a.
AgeWeeks Employed
Mean37.75Mean18.6875
Standard Error2.974195Standard Error2.188452
Median37.5Median18.5
Mode25Mode21
Standard Deviation11.89678Standard Deviation8.753809
Sample Variance141.5333Sample Variance76.62917
Kurtosis-1.17143Kurtosis-0.21626
Skewness0.337402Skewness0.522601
Range36Range30
Minimum23Minimum6
Maximum59Maximum36
Sum604Sum299
Count16Count16
Confidence Level(99.0%)8.764138Confidence Level(99.0%)6.44877

b. 99% confidence interval estimate for mean age of newly hired employees;

37.75 ¡V 8.76 = 28.99
to
37.75 + 8.76 = 46.51

c. Hypothesis:

Decision Rule: Reject Ho if t > t-critical
Do not reject Ho if t < t-critical

t-critical = t0.01,15 =2.602

0.771 < 2.602
Therefore, at a 99% Confidence Level the Null Hypothesis can not be rejected and we can not state that Riverside¡¦s mean duration of employment weeks is any greater than the mean duration of employment weeks within the rest of California.

d. Is there a relationship between the age of a newly employed individual and the number of weeks of employment?

By using a scatter plot and plotting the number of weeks employed in respect to the ages of the workers, you can see that the points are distributed along a straight line. The number of weeks employed increase positively as the age of the worker increases. Therefore it is safe to say that there is a positive correlation between the ages of newly employed workers and the number of weeks they are employed.

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Question 1 3
Question 2a 5
Question 2b 6
Question 2c 7
Question 3a 8
Question 3b 8
Question 3c 10
Question 3d 11
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