Statistics
Case Study-1

Age Weeks Employed
55 21
30 18
23 11
52 36
41 19
25 12
42 7
45 25
25 6
40 21
25 13
25 11
59 34
49 27
33 18
35 20

a.
Age Weeks Employed
Mean 37.75 Mean 18.6875
Standard Error 2.974195 Standard Error 2.188452
Median 37.5 Median 18.5
Mode 25 Mode 21
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 36 Range 30
Minimum 23 Minimum 6
Maximum 59 Maximum 36
Sum 604 Sum 299
Count 16 Count 16
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 ¡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......

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Title: Statistics Case Study 1
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