1aChisquare test of Goodnessoffit can be used to test if ave

1a.Chi-square test of Goodness-of-fit can be used to test if average GPA of students varies among five campuses of St. Johns or not.

1b. True or False:Chi-square test of independence can be used to check association between grade of students and their hours of studying.

1c.True or False: Chi-square test of goodness-of-fit can be used to check validity of a claim about distribution of ethnic background of college students in New York

1d.True or False:Test of correlation coefficient requires sample size of greater than 30

1e.True or False:Chi Square distribition is almost normal

2. A teacher claims that final grades in the planning department are distributed as: A, 25%; B, 25%; C, 40%; D, 5%; and F, 5%. At the end of a randomly selected semester 42 students received A, 36 received B, 60 received C, 8 received D, and 14 received F. If computed value of Chi-square is 13.28, what would be the P-value to determine if the grade distribution for the department is different than expected.

A.5%

B. 1%

C. .5%

D.10%

E. None of the above

3. How old are college students? The National Age Distribution for College Students shows that 55% of college students are under 26 years old, 25% are between 26 to 45 years old, and the rest are above 45 years old. Fereydoun wants to know if the age distribution of Rutgers students fits the national distribution or not. He takes a random sample of 210 students of Harvard University and finds that 100 are under 26, and 45 are between 26 to 45, and 65 are above 45 years old. What would be the null hypothesis?

A.Age distribution of Rutgers students is associated with the national age distribution of college students.

B.Age distribution of Harvard students is not different than the national age distribution of college students

C.Age distribution of Harvard students is different than the national age distribution of college students.

D. None of the above

4. The correlation between two variables is –0.6 for a sample of 11 observations. What is the computed value of the T test statistic if we want to check the validity of correlation coefficient?

A. t= 2.25

B. t= -2.25

C. t= -3.4

D. t= 3.45

E. None of the above

5. The correlation between two variables is –0.7 for a sample of 15 observations. Assuming computed T test statistic of -3.4, what would be a proper conclusion? Use 0.02 level of significance

A.Do not reject H0. There is a association between the variables.

B. Reject H0. There is a positive association between the variables.

C.Do not reject H0. There is a negative association between the variables

D.Reject H0. There is a negative association between the variables

6. Stacy wants to see if there is a relationship between the field of study of Rutgers students and their political affiliation. Using 1% level of significance and P-value of 0.037, can she conclude that these two variables are independent?

A. Can not be determined

B. Yes, two variables are independent

C. No, two varables are dependent

D. Can not be determined

Solution

1a.Chi-square test of Goodness-of-fit can be used to test if average GPA of students varies among five campuses of St. Johns or not.

FALSE. An ANOVA F test needs to be conducted.

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1b. True or False:Chi-square test of independence can be used to check association between grade of students and their hours of studying.

FALSE. A t test for correlation is needed.

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1c.True or False: Chi-square test of goodness-of-fit can be used to check validity of a claim about distribution of ethnic background of college students in New York

TRUE.

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1d.True or False:Test of correlation coefficient requires sample size of greater than 30

FALSE. It doesn\'t need to be greater than 30, although it is good if we have a bigger sample size.

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1e.True or False:Chi Square distribition is almost normal

FALSE. The chi^2 distribution is skewed to the right.

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