MATH 1342 TEST ON CHAPTERS 7 AND 9
ANSWER ALL QUESTIONS. TIME 1.5HRS. 

MULTIPLE CHOICE.  Choose the one alternative that best completes the statement or answers the question. 

Provide an appropriate response. 

1) 

Suppose you are using α = 0.05 to test the claim that μ ≠ 14 using a P-value. You are given the sample statistics n = 35,  = 13.1, and s = 2.7. Find the P-value. 

1) 

_______ 

A) 

0.0244 

B) 

0.0488 

C) 

0.0591 

D) 

0.1003 

2) 

Given  μ = 25,  μ ≠ 25, and P = 0.034. Do you reject or fail to reject  at the 0.01 level of significance? 

2) 

_______ 

A) 

reject  

B) 

not sufficient information to decide 

C) 

fail to reject  

3) 

The mean age of bus drivers in Chicago is 59.3 years. If a hypothesis test is performed, how should you interpret a decision that fails to reject the null hypothesis? 

3) 

_______ 

A) 

There is not sufficient evidence to support the claim μ = 59.3. 

B) 

There is not sufficient evidence to reject the claim μ = 59.3. 

C) 

There is sufficient evidence to support the claim μ = 59.3. 

D) 

There is sufficient evidence to reject the claim μ = 59.3. 

4) 

Suppose you are using α = 0.01 to test the claim that μ ≤ 32 using a P-value. You are given the sample statistics n = 40,  = 33.8, and s = 4.3. Find the P-value. 

4) 

_______ 

A) 

0.9960 

B) 

0.1030 

C) 

0.0040 

D) 

0.0211 

5) 

Given  μ > 85 and P = 0.007. Do you reject or fail to reject  at the 0.01 level of significance? 

5) 

_______ 

A) 

not sufficient information to decide 

B) 

reject  

C) 

fail to reject  

6) 

You wish to test the claim that μ ≤ 38 at a level of significance of α = 0.01 and are given sample statistics n = 40,  and  Compute the value of the standardized test statistic. Round your answer to two decimal places. 

6) 

_______ 

A) 

3.51 

B) 

1.96 

C) 

2.12 

D) 

2.65 

7) 

Suppose you are using α = 0.01 to test the claim that μ = 1620 using a P-value. You are given the sample statistics n = 35,  = 1590, and s = 82. Find the P-value. 

7) 

_______ 

A) 

0.0154 

B) 

0.0308 

C) 

0.0077 

D) 

0.3169 

8) 

The mean IQ of statistics teachers is greater than 160. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis? 

8) 

_______ 

A) 

There is not sufficient evidence to reject the claim μ > 160. 

B) 

There is not sufficient evidence to support the claim μ > 160. 

C) 

There is sufficient evidence to reject the claim μ > 160. 

D) 

There is sufficient evidence to support the claim μ > 160. 

9) 

Given  p ≥ 80% and  p < 80%, determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. 

9) 

_______ 

A) 

two-tailed 

B) 

left-tailed 

C) 

right-tailed 

10) 

A researcher claims that 62% of voters favor gun control. Determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed. 

10) 

______ 

A) 

right-tailed 

B) 

two-tailed 

C) 

left-tailed 

11) 

Find the critical value for a left-tailed test with α = 0.025 and n = 50. 

11) 

______ 

A) 

-1.96 

B) 

-1.645 

C) 

-2.575 

D) 

-2.33 

12) 

Use the regression equation to predict the value of y for x = 2.2. Assume that the variables x and y have a significant correlation.

 

12) 

______ 

A) 

5.165 

B) 

0.883 

C) 

3.311 

D) 

4.061 

13) 

Given a sample with r = -0.541, n = 20, and α = 0.01, determine the standardized test statistic t necessary to test the claim ρ = 0. Round answers to three decimal places. 

13) 

______ 

A) 

-5.132 

B) 

-2.729 

C) 

-4.671 

D) 

-3.251 

14) 

Find the standard error of estimate, , for the data below, given that   = 2x + 1.

14) 

______ 

A) 

1 

B) 

0 

C) 

3 

D) 

2 

15) 

A researcher found a significant relationship between a student's IQ, , grade point average, , and the score, y, on the verbal section of the SAT test. The relationship can be represented by the multiple regression equation  = 250 + 1.5 + 80. Predict the SAT verbal score of a student whose IQ is 129 and grade point average is 3.8. 

15) 

______ 

A) 

698 

B) 

498 

C) 

648 

D) 

748 

16) 

Calculate the correlation coefficient, r, for the data below.

16) 

______ 

A) 

-0.549 

B) 

-0.132 

C) 

-0.104 

D) 

-0.581 

17) 

Calculate the correlation coefficient, r, for the data below.

17) 

______ 

A) 

0.819 

B) 

0.881 

C) 

0.990 

D) 

0.792 

18) 

Determine the critical value, , to test the claim about the population proportion p = 0.250 given  
and  Use  

18) 

______ 

A) 

±2.33 

B) 

±2.575 

C) 

±1.645 

D) 

±1.96 

19) 

Find the critical value for a two-tailed test with α = 0.01 and n = 30. 

19) 

______ 

A) 

±1.96 

B) 

±2.575 

C) 

±1.645 

D) 

±2.33 

20) 

The dean of a major university claims that the mean time for students to earn a Master's degree is at most 5.8 years. If a hypothesis test is performed, how should you interpret a decision that rejects the null hypothesis? 

20) 

______ 

A) 

There is sufficient evidence to reject the claim μ ≤ 5.8. 

B) 

There is not sufficient evidence to support the claim μ ≤ 5.8. 

C) 

There is sufficient evidence to support the claim μ ≤ 5.8. 

D) 

There is not sufficient evidence to reject the claim μ ≤ 5.8. 

21) 

Find the standard error of estimate, , for the data below, given that   = -2.5x.

 

21) 

______ 

A) 

0.532 

B) 

0.866 

C) 

0.349 

D) 

0.675 

22) 

Given a sample with r = 0.321, n = 30, and α = 0.10, determine the critical values  necessary to test the claim  

22) 

______ 

A) 

± 0.683 

B) 

± 1.311 

C) 

± 1.701 

D) 

± 2.462 

23) 

Find the standardized test statistic t for a sample with n = 20,  = 13, s = 2.0, and  if  Round your answer to three decimal places. 

23) 

______ 

A) 

-0.872 

B) 

-0.894 

C) 

-1.233 

D) 

-1.265 

24) 

Find the standard error of estimate, , for the data below, given that 

 

24) 

______ 

A) 

6.306 

B) 

5.918 

C) 

8.214 

D) 

3.203 

25) 

You wish to test the claim that μ = 1240 at a level of significance of α = 0.01 and are given sample statistics   and  Compute the value of the standardized test statistic. Round your answer to two decimal places. 

25) 

______ 

A) 

-4.67 

B) 

-2.16 

C) 

-3.82 

D) 

-5.18 

 

1) 

B 

2) 

C 

3) 

B 

4) 

C 

5) 

B 

6) 

D 

7) 

B 

8) 

D 

9) 

B 

10) 

B 

11) 

A 

12) 

D 

13) 

B 

14) 

B 

15) 

D 

16) 

C 

17) 

C 

18) 

B 

19) 

B 

20) 

A 

21) 

B 

22) 

C 

23) 

B 

24) 

A 

25) 

B