I can't figure out the degrees of freedom and critical value A purchlongevity of the light bulbs used in the projectors. The purchasing manager has narrowed down the choice of projector to two brands, Infocus and Proxima, andwishes to determine if there is any difference between the two brands in the mean lifetime of the bulbs used.manager for a large university is investigating which brand of LCD projector to purchase to equip "smart" classrooms. Of major concern is theThe purchasing manager obtained fifteen projectors of each brand for testing over the last several academic terms. The number of hours the bulbs lasted oneach of the fifteen machines is given in the table.Lifetimes of light bulbs (hours)Infocus 1091, 818, 1198, 796, 1045, 1084, 1026, 613, 915, 665, 812, 912, 567, 698, 812Proxima 783, 850, 845, 777, 941, 751, 746, 883, 774, 826, 959, 938, 756, 695, 672Send data to calculator vAssume that the two populations of lifetimes are normally distributed and that the population variances are equal. Can we conclude, at the 0.01 level ofsignificance, 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, :0The alternative hypothesis:D=0OSOThe type of test statistic:(Choose one)The value of the test statistic:(Round to at least threedecimal places.)The two critical values at theD and I0.01 level of significance:(Round to at least threedecimal places.)Can we conclude that there is a difference in themean lifetimes of the light bulbs in the two brands?O YesO Noolo AIx A purchlongevity of the light bulbs used in the projectors. The purchasing manager has narrowed down the choice of projector to two brands, Infocus and Proxima, andwishes to determine if there is any difference between the two brands in the mean lifetime of the bulbs used.manager for a large university is investigating which brand of LCD projector to purchase to equip "smart" classrooms. Of major concern is theThe purchasing manager obtained fifteen projectors of each brand for testing over the last several academic terms. The number of hours the bulbs lasted oneach of the fifteen machines is given in the table.Lifetimes of light bulbs (hours)Infocus 1091, 818, 1198, 796, 1045, 1084, 1026, 613, 915, 665, 812, 912, 567, 698, 812Proxima 783, 850, 845, 777, 941, 751, 746, 883, 774, 826, 959, 938, 756, 695, 672Send data to calculator vAssume that the two populations of lifetimes are normally distributed and that the population variances are equal. Can we conclude, at the 0.01 level ofsignificance, 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, : Hy = HyThe alternative hypothesis:Degrees offreedom:D=0OSOThe type of test statistic:tThe value of the test statistic:1.054(Round to at least threedecimal places.)The two critical values at theO and I0.01 level of significance:(Round to at least threedecimal places.)Can we conclude that there is a difference in themean lifetimes of the light bulbs in the two brands?YesO NoExplanationRecheck

The sample sizes n1 is 15 and n2 is 15.

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

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Author:Carter

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Chapter10: Statistics

Section10.6: Summarizing Categorical Data

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I can't figure out the degrees of freedom and critical value

Transcribed Image Text:A purch 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. manager for a large university is investigating which brand of LCD projector to purchase to equip "smart" classrooms. Of major concern is the The purchasing manager obtained fifteen projectors of each brand for testing over the last several academic terms. The number of hours the bulbs lasted on each of the fifteen machines is given in the table. Lifetimes of light bulbs (hours) Infocus 1091, 818, 1198, 796, 1045, 1084, 1026, 613, 915, 665, 812, 912, 567, 698, 812 Proxima 783, 850, 845, 777, 941, 751, 746, 883, 774, 826, 959, 938, 756, 695, 672 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.) The null hypothesis: H, :0 The alternative hypothesis: D=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 D and I 0.01 level of significance: (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 O No olo A Ix

Transcribed Image Text:A purch 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. manager for a large university is investigating which brand of LCD projector to purchase to equip "smart" classrooms. Of major concern is the The purchasing manager obtained fifteen projectors of each brand for testing over the last several academic terms. The number of hours the bulbs lasted on each of the fifteen machines is given in the table. Lifetimes of light bulbs (hours) Infocus 1091, 818, 1198, 796, 1045, 1084, 1026, 613, 915, 665, 812, 912, 567, 698, 812 Proxima 783, 850, 845, 777, 941, 751, 746, 883, 774, 826, 959, 938, 756, 695, 672 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.) The null hypothesis: H, : Hy = Hy The alternative hypothesis: Degrees of freedom: D=0 OSO The type of test statistic: t The value of the test statistic: 1.054 (Round to at least three decimal places.) The two critical values at the O and I 0.01 level of significance: (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? Yes O No Explanation Recheck

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