Statistics Homework Solutions 138

Statistics Homework Solutions 138 - 138 CHAPTER 6 1 60...

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Unformatted text preview: 138 CHAPTER 6 1 60 versus H1 : µ µ0 , the P-value is the area to the right of t ¡¥ ¤£ ¡ 0 25. A computer package gives P 0 866. 0 202. ¨ P ¡ ¡ ¨ ¤ ¥ £ ¨ ¡ ¤ ¡ Since the alternate hypothesis is of the form µ ¡ From the t table, 0 10 60. 0 866. ¨ 12 ¨ 52 ¨ ¨ 60 ¡ ¡ 61 3 ¨ ¨ The null and alternate hypotheses are H0 : µ t 11 degrees of freedom. ¡ 12. There are 12 ¡ 5 2, n ¡ 61 3, s ¡ 5. (a) X 35. ¡ (c) Yes, the P-value is small, so we conclude that µ ¨ ¡ We cannot conclude that the mean concentration is greater than 60 mg/L. 1 2 465. µ0 , the P-value is the area to the left of t ¤£ ¡ 0 025. A computer package gives P 0 0157. ¨ P ¡ ¡ ¨ ¤ ¥ £ ¨ ¡ ¤ ¡ ¡ From the t table, 0 01 2 465. ¨ ¨ Since the alternate hypothesis is of the form µ ¡ ¡¥ ¡ 12 ¨ 52 65. ¨ ¡ 65 § 61 3 65 versus H1 : µ ¡ ¨ The null and alternate hypotheses are H0 : µ t 11 degrees of freedom. ¡ 12. There are 12 ¡ 5 2, n ¡ 61 3, s ¡ (b) X ¨ ¡ We conclude that the mean concentration is less than 65 mg/L. 7. (a) 3.8 4 4.2 (b) Yes, the sample contains no outliers. 7. There are 7 ¡ 0 061244, n ¡ ¨ ¡ 4 032857, s 1 ¡ ¨ ¡ X 6 degrees of freedom. 7 ¡¥ ¤£ 0 061244 4 versus H1 : µ 4. 1 419. ¨ ¨ ¤ ¥ £ 4 ¡ ¡ 4 032857 ¡ The null and alternate hypotheses are H0 : µ ¨ ¤ t ¡ ¡ ¨ 0 50. A computer package gives P 0 2056. ¡ ¨ P ¨ ¡ ¡ ¡ From the t table, 0 20 ¨ ¡ It cannot be concluded that the mean thickness differs from 4 mils. (c) 3.9 4 4.1 4.2 4.3 (d) No, the sample contains an outlier. 2 424. µ0 , the P-value is the area to the left of t 0 025. A computer package gives P ¨ ¡ P ¡ ¤£ ¨ ¤ ©¥ £ ¡ ¨ ¤ ¡ ¡ From the t table, 0 01 ¡ ¡ Since the alternate hypothesis is of the form µ 0 013. ¨ ¡¥ 18 ¡ 0 21 ¨ 2 2. ¡ ¨ 1 88 2 versus H1 : µ 2 424. ¨ ¡ t 17 degrees of freedom. ¡ ¨ The null and alternate hypotheses are H0 : µ 1 ¡ 18. There are 18 ¡ 0 21, n § 1 88, s ¡ X ¡ ¨ 9. ¡ µ0 , the P-value is the sum of the areas to the right of t 1 419 ¨ Since the alternate hypothesis is of the form µ and to the left of t 1 419. ...
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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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