Question 2
The management of XYC Inc. wants to determine whether there is a significant difference in the average length of time (in minutes) employees spent on Emails every day within its two operating divisions. The following data has been accumulated for this test. The degrees of freedom (df) for this problem are given to be df = 76.
|
Division 1 |
Division 2 |
Sample Mean |
46.8 |
63.3 |
Sample Standard Deviation |
10 |
20 |
Sample Size |
51 |
41 |
1. What is the set of null and alternative hypothesis if we want to determine whether the average length of time employees spent on Emails within its two operating divisions is the same?
2. Using a level of significance of 0.05, what is the rejection rule for this test using the critical value approach?
3. Calculate the t statistic.
4. Based on the above, what is the conclusion of this statistical test if the level of significance is 0.05?
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