Hypothesis Testing for Two Population Means Using Independent Samples (Case 3) An analyst carries out 10 analyzes on equal masses of a substance which is found to contain a mean of 49.20 grams of a metal, with a standard deviation of 0.41 grams. A trainee operator carries out 12 analyzes on equal masses of the same substance which is found to contain a mean of 49.30 grams, with a standard deviation of 0.32 grams. Is there a significant difference between the results of the two operators? Use a significance level of 0.05. (Note: The two operators analyze same substances, meaning the same population standard deviation.) Step 1: Null and Alternative Hypothesis Ho: Ha: Step 2: Level of Significance and appropriate test statistic Step 3: Determine the Critical Region Step 4: Compute the t-value Computations: Step 5: Decide whether to accept or reject Ho. ? = (?̅1 − ?̅2) − 0 √?2 ( 1 + 1 ) ? ?1 ?2 Step 6: Conclusion
Hypothesis Testing for Two Population Means Using Independent Samples (Case 3)
An analyst carries out 10 analyzes on equal masses of a substance which is found to contain a mean of 49.20 grams of a metal, with a standard deviation of 0.41 grams. A trainee operator carries out 12 analyzes on equal masses of the same substance which is found to contain a mean of 49.30 grams, with a standard deviation of 0.32 grams. Is there a significant difference between the results of the two operators? Use a significance level of 0.05. (Note: The two operators analyze same substances, meaning the same population standard deviation.)
Step 1: Null and Alternative Hypothesis
Ho:
Ha:
Step 2: Level of Significance and appropriate test statistic
Step 3: Determine the Critical Region
Step 4: Compute the t-value
Computations:
Step 5: Decide whether to accept or reject Ho.
? = (?̅1 − ?̅2) − 0 √?2 ( 1 + 1 )
? ?1 ?2
Step 6: Conclusion
Step by step
Solved in 3 steps
