Each of a sample of 49 unemployed men was given a mental health examination using the General Health Questionnaire (GHQ).
The GHQ is widely recognized measure of present mental health , with lower values indicating better mental health. The mean and standard deviation of the GHQ scores were x = 10. 94 and s = 5. 10, ? respectively. (a).
Specify the appropriate null and alternative hypothesis if we wish to test the research hypothesis that the mean GHQ score for all unemployed men exceeds 10. Is the test one-tailed or two-tailed? (b).
If we specify ? = 0. 05, what is the appropriate rejection region for this test? c).
Conduct the test, and state your conclusion clearly in the language of this exercise. Find the p-value of the test. (Ans. H0 : µ = 10; Ha : µ > 10; One-tailed test; Rejection region: Z > 1. 645; Test score: Z = 1. 29; Do not reject H0 , GHQ score does not exceeds 10; p-value = 0. 0985) Example. A consumer protection group is concerned that a ketchup manufacturer is ? lling its 20-ounce family-size containers with less than 20 ounces of ketchup. The group purchases 49 family-size bottles of this ketchup, weigh the contents of each, and ? nds that the mean weight is 19. 6 ounces, and the standard deviation is equal to 0. 22 ounces. (a).
Do the data provide su? cient evidence for the consumer group to conclude that the mean ? ll per family-size bottle is les than 20 ounces? Test using ? = 0. 05. (b).
The Essay on Entrance Test: Faculty of Health Sciences
Date and venue of the test centres have been indicated on the Admit Card. Applicants should indicate one centre of their choice in the space provided in the Application Form. In case the Admit Card does not reach you on time, you are advised to take the Test at a convenient Centre bringing a photocopy of the application form and photo ID with you for identification. The University has not ...
Find the p-value of the your test in part (a).
(Ans. H0 : = 20; Ha : < 20; Rejection Region is Z < ? 1. 645 (one-tailed test); test score Z = ? 4. 45; Reject H0 at ? = 0. 05, su? cient evidence to say that the mean ? ll per family-size bottle is less than 20 ounces; p-value = 0) Example. State University uses thousands of ? uorescent light bulbs each year.
The brand of bulb it currently uses has a mean life of 900 hours. A manufacturer claims that its new brands of bulbs, which cost the same as the brand the university currently uses, has a mean life of more than 900 hours. The university has decided to purchase the new brand if, when tested, the test evidence supports the manufacturer’s claim at the . 10 signi? cance level. Suppose 99 bulbs were tested with the following results: x = 919 hours, s = 86 hours. Find the rejection region for the test of interest to the State University. ? (Ans. Rejection Region: Z > 1. 28) 1 . Small sample (n ? 30) test for H0 : µ = µ0 (known).
t= This test requires that the sampled population is normal. x ? µ0 ? s v n Example. A random sample of n observations is selected from a normal population to test the null hypothesis that µ = 10. Specify the rejection region for each of the following combinations of Ha , ? , and n. (a).
Ha : µ = 10, ? = 0. 01, n = 14. (Ans. t < ? 3. 012, or t > 3. 012) (b).
Ha : µ < 10, ? = 0. 025, n = 26. (Ans. t < ? 2. 06) Example. According to advertisements, a strain of soybeans planted on soil prepared with a speci? d fertilizer treatment has a mean yield of 475 bushels per acre. Twenty farmers who belong to a cooperative plant the soybeans. Each uses a 40-acre plot and records the mean yield per acre. The mean and variance for the sample of 20 farms are x = 462 and s2 = 9070. ? Specify the null and alternative hypothesis used to determine if the mean yield for the soybeans is di? erent than advertised. (Ans. H0 : µ = 475; Ha : µ = 475) Example. A psychologist was interested in knowing whether male heroin addicts’ assessments of self-worth di? er from those of the general male population.
The Essay on Test University Hard Mom
University Applying to college is a slow and painful process. Because it's really hard to get accepted, unless You are better qualified than thousands, and their thousands. You know; the bank accounts in the Caribbean islands. I had to study really, really hard for the SAT's, In order to even stand a shot into any of the ivy leagues. And luckily, My family, Can donate a library, Or instead of ...
