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rk Ass ghment Chapter 10 Exercise 10-17 Algo A consumer advocate researches the length of ife between two brands of refrigerators, Brand A and Brand B. He collects data (measured in years) on the longevity of 40 refrigerators for Brand A and repeats the sampling for Brand B. These data are measured in years (You may find it useful to reference the appropriate table: z table or ttable) 25 24 17 1335 13 2117 27 13 18 23 2 16 12 16 13 16 23 13 24 Micrósoft Edge 腮沙! ei:: a曲闕咁白#困な汀@ here to search
b-1.Calculate the value of the test statistic Assume that o-47 and e-6.4. (Negative values should be Indicated by a minus sign. Round Intermediate calculations to at least 4 declmal places and final answer to 2 declmal places.) statistic
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Answer #1

Here

TA 17.075, σ2 4.7.12 A 40

and řB = = -40 ТВ 18.45, σ 6.4.nB

The test statistic can be written as

z = rac{(ar{x}_A - ar{x}_B)}{sqrt{rac{sigma_A^2}{n_A} + rac{sigma_B^2}{n_B}}} which under H0 follows a standard normal distribution.

Now,

The value of the test statistic (17.075 - 18.45) obs =-1.57983 4.7 6.4 40 40

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