Question: Refer to Example 4. Workers in three occupations were questioned about satisfaction with their jobs. Suppose the number of responses in each of the four

Refer to Example 4. Workers in three occupations were questioned about satisfaction with their jobs. Suppose the number of responses in each of the four categories are

Assign 1 to very dissatisfied, 2 to a little dissatisfied, 3 to moderately satisfied, and 4 to very satisfied. (These data have means and proportions very satisfied similar to those reported in a recent large scale survey.)
(a) Calculate the sample mean and variance separately for firefighters and office supervisors. The scores for clergy have mean 3.79 and standard deviation .590.
(b) Construct a 95% confidence interval for the difference in mean satisfaction score for clergy and office supervisors.

Very A Linle Moder. Very DisDis ately Satis Sample Occupationsatisfied satisfed Satisfed fied Size Firefighters 6 Office Supervisors Clergy 24 180 226 85 149 247 78 90 12 6

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