Keller MATH 533 Course Project Part B, Hypothesis Testing

Keller MATH 533 Course Project Part B, Hypothesis Testing. Keller MATH 533 Course Project Part B, Hypothesis TestingRequirement A: The average (mean) sales per week exceeds 41.5 per salesperson. Key Statistics as computed by Minitab Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 SALES 100 0 42.340 0.417 4.171 32.000 39.250 42.000 45.000 N for Variable Maximum Range IQR Mode Mode SALES 52.000 20.000 5.750 44 12 Step 1 Hypotheses Ho: μ = 41.5 Ha: μ > 41.5 Step 2 Level of Significance The assumed standard deviation = 4.171 Variable N Mean StDev SE Mean 95% CI SALES 100 42.340 4.171 0.417 (41.522, 43.158) Step 4 Decision Rule The alternative hypothesis states that mean sales per week exceeds 41.5 this is a one tailed test to the right. The given a = .05 is to the right of Z = 1.645. Thus we reject the null hypothesis if the Z > 1.645. If the p value is less than the a = .05 then reject the null hypothesis. Step 5 Decision Making The 100 salespersons average mean is 42.34. The computed, using Minitab, Z score = 2.01. The computed score is greater than 1.645, reject the null hypothesis. We can be 95% confident that the average sales per week ca will fall within the 95% Confidence Interval (CI) of 41.522, 43.158. As a manager you can expect a preforming salesperson to achieve Step 2 Level of Significance The a = 0.05 is given. Step 3 Identify the statistical test to use. Use 1 Proportion because StDev is known and the sample (n=50) is a large sample (n > 30).