The management of XYC Inc. wants to determine whether
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The management of XYC Inc. wants to determine whether

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?

Hint
StatisticsThe null hypothesis is a type of hypothesis that is used in the statistics which proposes that no statistical significance exists in a set of given observations and also attempts to show that no variation exists between the variables or that a single variable is no different than its mean. It is also presumed to be true until statistical evidence nullifies it for an alternative hypothesi...

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