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cf_Week_9_Data-Set_HR_rev.xlsx

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Sample Number Performance Review Score Minimum 2.71
1 3.86 Maximum 4.25
2 3.22 Q 1 3.435
3 3.87 Q 2 3.59
4 4.25 Q 3 3.84
5 3.48
6 3.62
7 3.78
8 3.21
9 3.28
10 3.88
11 2.71
12 3.7
13 3.51
14 3.54 Student should Use t-test
15 3.29 Mean 3.58
16 3.45 Median 3.5900
17 3.18 Sample Standard Deviation 0.310135
18 3.48 n= 30
19 3.95 df= 29
20 3.93 Confidence Level= 0.95
21 3.59 t= 2.045
22 3.92 E= 0.115806
23 3.94 Confidence Interval Lower Limit 3.46653
24 3.59 Confidence Interval Upper Limit 3.6981
25 3.48 Null Hypothesis µ=3.5
26 3.33 Alternative Hypothesis µ>3.5
27 3.7 What type of Test Statistic did you use and why? Hint: We use a t-test if the population standard deviation is unknown and we use a z-test if the population standard deviation is known.
28 3.43
29 3.71
30 3.59
Conclusion: Is the claim supported? Why or why not? Hint: If the p-value is greater than the significance level, we fail to reject the null so there is not enough evidence to reject the hypothesis; we cannot support this claim. If the p-value is less than the significance level, we reject the null hypothesis so we can support this claim.
If student uses z-test; provide feedback and grade for content.
Hypothesis Test
Null Hyp: m = 3.5
= Alt Hyp: m > 3.5
significance level = 0.05
test statistic = 1.45407
< critical value = 1.69913
> p-value = 0.07833
Since 0.0783326882 > 0.05 we fail to reject the null: m = 3.5