Hypothesis Testing for Two Population Means Using Independent Samples (Case 1 and 2) A company, in its aim to promote healthy lifestyle among its employees, asked 45 male and 65 to try out a certain exercise routine. Records show that both groups reduced weights after the try out period. The male employees have an average weight reduction of 5 kg with 1.2 kg standard deviation. While the female employees have an average weight reduction of 4.2 kg with 1.3 kg standard deviation. Test the hypothesis that the ?male = ?female against the alternative ?male 5% level of significance. Step 1: Null and Alternative Hypothesis Ho: Ha: Step 2: Level of Significance and appropriate test statistic Step 3: Determine the Critical Region ≠ ?female at Step 4: Compute the z-value Computations: ? = (?̅1 − ?̅2) − 0 ?2 ?2 √1+2 ?1 ?2 Step 5: Decide whether to accept or reject Ho. Step 6: Conclusion
Hypothesis Testing for Two Population Means Using Independent Samples (Case 1 and 2)
A company, in its aim to promote healthy lifestyle among its employees, asked 45 male and 65 to try out a certain exercise routine. Records show that both groups reduced weights after the try out period. The male employees have an average weight reduction of 5 kg with 1.2 kg standard deviation. While the female employees have an average weight reduction of 4.2 kg with 1.3 kg standard deviation. Test the hypothesis that the ?male = ?female against the alternative ?male
5% level of significance.
Step 1: Null and Alternative Hypothesis
Ho:
Ha:
Step 2: Level of Significance and appropriate test statistic Step 3: Determine the Critical Region
≠ ?female at
Step 4: Compute the z-value
Computations:
? = (?̅1 − ?̅2) − 0
?2 ?2 √1+2 ?1 ?2
Step 5: Decide whether to accept or reject Ho.
Step 6: Conclusion
Trending now
This is a popular solution!
Step by step
Solved in 6 steps
