Question

Scenario 8 Use Scenario 8 to answer the following questions: The managers of a company are worried about the morale of their employees. To determine if a problem in this area exists, they decide to evaluate the attitudes of their employees with a standardized test. They select the Fortunato test of job satisfaction, which has a known standard deviation of 24 points.

Answer 1

(Q40) This statement is FALSE. Since population standard deviation is known, and if we take a sample size > 30, then the confidence interval would still be valid using a standardized test.

We would also have been able to use a standardized test, if it were not known that the population was normally distributed

and the following were noticed

(a) Unknown population standard deviation and n was small (students t test)

(b) known population standard deviation but the sample size was small. (Students t test)

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(Q41) To Find the two tailed p value of a z test statistic which is positive, we use the following steps

Find the left tailed p value at z test = 2. This value (from the normal distribution tables) = 0.9772

Then find the right tailed value = 1 - Left tailed value = 1 - 0.9772 = 0.0228

Then multiply the right tailed p value by 2 to get the two tailed p value = 2 * 0.0228 = 0.0456

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