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Unformatted text preview: C HAPTER 10 O NE S AMPLE T ESTS OF H YPOTHESIS 1. a. Twotailed b Reject H o and accept H 1 when z does not fall in the region from 1.96 and 1.96 c. 1.2, found by 49 50 (5/ 36) z = d. Fail to reject H o e. p = 0.2302, found by 2(0.5000 0.3849). A 23.02% chance of finding a z value this large when H o is true. 2. a. Onetail b. Reject H o when z > 2.05 c. 4, found by 12 10 (3/ 36) z = d. Reject H o and conclude that >10 e. pvalue is very close to 0, given a z value of 4.00. Very little chance H o is true. 3. a. Onetailed b. Reject H o and accept H 1 when z > 1.65 c. 1.2, found by 21 20 (5/ 36) z = d. Fail to reject the H o at the 0.05 significance level. e. p = 0.1151, found by 0.5000 0.3849. An 11.51% chance of finding a zvalue this large or larger. 4. a. Onetailed b. Reject H o and accept H 1 where z <  1.88 c. 2.67, found by 215 220 (15/ 64) z = d. Reject H o and conclude that the population mean is less than 220 at the 0.03 significance level. e. p = 0.0038, found by 0.5000 0.4962. Less than 0.5% chance H o is true. 5. a. H o : = 60,000 H 1 : 60,000 b. Reject H o if z <  1.96 or z > 1.96 c. 0.69, found by 59,500 60,000 (5000/ 48) z = d. Do not reject H o e. p = 0.4902, found by 2(0.5000 0.2549). Crossets experience is not different from that claimed by the manufacturer. If the H o is true, the probability of finding a value more extreme than this is 0.4902. Chapter 10 88 6. a. H o : 3 H 1 : < 3 b. Reject H o if z <  1.65 c. 1.77, found by 2.75 3.0 (1/ 50) z = d. Reject H o e. p = 0.0384, found by (0.5000 0.4616). We conclude that the mean waiting time is less than three minutes. When H o is true, the probability of obtaining a value smaller than  1.77 is 0.0384. 7. a. H o : 6.8 H 1 : <6.8 b. Reject H o if z <  1.65 c. 7.2, found by 6.2 6.8 (0.5/ 36) z = d. H o is rejected e. p = 0. The mean number of DVDs watched is less than 6.8 per month. If H o is true, there is virtually no chance of getting a statistic this small. 8. a. H o : 80 H 1 : > 80 b. Reject H o if z > 2.33 c. 2.52, found by $84.85 $80.00 ($11.38/ 35) z = d. Reject H o e. p = 0.0059. The mean amount of tips per day is larger than $80.00. If H o is true, the probability of obtaining a sample mean this far above 80 is virtually zero. 9. a. H o is rejected if z > 1.65 b. 1.09, found by 0.75 0.70 0.70(0.30) 100 z = c. H o is not rejected 10. a. H o is rejected if z <  1.96 or z > 1.96 b. 2.24, found by 0.30 0.40 0.40(0.60) 120 z = c. H o is rejected 11. a. H o : 0.52 H 1 : > 0.52 b. H o is rejected if z > 2.33 c. 1.62, found by 0.5667 0.52 0.52(0.48) 300 z = d. H o is not rejected. We cannot conclude that the proportion of men driving on the Ohio Turnpike is not larger than 0.52....
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 Spring '08
 HALEY

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