General Mills Employees Satisfaction regression

See attached document.

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#1 A sample of General Mills employees was studied to determine their degree of satisfaction
with their present life. A special index, called the index of satisfaction, was used to measure
satisfaction. Six factors were studied, namely, age at the time of first marriage (X1),
annual income (X2), number of children living (X3). Value of all assets (X4)
status of health in the form of an index (X5), and the average number of social activities per week-
such as bowling and dancing (X6). Suppose the multiple regression equation is:

Y' = 16.24 + 0.017 X11 + 0.0028X2 + 42X3 + 0.0012X4 + 0.19X5 + 26.8X6

a. What is the estimated index of satisfaction for a person who first married at 18, has an annual income of $26,500
has three children living, has assets of $156,000, has an index of health status of 141 and has 2.5 social activities a week
on average?
b. Which would add more satisfaction, an additional income of $10,000 a year or two more social activities a week?

#2 Classic Golf Inc. manages five courses in Jacksonville Florida. The Director wishes to study
the number of rounds of golf played per weekday at the five courses. He gathered the following sample information.

Day Rounds
Monday 124
Tuesday 74
Wednesday 104
Thursday 98
Friday 120

a. At the .05 significance level, is there a difference in the number of rounds played by day of the week?

#3 At www.payscale.com, the median salary for a chiropractor in Kansas is $82,400 per year.
A group of recent graduates believe this amount is too low. In a random sample of 205 chiropractors who recently graduated,
170 began with a salary of more than $82,400, and five earned a salary of exactly $82,400.

a. State the null and alternative hypotheses.
b. State the decision rule. Use the .05 significance level.
c. Do the necessary computations and interpret the results.
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