Maurice Tutor
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IMPORTANT:
Showing your work and how you reached the answer is critical in receiving your grade...simply putting down values as the final answer will not earn you any points.
Week 4 LT Assignments
1. The following hypotheses are given.
H0: p = .40
H1: p ? .40
A sample of 120 observations revealed that p = .30. At the .05 significance level, can the null hypothesis be rejected?
a. State the decision rule.
b. Compute the value of the test statistic.
c. What is your decision regarding the null hypothesis?
1.value:
1.00 points
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The production department of Celltronics International wants to explore the relationship between the number of employees who assemble a subassembly and the number produced. As an experiment, 3 employees were assigned to assemble the subassemblies. They produced 14 during a one-hour period. Then 5 employees assembled them. They produced 23 during a one-hour period. The complete set of paired observations follows. |
| Number of Assemblers |
One-Hour Production (units) |
| 3 | 14 |
| 5 | 23 |
| 2 | 9 |
| 6 | 39 |
| 4 | 30 |
|
The dependent variable is production; that is, it is assumed that different levels of production result from a different number of employees. |
Click here for the Excel Data File
| b. |
A scatter diagram is provided below. Based on it, does there appear to be any relationship between the number of assemblers and production? |
| Â |  |
| Â | (Click to select)NoYes , as the number of assemblers (Click to select)decreasesincreases, so does the production. |
| c. |
Compute the correlation coefficient. (Negative amounts should be indicated by a minus sign. Round sx, sy and r to 3 decimal places.) |
| X | Y |  |
 |
( )2 |
( )2 |
( )( ) |
|||||||||||||||||||
| 3 | 14 | Â | -9 | Â | 81 | Â | |||||||||||||||||||
| 5 | 23 | 1 | Â | 1 | Â | 0 | |||||||||||||||||||
| 2 | 9 | Â | -14 | Â | 196 | Â | |||||||||||||||||||
| 6 | 39 | 2 | Â | 4 | Â | 32 | |||||||||||||||||||
| 4 | 30 | Â | 7 | 0 | Â | 0 | |||||||||||||||||||
| Â | Â | Â | Â | Â | Â | Â | |||||||||||||||||||
2.value: 1.00 points
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 |
= | Â |  |
= | Â | sx | = | Â |
| sy | = | Â | Â | r | = | Â |
ReferenceseBook & ResourcesWorksheet
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3.value:
10.00 points
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Bi-lo Appliance Super-Store has outlets in several large metropolitan areas in New England. The general sales manager aired a commercial for a digital camera on selected local TV stations prior to a sale starting on Saturday and ending Sunday. She obtained the information for Saturday–Sunday digital camera sales at the various outlets and paired it with the number of times the advertisement was shown on the local TV stations. The purpose is to find whether there is any relationship between the number of times the advertisement was aired and digital camera sales. The pairings are: |
| Location of | Number of | Saturday–Sunday Sales |
| TV Station | Airings | ($ thousands) |
| Providence | 4 | 15 |
| Springfield | 2 | 8 |
| New Haven | 5 | 21 |
| Boston | 6 | 24 |
| Hartford | 3 | 17 |
|
|
| a. | What is the dependent variable? |
| Â | Â |
| Â | (Click to select)SalesNumber of advertisements is the dependent variable. |
| c. | Determine the correlation coefficient. (Round your answer to 2 decimal places.) |
| Coefficient of correlation | Â |
| d. | Interpret these statistical measures. |
| The statistical measures obtained here indicate (Click to select)a strong negativea strong positive correlation between the variables. |
4.value:
10.00 points
|
The owner of Maumee Ford-Mercury-Volvo wants to study the relationship between the age of a car and its selling price. Listed below is a random sample of 12 used cars sold at the dealership during the last year. |
| Car | Age (years) | Selling Price ($000) | Car | Age (years) | Selling Price ($000) |
| 1 | 9 | 8.1 | 7 | 8 | 7.6 |
| 2 | 7 | 6.0 | 8 | 11 | 8.0 |
| 3 | 11 | 3.6 | 9 | 10 | 8.0 |
| 4 | 12 | 4.0 | 10 | 12 | 6.0 |
| 5 | 8 | 5.0 | 11 | 6 | 8.6 |
| 6 | 7 | 10.0 | 12 | 6 | 8.0 |
Click here for the Excel Data File
| a. |
If we want to estimate selling price on the basis of the age of the car, which variable is the dependent variable and which is the independent variable? |
| Â | Â |
| Â | (Click to select)Selling priceCarAge is the independent variable and (Click to select)selling priceagecar is the dependent variable. |
| b-1. |
Determine the correlation coefficient. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.) |
| X | Y |  |
 |
( )2 |
( )2 |
( )( ) |
| 9.0 | 8.1 | Â | 1.192 | 0.007 | 1.420 | 0.099 |
| 7.0 | 6.0 | Â | -0.908 | 3.674 | 0.825 | 1.741 |
| 11.0 | 3.6 | 2.083 | Â | 4.340 | 10.945 | -6.892 |
| 12.0 | 4.0 | 3.083 | Â | 9.507 | 8.458 | -8.967 |
| 8.0 | 5.0 | -0.917 | -1.908 | Â | 3.642 | 1.749 |
| 7.0 | 10.0 | -1.917 | 3.092 | Â | 9.558 | -5.926 |
| 8.0 | 7.6 | -0.917 | 0.692 | 0.840 | Â | -0.634 |
| 11.0 | 8.0 | 2.083 | 1.092 | 4.340 | Â | 2.274 |
| 10.0 | 8.0 | 1.083 | 1.092 | 1.174 | 1.192 | Â |
| 12.0 | 6.0 | 3.083 | -0.908 | 9.507 | 0.825 | Â |
| 6.0 | 8.6 | -2.917 | 1.692 | 8.507 | 2.862 | -4.934 |
| 6.0 | 8.0 | -2.917 | 1.092 | 8.507 | 1.192 | -3.184 |
| 107.000 | 82.900 | Â | Â | Â | Â | Â |
 |
= | Â |  |
= | Â | sx | = | Â | sy | = | Â |
| r | = | Â |
| b-2. | Determine the coefficient of determination. (Round your answer to 3 decimal places.) |
| Â | Â |
| Â | Â |
| c. |
Interpret the correlation coefficient. Does it surprise you that the correlation coefficient is negative? (Round your answer to nearest whole number.) |
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| Â | Â | ||||
| Â | (Click to select)StrongNoModerate correlation between age of car and selling price. So, % of the variation in the selling price is explained by the variation in the age of the car. 5.value: 10.00 points
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Click here for the Excel Data File