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

Express the null hypothesis and the alternative hypothesis in symbolic form. Use the correct symbol (m, p, s )for the indicated parameter.

1) A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO, p, is less than in every one thousand.

A) : p <

: p \'B3 B) : p =

: p > C) : p >

: p \'B2 D) : p =

: p <

 

Formulate the indicated conclusion in nontechnical terms. Be sure to address the original claim.

2) A skeptical paranormal researcher claims that the proportion of Americans that have seen a UFO, p, is less than in every ten thousand. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is failure to reject the null hypothesis, state the conclusion in nontechnical terms.

A) There is not sufficient evidence to support the claim that the true proportion is less than in ten thousand.

B) There is not sufficient evidence to support the claim that the true proportion is greater than in ten thousand.

C) There is sufficient evidence to support the claim that the true proportion is less than in ten thousand.

 

Assume that the data has a normal distribution and the number of observations is greater than fifty. Find the critical z value used to test a null hypothesis.

3) a = 0.08; is m 3.24

A) 1.41 B) \'B11.75 C) \'B11.41 D) 1.75

 

Find the value of the test statistic.

4) A claim is made that the proportion of children who play sports is less than 0.5, and the sample statistics include subjects with 30% saying that they play a sport.

A) B) C) D)

 

Find the P-value for the indicated hypothesis test. (Round off intermediate calculations to at least 4 decimal places.)

5) A medical school claims that more than 28% of its students plan to go into general practice. It is found that among a random sample of 130 of the school's students, 32% of them plan to go into general practice. Find the P-value for a test of the school's claim.

A) 0.3078 B) 0.1635 C) 0.1539 D) 0.3461

 

Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim.

6) A poll of 1,068 adult Americans reveals that 48% of the voters surveyed prefer the Democratic candidate for the presidency. At the 0.05 level of significance, test the claim that at least half of all voters prefer the Democrat.

A) z x> z c , Fail to reject null.

B) z x< z c , Fail to reject null.

C) z x< z c , Reject null.

D) z x> z c , Reject null.

E) *Not a choice* additional answer information:

: p = 0.5. : p < 0.5. Test statistic: z = -1.31. P-value: p = 0.0951.

Critical value: z = -1.645. Fail to reject null hypothesis. There is not sufficient evidence to warrant rejection of the claim that at least half of all voters prefer the Democrat.

 

Identify the null hypothesis H0 and the alternative hypothesis H1.

7) The manufacturer of a refrigerator system for beer kegs produces refrigerators that are supposed to maintain a true mean temperature, m, of eF, ideal for a certain type of German pilsner. The owner of the brewery does not agree with the refrigerator manufacturer, and claims he can prove that the true mean temperature is incorrect.

A) H0: me

H1: m < e B) H0: me

H1: m > e C) H0: me

H1: m = e D) H0: m= e

H1: m e

 

Formulate the indicated conclusion in nontechnical terms. Be sure to address the original claim.

8) The manufacturer of a refrigerator system for beer kegs produces refrigerators that are supposed to maintain a true mean temperature, m, of eF, ideal for a certain type of German pilsner. The owner of the brewery does not agree with the refrigerator manufacturer, and claims he can prove that the true mean temperature is incorrect. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is to reject the null hypothesis, state the conclusion in nontechnical terms.

A) There is sufficient evidence to support the claim that the mean temperature is equal to .

B) There is sufficient evidence to support the claim that the mean temperature is different from .

 

Assume that a hypothesis test of the given claim will be conducted. Identify the type I or type II error for the test.

9) The manufacturer of a refrigerator system for beer kegs produces refrigerators that are supposed to maintain a true mean temperature, m, of eF, ideal for a certain type of German pilsner. The owner of the brewery does not agree with the refrigerator manufacturer, and claims he can prove that the true mean temperature is incorrect. Identify the type I error for the test.

A) The error of rejecting the claim that the mean temperature equals eF when it is really different from eF.

B) The error of rejecting the claim that the mean temperature equals eF when it really does equal eF.

C) The error of failing to reject the claim that the mean temperature equals eF when it is really different from eF.

 

Find the critical t value or values for the given hypothesis, sample size, and significance level.

10) H1: m 2.3

n = 6

a = 0.01

A) \'B13.143 B) \'B13.707 C) \'B13.365 D) \'B14.032

 

11) What is the P-value for #10, given t x = .049 ?

A) 0.10 B) 0.01 C) > 0.10 D) > 0.20

 

What decision rule should you use to test H0?

12) A consumer group tests ten cars to see whether the automaker's claim that the cars get more than miles to the gallon is true.

H0: m . Use a 5% significance level.

A) Reject H0if P-value of > 0.05.

B) Reject H0if > 1.645.

C) Reject H0if \'B1 1.96 s/ includes x.

D) Reject H0if > 1.833.

 

Compute the value of an appropriate test statistic for the given hypothesis test.

13) Given below are the weights (in pounds) of ten 35-year-old women who are following a certain exercise regimen. You wish to test the claim that the mean weight for all 35-year-old women following this exercise regimen is equal to 128 pounds. Compute the value of the appropriate test statistic.

142 128 116 154 109

125 132 129 166 148

A) t = 3.78 B) t = 0.39 C) t = 1.24 D) t = 0.12

 

Determine whether the hypothesis test involves a sampling distribution of means that is a normal distribution, Student t distribution, or neither.

