Question: The managers of a company are worried about the morale of their employees. In order 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.

1. The managers should sample ________ employees if they want to estimate the mean score of the employees to within 5 points with 90% confidence.
2. Due to financial limitations, the managers decide to take a sample of 45 employees. This yields a mean score of 88.0 points. A 97% confidence interval would go from ________ to ________.
3. True or False: The confidence interval calculated in part B above is only valid if the scores on the Fortunato test are normally distributed. Explain in detail.
4. What would happen to the limits for the 97% confidence interval, if instead of a sample of 45, the managers could only obtain a sample of 30 employees? Explain in detail.

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