see below 6 questions

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6_questions.docx

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?

A .No, since the test value exceeds the critical value

B .No, since the test value does not exceed the critical value

C .No, since the p-value is less than 0.10

D .Yes, since the p-value is greater than 0.10

Correct answer is_____?_____

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?

 

Pine trees

Spruce trees

Sample size

25

35

Mean trunk diameter (cm)

55

48

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

5

15

2.8

6

15

3.0

7

20

2.7

8

20

3.1

9

20

3.2

10

25

3.0

11

25

3.3

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 $59.695. Suppose, using a 10% level of significance, you wish to know if there is sufficient evidence for Q-Mart to conclude that, on average, the amount spent by women charge customers differs from the amount spent by men charge customers. That is suppose you wish to test H0: f$mu _{W} = mu _{M}f$  versus  H1: f$mu _{W}  eq mu _{M}f$ 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._________? ____

6.) In conducting hypothesis testing for difference between two means when samples are dependent (paired samples), the variable under consideration is f$ar{D}f$ ; the sample mean difference between the pairs.

True

False

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

Sheet3