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8. 109 Brand X oil filters and 88 Brand Y oil filters were tested for milligrams

ID: 2702671 • Letter: 8

Question

8. 109 Brand X oil filters and 88 Brand Y oil filters were tested for milligrams of residue, with the following results. Construct a 95% confidence interval for the difference between the two population means, uy - ux.  Assume that the two samples are independent and that they have been randomly selected.   Sample Mean  Sample Standard Deviation  Brand X  4.1 0.13 Brand Y  4.4 0.76  Answer A. (0.14, 0.46) B. (-0.49, 0.46) C. (-0.46, -0.14) D. (-0.47, -0.13)

9. The difference between two sets of dependent data are 6   27    18     21     12.   Find sd     Round to the nearest tenth. Answer A. 8.1 B. 10.5 C. 6.5 D. 16.2

10. A farmer has decided to use a new additive to grow his crops.  He divided his farm into ten plots and kept records of the common yield (in bushels) before and after using the additive.  The results are shown below.   You wish to test at the 1% significance level the hypothesis:  H0: uD = 0 against H1: uD ? 0.  What decision rule would you use? Plot  1  2  3  4  5  6  7  8  9  10      Before 9  9  8  7  6  8  5  9  10  11  After  10  9  9  8  7  10  6  10  10  12  Answer A.    Reject H0 if test statistic is less than -3.250. B. Reject H0 if test statistic is less than -3.250 or greater than 3.250. C.   Reject H0 if test statistic is greater than -3.250 or less than 3.250. D.   Reject H0 if test statistic is  greater than 3.250.

Explanation / Answer

10. B. Reject H0 if test statistic is less than -3.250 or greater than 3.250.

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