In: Statistics and Probability
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 |
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