This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
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 μ >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 : 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 59,500 60,000 (5000/ 48) z = 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 88 6. a. H o : μ ≥ 3 H 1 : μ < 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 : μ ≥ 6.8 H 1 : μ <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 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. 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 : π ≤ 0.52 H 1 : π > 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....
View
Full Document
 Spring '08
 HALEY
 Normal Distribution, Reject Ho

Click to edit the document details