Set of null and alternative hypothesis


Salary information regarding male and female employees of a large company is shown below.


Male

Female

Sample Size

64

36

Sample Mean Salary (in 1,000)

44

41

Sample Standard Deviation

128

72

  1. What is the set of null and alternative hypothesis if we want to determine whether the mean salary of male and female employees 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 if the degrees of freedom (df) for this test is given to be df = 97?
  3. Calculate the t statistic
  4. Based on the above, what is the conclusion of this statistical test?

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Basic Statistics: Set of null and alternative hypothesis
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