see below 6 questions
1.) Two teams of workers assemble automobile engines at a manufacturing plant in Michigan. A random sample of 145 assemblies from team 1 shows 15 unacceptable assemblies. A similar random sample of 125 assemblies from team 2 shows 8 unacceptable assemblies. Is there sufficient evidence to conclude, at the 10% significance level, that the two teams differ with respect to their proportions of unacceptable assemblies?
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A .No, since the test value exceeds the critical value |
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B .No, since the test value does not exceed the critical value |
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C .No, since the p-value is less than 0.10 |
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D .Yes, since the p-value is greater than 0.10
Correct answer is_____?_____
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2.) A field researcher is gathering data on the trunk diameters of mature pine and spruce trees in a certain area. The following are the results of his random sampling. Can he conclude, at the 0.10 level of significance, that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree?
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Pine trees |
Spruce trees |
|
Sample size |
25 |
35 |
|
Mean trunk diameter (cm) |
55 |
48 |
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Sample variance |
100 |
140 |
What is the test value for this hypothesis test? Test value:___?______ Round your answer to three decimal places. What is the critical value? Critical value:___?_______ Round your answer to three decimal places.
3.) The marketing manager of a large supermarket chain would like to determine the effect of shelf space (in feet) on the weekly sales of international food (in hundreds of dollars). A random sample of 12 equal –sized stores is selected, with the following results:
|
Store |
Shelf Space(X) |
Weekly Sales(Y) |
|
1 |
10 |
2.0 |
|
2 |
10 |
2.6 |
|
3 |
10 |
1.8 |
|
4 |
15 |
2.3 |
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5 |
15 |
2.8 |
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6 |
15 |
3.0 |
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7 |
20 |
2.7 |
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8 |
20 |
3.1 |
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9 |
20 |
3.2 |
|
10 |
25 |
3.0 |
|
11 |
25 |
3.3 |
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12 |
25 |
3.5 |
Using the equation of the regression line for these data, predict the average weekly sales (in hundreds of dollars) of international food for stores with 13 feet of shelf space for international food.
Place your answer, rounded to 3 decimal places, in the blank. Do not use a dollar sign. For example, 2.345 would be a legitimate entry______?_____
4.) Data for a sample of 25 apartments in a particular neighborhood are provided in the worksheet Apartments in the Excel workbook Apartments.xlsx. Using the estimated regression equation found by using size as the predictor variable, find a point estimate for the average monthly rent for apartments having 1,000 square feet of space. Place your answer, rounded to the nearest whole dollar, in the blank.____?______ When entering your answer do not use any labels or symbols. Simply provide the numerical value. For example, 123 would be a legitimate entry.
5.) Q-Mart is interested in comparing its male and female customers. Q-Mart would like to know if the amount of money spent by its female charge customers differs, on average, from the amount spent by its male charge customers. To answer this question, an analyst collected random samples of 25 female customers and 22 male customers.
Based on these samples, on average, the 25 women charge customers spent $102.23 and the 22 men charge customers spent $86.46. Moreover, the sample standard deviation of the amount charged by the 25 women was $93.393, and the sample standard deviation of the amount charged by the 22 men was $59.695.
Suppose, using a 10% level of significance, you wish to know if there is sufficient evidence for Q-Mart to conclude that, on average, the amount spent by women charge customers differs from the amount spent by men charge customers. That is suppose you wish to test
H0: versus H1:
Assuming that the amounts spent by male and female charge customers at Q-Mart are normally distributed, based on the procedure advocated by Bluman, what is the test value that you would use to conduct this test of hypothesis? Place your answer, rounded to 3 decimal places, in the blank._________? ____
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RentSize
950850
16001450
12001085
15001232
950718
17001485
16501136
935726
875700
1150956
14001100
16501285
23001985
18001369
14001175
14501225
11001245
17001259
12001150
1150896
16001361
16501040
1200755
8001000
17501200
Apartments
| Rent | Size |
| 950 | 850 |
| 1600 | 1450 |
| 1200 | 1085 |
| 1500 | 1232 |
| 950 | 718 |
| 1700 | 1485 |
| 1650 | 1136 |
| 935 | 726 |
| 875 | 700 |
| 1150 | 956 |
| 1400 | 1100 |
| 1650 | 1285 |
| 2300 | 1985 |
| 1800 | 1369 |
| 1400 | 1175 |
| 1450 | 1225 |
| 1100 | 1245 |
| 1700 | 1259 |
| 1200 | 1150 |
| 1150 | 896 |
| 1600 | 1361 |
| 1650 | 1040 |
| 1200 | 755 |
| 800 | 1000 |
| 1750 | 1200 |