I only need the answers.

Question 1

Two major automobile manufacturers have produced compact cars with the same size engines. We are interested in determining whether or not there is a significant difference in the MPG (miles per gallon) of the two brands of automobiles. A random sample of eight cars from each manufacturer is selected, and eight drivers are selected to drive each automobile for a specified distance. The following data show the results of the test.

Driver Manufacturer A Manufacturer B

1 30 24

2 27 22

3 28 33

4 28 24

5 25 26

6 29 25

7 23 30

8 25 27

Refer to table above. The mean for the differences is

Question 1 options:

a) -0.4

b) 1.2

c) 2.7

d) -1.3

e) 0.8

f) 0.9

g) 3.2

h) 1.8

i) -1.4

j) 0.0

k) 0.5

Question 2

When each data value in one sample is matched with a corresponding data value in another sample, the samples are known as

Question 2 options:

a) corresponding samples

b) matched samples

c) independent samples

d) None of these alternatives is correct.

Question 3

To compute an interval estimate for the difference between the means of two populations, the t distribution

Question 3 options:

a) is restricted to small sample situations

b) is not restricted to small sample situations

c) can be applied when the populations have equal means

d) None of these alternatives is correct.

Question 4

You are given two independent random samples from two populations.

For Sample #1, there are 60 observations, the sample mean is 33.8 and you are given that the populationstandard deviation is 5.5

For Sample #2, there are 35 observations, the sample mean is 31.8 and you are given that the populationstandard deviation is 4.1

You are asked to test the null hypothesis that the two population have the same mean (the difference in population means is 0).

What is the value of the test statistic for this hypothesis?

Question 4 options:

2.090

2.344

1.922

1.892

2.122

2.016

1.960

1.645

2.244

1.877

2.565

Question 5

You are given two independent random samples from two populations.

For Sample #1, there are 60 observations, the sample mean is 33.8 and you are given that the populationstandard deviation is 5.5

For Sample #2, there are 35 observations, the sample mean is 31.8 and you are given that the populationstandard deviation is 4.1

You are asked to test the null hypothesis that the two population have the same mean (the difference in population means is 0).

Given this date, which of the following statements is correct

Question 5 options:

We cannot reject the null hypothesis at the 10% level

We can reject the null hypothesis at the 10% level, but not at the 5% level

We can reject the null hypothesis at the 5% level, but not at the 1% level

We can reject the null hypothesis at the 1% level

We cannot reject the null hypothesis at any level

Question 6

Assuming that the sample sizes from each of two populations is sufficiently large, the sampling distribution of is approximated by a

Question 6 options:

a) normal distribution

b) t-distribution with n1 + n2 degrees of freedom

c) t-distribution with n1 + n2 - 1 degrees of freedom

d) t-distribution with n1 + n2 + 2 degrees of freedom

Question 7

You have been hired to test whether the demand for a product that your client produces varies between two demographic markets - the Urban and Rural markets.

As such, in each market, you run a short survey that gauges customers demand for your product and assigns them to one of three categories - (i) High (ii) Medium or (iii) Low.

You survey 60 people in the "Urban" market and find that their demand falls into the following "buckets"

High 21

Medium 18

Low 21

You survey 40 people in the "Rural" market time. Their demand for the product is reflected below.

High 19

Medium 12

Low 9

The Null hypothesis that you are asked to test is that "the demand for the product is INDEPENDENT of the whether the market is Urban or Rural".

Under this null hypothesis, what is the EXPECTED NUMBER OF PEOPLE THAT WILL ANSWER "HIGH" in the URBAN Market?

Question 7 options:

1. 48
2. 32
3. 22
4. 20
5. 28
6. 36
7. 16
8. 24
9. 9
10. 30
11. 21
12. 18
13. 24
14. 53
15. 42
16. 26

Question 8

You have been hired to test whether the demand for a product that your client produces varies between two demographic markets - the Urban and Rural markets.

As such, in each market, you run a short survey that gauges customers demand for your product and assigns them to one of three categories - (i) High (ii) Medium or (iii) Low.

You survey 120 people in the "Urban" market and find that their demand falls into the following "buckets"

High 48

Medium 36

Low 42

You survey 80 people in the "Rural" market time. Their demand for the product its reflected below.

High 38

Medium 24

Low 18

The Null hypothesis that you are asked to test is that "the demand for the product is INDEPENDENT of the whether the market is Urban or Rural."

Under this null hypothesis, what is the EXPECTED NUMBER OF PEOPLE THAT WILL ANSWER "LOW" in the RURAL Market?

