Assume that the two populations of lifetimes are normally distributed and that the population variances are equal. Can we conclude, at the 0 level of si nicance, that there is a difference in the mean lifetime of the light bulbs in the two brands? Perform a two-tailed test. Then ll in the table below. Carri}:I your intermediate computations to at least three decimal places and round your answers as specied in the table. (If necessary, consul a Ii 9f mrmiilas.) V The Mypothesis: 1 ID The alternative hypothesis: - I] The type of test statistic: (Choose one) V The value of the test statistic: (Round to at least three decimal places.) The two critical values at the 0.1 level of signicance: (Round to at least three decimal places.) Can we conclude that there is a difference in the mean lifetimes of the light bulbs in the two brands? O Yes 0 N0