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The management of ABC Ltd. wants to determine whether there is a significant difference in the average length of time (in minutes) employees spent on social media every day within its two regions. The following data has been accumulated for this test:
Region 1
Region 2
Sample Mean
22.5
16.4
Sample Standard Deviation
10.5
12.3
Sample Size
44
43
1. What are the null and alternative hypothesis if we want to determine whether the average length of time employees spent on social media every day within its two regions is different?
2. Calculate the t statistic.
3. Using a level of significance of 0.05, what is the rejection rule for this test using the critical value approach? The degrees of freedom (df) for this problem has been calculated and is equal to 82.
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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