Question

Pick a scenario, such as giving a test in school, and then for each item listed give a brief example of how the scenario changes in order to run each type of test. You do not have to solve the problem you give. 1. for the mean (when population variance is known and when it is unknown) 2. for a percentage 3. to see if the means of two sets of data are the same 4. goodness of fit test 5. test for independence. There isn't any data for this question. It's a hypothetical scenario.

Answer 1

1. In a school test teacher announced that average marks of student are 65 with population standard deviation in marks 12. To test whether the teachers claim is correct a sample of 25 students is taken and average marks calculated. Since the population standard deviation is known Z test for population mean is appropriate. But if the standard deviation of population is unknown t test for population mean is appropriate.

2. Teacher claim that 50% student who appeared in the test have passed. To test this claim a sample of appropriate size is taken and the percentage of passed student is calculated. To test the teacher's claim z test for population proportion is appropriate to use.

3.suppose teacher want to test whether the student of division A and div B on an average have scored equal or not. To test this t test for equality if two population mean can be used.

4. Teacher claim that the data on scores of students is normally distributed. To test this claim goodness of fit test can be used. The underlying distribution for this test is chi square distribution

5. Lets assume we have data on grade A, B, C, D and F for students of 5 divisions I, II, III, IV and V of the same class. To test whether there is dependence between grades and division chi square test of Independence can be used.

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