Question

In: Statistics and Probability

Michael, a manager at a local paper distribution company, is evaluating the effectiveness of his sales...

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

Solutions

Expert Solution


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


Related Solutions

A sales manager for a company is concerned about possible differences in the popularity of his...
A sales manager for a company is concerned about possible differences in the popularity of his product in Western and Eastern Canada. In order to develop a marketing strategy, a survey of possible customers was conducted in each of these regions. West (x) Sample Size 600, Number who prefer the product 283 East (y) Sample Size 550, Number who prefer the product 218 (a) Is the product's popularity different for these two regions? Test at a = 0.05. (b) Estimate...
NBA players ~ Michael wants to investigate whether the distribution of his classmates’ favorite NBA players...
NBA players ~ Michael wants to investigate whether the distribution of his classmates’ favorite NBA players of all time is different from the one reported by NBA. He randomly surveys his classmates. The table below contains the percentages reported by NBA and the observed counts from his random sample. Player LeBron James Kobe Bryant Steph Curry Michael Jordan Others NBA Percentages 20% 30% 15% 19% 16% Observed Counts 23 28 10 15 11 Michael conducts the appropriate hypothesis test. If,...
I am a Performance Coach and Sales Manager for an insurance company working specifically with local offices.
critically analysis the passage belowI am a Performance Coach and Sales Manager for an insurance company working specifically with local offices. I am mainly responsible for achieving targets for sales growth by coming up with strategies, tactics, profit targets and sales plans for obtaining new customers via networking. The current design of my job is a top-down approach. I report to my Director who then reports to the Assistant Vice President and so on. My director has goals that are...
Comment on the importance of using flexible budgets in evaluating the performance of the sales manager
Comment on the importance of using flexible budgets in evaluating the performance of the sales manager
A company is evaluating the effectiveness of two different training programs to speed up the production...
A company is evaluating the effectiveness of two different training programs to speed up the production process.   The employees were placed into three groups and their assembly times were recorded in minutes. No Training Training Method 1 Training Method 2 44 48 38 47 52 35 43 43 42 51 39 47 57 49 40 42 41 38 50 37 36 46 40 39 44 45 35 45 41 Test the hypothesis at the .01 level that there is no difference...
A local grocery store wants to predict the monthly sales in dollars. The manager believes that...
A local grocery store wants to predict the monthly sales in dollars. The manager believes that the amount of newspaper advertising significantly affects the store sales. The manager randomly selects 10 months of data consisting of monthly grocery store sales (in thousands of dollars) and advertising expenditures (in thousands of dollars). See the following data: If the advertising expenditures increase by one thousand of dollars, estimate the average increase in sales with 95% confidence. The next month, the grocery store...
What kind of information would a manager get from monitoring his Sales discounts and Sales R&A?...
What kind of information would a manager get from monitoring his Sales discounts and Sales R&A? How would his decision making be affected?
Suppose you are the manager of a small, local diner. You have been studying the sales...
Suppose you are the manager of a small, local diner. You have been studying the sales data of your restaurant over the past year. You have managed to identify two groups of            consumers who frequent your establishment and have cross-referenced their orders with historical data. You have jotted down the following notes to yourself:                         Hamburger French Fries Group 1 Maximum Valuation $3.00 $1.00 Group 2 Maximum Valuation $2.50 $2.00 Currently, you sell your products a la carte (separately...
The operations manager for an auto supply company is evaluating the potential purchase of a new...
The operations manager for an auto supply company is evaluating the potential purchase of a new machine for the production of a transmission component.   Current manufacturing costs are fixed costs of $11,000 and a variable cost of $0.50 per unit.  The new machine would have fixed cost of $4,000 and a variable cost of $0.75 per unit. Each component is sold for $1.50 per unit. a.  Develop two separate models in your spreadsheet to calculate Total Profit for each option. (8 pts)             The...
The sales manager of a potato chip manufacturing company ltd noticed that the sales of a...
The sales manager of a potato chip manufacturing company ltd noticed that the sales of a winning brand have been declining two months in a row. He interpreted the problem as ‘ineffective advertising’. He instructed the marketing researcher to investigate the efficiency of the advertising campaign. The researcher conducted an exploratory research and discovered that the retailer support had declined because of new competitive quality products which provided higher value and profit margins on sales. Retailers are therefore making more...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT