Statistics Case Study 1
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Statistics
Case Study-1
Weeks Employed
Weeks Employed
37.75
18.6875
Standard Error
2.974195
Standard Error
2.188452
Median
Median
18.5
Standard Deviation
11.89678
Standard Deviation
8.753809
Sample Variance
141.5333
Sample Variance
76.62917
Kurtosis
-1.17143
Kurtosis
-0.21626
Skewness
0.337402
Skewness
0.522601
Range
Range
Minimum
Minimum
Maximum
Maximum
Count
Count
Confidence Level(99.0%)
8.764138
Confidence Level(99.0%)
6.44877
b. 99% confidence interval estimate for mean age of newly hired employees;
37.75 ÐÐŽV 8.76 = 28.99
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 RiversideÐЎЦs 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.
Textbook Exercise 7.6, The Trash Bag Case
Text Problem 7.6:
mean =
50.575
std dev. =
1.6438
95% =
0.509408783
50.06559122
51.08440878
Essay About Confidence Level And Age Weeks
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Latest Update: April 16, 2021
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