Question 1 When Chi-square distribution is used as a test of independence, the n

Question

Question 1

When Chi-square distribution is used as a test of independence, the number of degrees of freedom is related to both the number of rows and the number of columns in the contingency table.

Select one: True / False

Question 2

A goodness of fit test can be used to determine if membership in categories of one variable is different as a function of membership in the categories of a second variable

Select one: True / False

Question 3

To use Chi-square distribution in goodness of fit test, all observed frequecies have to be at least 5.

Select one: True / False

Question 4

Assume a random sample is selected and you were asked to determine whether the data came from a normally distributed population. Your states hypotheses would be:

H0:The population does not have normal distribution.

Ha:The population has a normal distribution.

Select one: True / False

Question 5

How well do airline companies serve their customers? A study showed the following customer ratings: 3% excellent, 28% good, 45% fair, and 24% poor. In a follow-up study of service by telephone companies, assume that a sample of 400 adults found the following customer ratings: 24 excellent, 124 good, 172 fair, and 80 poor. Is the distribution of the customer ratings for telephone companies different from the distribution of customer ratings for airline companies? State the appropriate null and alternative hypothesis.

Select one:

a. H0: Distribution of customer rating for telephone companies is not different that airline companies. AND Ha: Distribution of customer rating for telephone companies is different that airline companies

b. H0:Distribution of customer rating for telephone companies is different that airline companies. AND Ha:Distribution of customer rating for telephone companies is not different that airline companies

c. H0:Distribution of customer rating for telephone companies is independent of airline companies. AND Ha:Distribution of customer rating for telephone companies is dependent of airline companies

d. H0:Distribution of customer rating for telephone companies is dependent of airline companies. AND Ha:Distribution of customer rating for telephone companies is independent of airline companies

Question 6

How well do airline companies serve their customers? A study showed the following customer ratings: 3% excellent, 28% good, 45% fair, and 24% poor. In a follow-up study of service by telephone companies, assume that a sample of 400 adults found the following customer ratings: 24 excellent, 124 good, 172 fair, and 80 poor. Is the distribution of the customer ratings for telephone companies different from the distribution of customer ratings for airline companies? Calculate the appropriate test statistic

Select one:

A. 12.3556

B. 11.345

C. 10.7334

D. 16.3079

Question 7

How well do airline companies serve their customers? A study showed the following customer ratings: 3% excellent, 28% good, 45% fair, and 24% poor. In a follow-up study of service by telephone companies, assume that a sample of 400 adults found the following customer ratings: 24 excellent, 124 good, 172 fair, and 80 poor. Is the distribution of the customer ratings for telephone companies different from the distribution of customer ratings for airline companies? Assume alpha is 1%. Define the critical test statistic and specify your conclusion.

Select one:

Question 8

An instructor has been accused of sexual discrimination in grading, a serious charge. The dean takes a random sample of 150 grades posted by the instructor in the past and arrives at the results shown in the table.

Male Students

Female Students

Grade A

15

19

Grade B

21

15

Grade C

26

16

Grade D

9

14

Grade F

9

6

The Dean is willing to take only a 5% risk of incorrectly supporting the charge of sexual discrimination. Formulate an appropriate null and alternative hypotheses.

Select one:

A. H0:Student grade and gender are dependent evet. Discrimination exist. AND Ha: Student grade and gender are independent event. No discrimination exist

B. H0:Student grade and gender are independent evet. discrimination exist. AND Ha: Student grade and gender are dependent event. No discrimination exist

C. H0:Student grade and gender are independent evet. No discrimination exist. AND Ha: Student grade and gender are dependent event. Discrimination exist

D. H0:Student grade and gender are dependent evet. No discrimination exist. AND Ha: Student grade and gender are independent event. Discrimination exist

Question 9

An instructor has been accused of sexual discrimination in grading, a serious charge. The dean takes a random sample of 150 grades posted by the instructor in the past and arrives at the results shown in the table.

Male Students

Female Students

Grade A

15

19

Grade B

21

15

Grade C

26

16

Grade D

9

14

Grade F

9

6

The Dean is willing to take only a 5% risk of incorrectly supporting the charge of sexual discrimination. Calculate the appropriate test statistic.

Select one:

A. 4.8936

B. 2.2121

C. 23.9473

D. 4.628

Question 10

An instructor has been accused of sexual discrimination in grading, a serious charge. The dean takes a random sample of 150 grades posted by the instructor in the past and arrives at the results shown in the table.

Male Students

Female Students

Grade A

15

19

Grade B

21

15

Grade C

26

16

Grade D

9

14

Grade F

9

6

The Dean is willing to take only a 5% risk of incorrectly supporting the charge of sexual discrimination. Calculate the appropriate critical statistic.

Select one:

A. 11.070

B. 12.832

C. 11.143

D. 9.488

Male Students

Female Students

Grade A

15

19

Grade B

21

15

Grade C

26

16

Grade D

9

14

Grade F

9

6

X

Explanation / Answer

Question 1

When Chi-square distribution is used as a test of independence, the number of degrees of freedom is related to both the number of rows and the number of columns in the contingency table.

Answer: True

Question 2

A goodness of fit test can be used to determine if membership in categories of one variable is different as a function of membership in the categories of a second variable

Answer: False

Question 3

To use Chi-square distribution in goodness of fit test, all observed frequecies have to be at least 5.

Answer: True

Question 4

Assume a random sample is selected and you were asked to determine whether the data came from a normally distributed population. Your states hypotheses would be:

H0:The population does not have normal distribution.

Ha:The population has a normal distribution.

Answer: False

Question 5

How well do airline companies serve their customers? A study showed the following customer ratings: 3% excellent, 28% good, 45% fair, and 24% poor. In a follow-up study of service by telephone companies, assume that a sample of 400 adults found the following customer ratings: 24 excellent, 124 good, 172 fair, and 80 poor. Is the distribution of the customer ratings for telephone companies different from the distribution of customer ratings for airline companies? State the appropriate null and alternative hypothesis.

Answer: c. H0:Distribution of customer rating for telephone companies is independent of airline companies. AND Ha:Distribution of customer rating for telephone companies is dependent of airline companies

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