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Unformatted text preview: Chapter 10 – OneSample Tests of Hypothesis Chapter 10 OneSample Tests of Hypothesis 1. a. Twotailed, because the alternate hypothesis does not indicate a direction. b Reject H o when z does not fall in the region from – 1.96 and 1.96 c. 1.2, found by d. Fail to reject H o e. p = 0.2302, found by 2(0.5000 – 0.3849). There is a 23.02% chance of finding a z value this large by “sampling error” when H o is true. 2. a. Onetailed, because the alternate hypothesis indicates a greater than direction. b. Reject H o when z > 2.05 c. 4, found by d. Reject H o and conclude that μ >10 e. The pvalue is close to 0. So there is very little chance H o is true. 3. a. Onetailed, because the alternate hypothesis indicates a greater than direction. b. Reject H o when z > 1.65 c. 1.2, found by d. Fail to reject H o at the 0.05 significance level. 101 Chapter 10 – OneSample Tests of Hypothesis e. p = 0.1151, found by 0.5000 – 0.3849. There is an 11.51% chance of finding a z value this large or larger by “sampling error” when H o is true. 4. a. Onetailed, because the alternate hypothesis indicates a less than direction. b. Reject H o when z <  1.88 c. 2.67, found by 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. There is less than 0.5% chance H o is true. 5. a. H o : μ = 60,000 H 1 : μ ≠ 60,000 b. Reject H o if z <  1.96 or z > 1.96 c. 0.69, found by d. Do not reject H o e. p = 0.4902, found by 2(0.5000 – 0.2549). Crosset’s 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 2 Chapter 10 – OneSample Tests of Hypothesis 6. a. H o : μ ≥ 3 H 1 : μ < 3 b. Reject H o if z <  1.65 c. 1.77, found by 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 : μ ≥ 6.8 H 1 : μ <6.8 b. Reject H o if z <  1.65 c. 7.2, found by d. H o is rejected e. p = 0. The mean number of DVD’s 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 : μ ≤ 80 H 1 : μ >80 b. Reject H o if z > 2.33 c. 8.86, found by d. Reject H o e. p = 0.0000. 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. Reject H o when t > 1.833 b. c. Reject H o . The mean is greater than 10....
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This note was uploaded on 12/30/2010 for the course BUSS 202 taught by Professor Ritageutchian during the Three '10 term at Notre Dame AU.
 Three '10
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