14) Claim: m = . Sample data: n = , = , s = . The sample data appear to come from a normally distributed population with s = .

A) Student t B) Neither C) Normal

 

Assume that a simple random sample has been selected from a normally distributed population. Find the test statistic, P-value, critical value(s), and state the final conclusion.

15) Test the claim that for the population of female college students, the mean weight is given by Sample data are summarized as and Use a significance level of

A) P-Value > 0.1, Reject Null

B) P-Value \'B2 0.1, Reject Null

C) P-Value > 0.1, Fail to reject Null

D) P-Value < 0.1, Fail to reject Null

E) *Not a choice* additional answer information:

a = 0.1

Test statistic: t = 1.57

P-value = .1318

Because t < 1.729, we fail to reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that

 

Test the given claim using the traditional method of hypothesis testing. Assume that the sample has been randomly selected from a population with a normal distribution.

16) A public bus company official claims that the mean waiting time for bus number 14 during peak hours is less than 10 minutes. Karen took bus number 14 during peak hours on 18 different occasions. Her mean waiting time was minutes with a standard deviation of minutes. At the 0.01 significance level, test the claim that the mean is less than 10 minutes.

A) t x> t c , Fail to reject null.

B) t x< t c , Fail to reject null.

C) t x> t c , Reject null.

D) t x< t c , Reject null.

E) *Not a choice* additional answer information:

Test statistic: t = . Critical values: t = -2.567. Reject . There is sufficient evidence to support the claim that the mean is less than 10 minutes.

 

Construct a scatter diagram for the given data.

17)

A)

B)

C)

D)

 

Determine which plot shows the strongest linear correlation.

18)

A)

B)

C)

 

Find the value of the linear correlation coefficient r.

19) A study was conducted to compare the average time spent in the lab each week versus course grade for computer students. The results are recorded in the table below.

Number of hours spent in lab Grade (percent)

10 96

11 51

16 62

9 58

7 89

15 81

16 46

10 51

A) -0.284 B) 0.462 C) -0.335 D) 0.017

 

Given the linear correlation coefficient r and the sample size n, determine the critical values of r and use your finding to state whether or not the given r represents a significant linear correlation. Use a significance level of 0.05.

20) r = , n = 25

A) Critical values: r = \'B10.396, significant linear correlation

B) Critical values: r = \'B10.396, no significant linear correlation

C) Critical values: r = \'B10.487, no significant linear correlation

D) Critical values: r = \'B10.487, significant linear correlation


 

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

1) D

ID: STAT9T 7.2.2-3

Page Ref: 373-374

Objective: (7.2) Identify Null and Alternative Hypotheses

 

2) A

ID: STAT9T 7.2.6-3+

Page Ref: 376-381

Objective: (7.2) Formulate Conclusion of Hypothesis Test

 

3) B

ID: STAT9T 7.2.3-5

Page Ref: 374-375

Objective: (7.2) Find Critical z Value

 

4) B

ID: STAT9T 7.2.4-1

Page Ref: 374-375

Objective: (7.2) Find Test Statistic

 

5) C

ID: STAT9T 7.3.2-1+

Page Ref: 391-392

Objective: (7.3) Find P-Value

 

6) A

ID: STAT9T 7.3.1-3+

Page Ref: 389-391

Objective: (7.3) Test Claim About Proportion

 

7) D

ID: STAT8T 7.2.2-6

Page Ref: 369-371

Objective: (7.2) Identify Null and Alternative Hypotheses

 

8) B

ID: STAT8T 7.2.4-6+

Page Ref: 374-375

Objective: (7.2) Formulate Conclusion of Hypothesis Test

 

9) B

ID: STAT8T 7.2.5-6

Page Ref: 375-376

Objective: (7.2) Identify Type I/Type II Error

 

10) D

ID: STAT8T 7.4.1-8

Page Ref: 400-403

Objective: (7.4) Find Critical t Value

 

11) D

ID: USER-1

Page Ref:

Objective:

 

12) D

ID: STAT8T 7.4.4-2+

Page Ref: 401-403

Objective: (7.4) Find Decision Rule for Traditional Test

 

13) C

ID: STAT8T 7.4.5-7

Page Ref: 401-403

Objective: (7.4) Compute Test Statistic for Traditional Test

 

14) C

ID: STAT9T 7.5.1-1

Page Ref: 408-414

Objective: (7.5) Use Correct Distribution

 

15) C

ID: STAT9T 7.5.2-1+

Page Ref: 408-414

Objective: (7.5) Find Test Components

 

16) D

ID: STAT9T 7.5.3-6+

Page Ref: 408-414

Objective: (7.5) Test Hypothesis

 

17) C

ID: STAT9T 9.2.2-2

Page Ref: 496-498

Objective: (9.2) Construct Scatter Plot

 

18) A

ID: STAT9T 9.2.3-2

Page Ref: 496-498

Objective: (9.2) Interpret Scatter Plot

 

19) C

ID: STAT9T 9.2.4-7

Page Ref: 499-503

Objective: (9.2) Find Linear Correlation Coefficient

 

20) A

ID: STAT9T 9.2.1-1

Page Ref: 496-498

Objective: (9.2) Test for Linear Correlation