Question 8 options:

1. 16
2. 15
3. 20
4. 5
5. 36
6. 46
7. 12
8. 22
9. 32
10. 17
11. 21
12. 4
13. 14
14. 9
15. 9
16. 24

Question 9

You have been hired to test whether the demand for a product that your client produces varies between two demographic markets - the Urban and Rural markets.

As such, in each market, you run a short survey that gauges customers demand for your product and assigns them to one of three categories - (i) High (ii) Medium or (iii) Low.

You survey 60 people in the "Urban" market and find that their demand falls into the following "buckets"

High 21

Medium 18

Low 21

You survey 40 people in the "Rural" market time. Their demand for the product is reflected below.

High 19

Medium 12

Low 9

The Null hypothesis that you are asked to test is that "the demand for the product is INDEPENDENT of the whether the market is Urban or Rural."

CALCULATE THE TEST STATISTIC FOR THE NULL HYPOTHESIS ABOVE

Enter that answer below as a number with two significant decimal places (such as 8.94 or 2.34 or 213.45)

Your Answer:

Question 9 options:

Answer

Question 10 (1 point)

Listen

You have been hired to test whether the demand for a product that your client produces varies between two demographic markets - the Urban and Rural markets.

As such, in each market, you run a short survey that gauges customers demand for your product and assigns them to one of three categories - (i) High (ii) Medium or (iii) Low.

You survey 60 people in the "Urban" market and find that their demand falls into the following "buckets"

High 21

Medium 18

Low 21

You survey 40 people in the "Rural" market time. Their demand for the product is reflected below.

High 19

Medium 12

Low 9

The Null hypothesis that you are asked to test is that "the demand for the product is INDEPENDENT of the whether the market is Urban or Rural."

For the hypothesis and date above, what is the correct number of degrees of freedom for the Chi-Square distribution?

Question 10 options:

1. 32
2. 12
3. 2
4. 4
5. 10
6. 70
7. 9
8. 3
9. 6
10. 30
11. 50
12. 5
13. 1

Question 11

You have been hired to test whether the demand for a product that your client produces varies between two demographic markets - the Urban and Rural markets.

As such, in each market, you run a short survey that gauges customers demand for your product and assigns them to one of three categories - (i) High (ii) Medium or (iii) Low.

You survey 60 people in the "Urban" market and find that their demand falls into the following "buckets"

High 21

Medium 18

Low 21

You survey 40 people in the "Rural" market time. Their demand for the product is reflected below.

High 19

Medium 12

Low 9

The Null hypothesis that you are asked to test is that "the demand for the product is INDEPENDENT of the whether the market is Urban or Rural."

Assuming that you can tolerate no more than a 5% probability of a Type I error ("p" no larger than 0.05), what is the critical value for the Chi-Square test of the above hypothesis?

Question 11 options:

1. 5.024
2. 3.841
3. 2.833
4. 7.815
5. 2.706
6. 7.378
7. 11.143
8. 6.251
9. 2.204
10. 5.991
11. 1.696

Question 12

You have been hired to test whether the demand for a product that your client produces varies between two demographic markets - the Urban and Rural markets.

As such, in each market, you run a short survey that gauges customers demand for your product and assigns them to one of three categories - (i) High (ii) Medium or (iii) Low.

You survey 60 people in the "Urban" market and find that their demand falls into the following "buckets"

High 21

Medium 18

Low 21

You survey 40 people in the "Rural" market time. Their demand for the product is reflected below.

High 19

Medium 12

Low 9

The Null hypothesis that you are asked to test is that "the demand for the product is INDEPENDENT of the whether the market is Urban or Rural."

Using the critical values for the 5% and 1% levels of the Chi-Square Distribution from your text, which of the following statements is true

Question 12 options:

We can reject the null hypothesis at the 5% level.

We cannot reject the null hypothesis at the 5% or 1% level

We can reject the null hypothesis at both the 5% and the 1% levels.

We can reject the null hypothesis at the 1% level.

Question 13 (Mandatory) (1 point)

Listen

An important application of the chi-square distribution is

Question 13 options:

a) making inferences about a single population variance

b) testing for goodness of fit

c) testing for the independence of two variables

d) All of these alternatives are correct.

Question 14

In order not to violate the requirements necessary to use the chi-square distribution, each expected frequency in a goodness of fit test must be

Question 14 options:

a) at least 5

b) at least 10

c) no more than 5

d) less than 2

Question 15

A statistical test conducted to determine whether to reject or not reject a hypothesized probability distribution for a population is known as a

Question 15 options:

a) contingency test

b) probability test

c) goodness of fit test

d) None of these alternatives is correct.