In: Statistics and Probability
Michael, a manager at a local paper distribution company, is evaluating the effectiveness of his sales team. Based on company-wide information, he knows that the mean number of reams of paper sold in a quarter is µ = 127 with a standard deviation of σ = 30.66. Michael thinks his salespersons are more effective than the population of salespersons in the company. Based on his sample n = 12 salespersons, what would he conclude about the effectiveness of his team? Below is the data Michael collected (in number of reams sold). QUESTION 17 Is Michael's test a one-tailed or two-tailed test? One-tailed Two-tailed QUESTION 18 What is the critical value if Michael uses an alpha level of α = .01 -2.33 1.64 2.33 ±1.96 QUESTION 19 Compute the appropriate test statistic given the scenario's conditions. What is that statistic's value? -2.29 -0.66 106.75 +2.29 QUESTION 20 Based on the test statistic, would Michael rejects or retains the null hypothesis (H0)? What would he conclude about his salepersons' effectiveness during the quarter? Retain Null Hypothesis (H0); There is insufficient evidence that Michael's sales team performed better than the rest of the company's salespersons. Reject Null Hypothesis (H0); Michael's sales team performed better than the rest of the company's salespersons. QUESTION 21 What is the value of a Cohen's d effect size measure for Michael's data? -0.66 30.66 +0.66 3.48
QUESTION 17 Is Michael's test a one-tailed or two-tailed
test?
One-tailed
QUESTION 18 What is the critical value if Michael uses
an alpha level of α = .01
2.33
QUESTION 19 Compute the appropriate test statistic given
the scenario's conditions. What is that statistic's
value?
-2.29
QUESTION 20 Based on the test statistic, would Michael
rejects or retains the null hypothesis (H0)?
What would he conclude about his salepersons' effectiveness during
the quarter?
Retain Null Hypothesis (H0); There is insufficient evidence that
Michael's sales team performed better than the rest of the
company's salespersons.
QUESTION 21 What is the value of a Cohen's d effect size
measure for Michael's data?
-0.66