Question

In: Statistics and Probability

A sociologist is interested in the relation between x = number of job changes and y...

A sociologist is interested in the relation between x = number of job changes and y = annual salary (in thousands of dollars) for people living in the Nashville area. A random sample of 10 people employed in Nashville provided the following information.

x (number of job changes) 6 5 4 6 1 5 9 10 10 3
y (Salary in $1000) 37 34 35 32 32 38 43 37 40 33

In this setting we have Σx = 59, Σy = 361, Σx2 = 429, Σy2 = 13,149, and Σxy = 2202.

Find a 90% confidence interval for the annual salary of an individual with x = 8 job changes. (Round your answers to two decimal places.)

lower limit     thousand dollars
upper limit     thousand dollars

Solutions

Expert Solution

The statistical software output for this problem is:

From above output:

95% confidence interval for the annual salary of an individual with x = 8 job changes:

Lower limit = 36.10

Upper limit = 39.85


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