Statistics Homework Solutions 148

Statistics Homework Solutions 148 - 148 CHAPTER 6 6 082 ∆...

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Unformatted text preview: 148 CHAPTER 6 6 082. ∆, the P-value is the sum of the areas to the right of t ¨ 6 082 ¡ ¨ ¤ ¡ 0 002. A computer package gives P ¨ ¡ ¡ ¡ P 0 00174. ¡ ¨ ¡ From the t table, 0 001 ¨ ¤ ©¥ £ Since the alternate hypothesis is of the form µD and to the left of t 6 082. ¡ 6 ¨ 0 233581 ¤£ 0 ¡¥ 0 58 ¨ t ¨ ¡ We can conclude that there is a difference in concentration between the shoot and the root. 11. (a) The differences are 5 0 4 6 1 9 2 6 4 4 3 2 3 2 2 8 1 6 2 8. ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ ¨ Let µR be the mean number of miles per gallon for taxis using radial tires, and let µ B be the mean number of miles per gallon for taxis using bias tires. The appropriate null and alternate hypotheses are H0 : µR µB 0 versus H1 : µR µB 0. ¡ ¨ ¡ 8 953. ¨ 45 ¨ ¡ ¡ ¨ 0 0050. A computer package gives P ¤£ ¤ ©¥ £ ¨ ¡ ¨ ¡ ¤ ¡ ¨ From the t table, P 10 8 953. ¡ ∆, the P-value is the area to the right of t Since the alternate hypothesis is of the form µD 3 375. 6. ¡¥ ¨ 10 9 degrees of freedom. ¡ 1 1338 1 ¨ 0 3 21 10. There are 10 ¡ ¡ 1 1338, n ¡ t 3 21 sD ¡ ¡ D ¡ We can conclude that the mean number of miles per gallon is higher with radial tires. µB 2. 9 degrees of freedom. 3 375. ¡ ¤£ ¨ ¤ ©¥ £ ¨ ¡ ¡ ¨ ¤ ¡ Since the alternate hypothesis is of the form µD ∆, the P-value is the area to the right of t ¨ ¡¥ ¡ ¨ 10 ¨ ¡ 1 1338 ¡ 2 1 ¡ 3 21 10. There are 10 ¡ 1 1338, n ¨ t 3 21 sD 2 vs. H1 : µR ¡ D µB ¡ (b) The appropriate null and alternate hypotheses are H0 : µR From the t table, 0 001 P 0 005. A computer package gives P 0 0041. We can conclude that the mean mileage with radial tires is more than 2 miles per gallon higher than with bias tires. ¡ ¤ ¨ ¨ 3 40. 4 0665. ¨ ¡ ¨ ¡ ¡ ¡ ¤ ¤ ¨ 0 1 19723 ¡ ¨ 8 3476 2 8479. ¨ ¤£ 1 0764 7 1 1050. ¡ 12 4141 7 ¨ ¨ ¡ ¨ £ ¥ ¡ ¡ ¡ 4 0665 ¡ µY ¨ ¨ ¤ ¡ ¡ (d) t µX ¡ (b) StDev = (SE Mean) N (c) µD 2 9235 ¨ 13. (a) SE Mean = StDev/ N ...
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This note was uploaded on 12/20/2011 for the course STA 3163 taught by Professor Mattgilg during the Fall '11 term at UNF.

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