Question 1

When using Excel to calculate a p-value for an upper-tail hypothesis test, the following must be used

Accepted Answer

A) RAND 
B) 1 - NORM.S.DIST 
C) NORM.S.DIST 
D) Not enough information is given to answer this question. 
A) RAND 
B) 1 - NORM.S.DIST 
C) NORM.S.DIST 
D) Not enough information is given to answer this question. B

Question 2

A new soft drink is being market tested. A sample of 400 individuals participated in the taste test and 80 indicated they like the taste.
a.At a 5% significance level, test to determine if at least 22% of the population will like the new soft drink.
b.Determine the p-value.

Accepted Answer

a.H₀: p

\ge

0.22
H_a: p < 0.22 z = -0.97; therefore, do not reject H_0,there is not sufficient evidence at

\alpha

= 5% to conclude that fewer than 22% of the population like the new soft drink
b.0.1587

Question 3

A two-tailed test is a

Accepted Answer

A) hypothesis test in which rejection region is in both tails of the sampling distribution 
B) hypothesis test in which rejection region is in one tail of the sampling distribution 
C) hypothesis test in which rejection region is only in the lower tail of the sampling distribution 
D) hypothesis test in which rejection region is only in the upper tail of the sampling distribution 
A) hypothesis test in which rejection region is in both tails of the sampling distribution 
B) hypothesis test in which rejection region is in one tail of the sampling distribution 
C) hypothesis test in which rejection region is only in the lower tail of the sampling distribution 
D) hypothesis test in which rejection region is only in the upper tail of the sampling distribution A

Question 4

Exhibit 9-6
A random sample of 100 people was taken. Eighty of the people in the sample favored Candidate A. We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 75%.
-At a local university, a sample of 49 evening students was selected in order to determine whether the average age of the evening students is significantly different from 21. The average age of the students in the sample was 23 years. The population standard deviation is known to be 3.5 years. Determine whether or not the average age of the evening students is significantly different from 21. Use a 0.1 level of significance.

Accepted Answer

H₀: @#LAT-DLM& = 21 H_a: @#LAT-DLM& @#LAT-DLM& 2

Question 5

Exhibit 9-6
A random sample of 100 people was taken. Eighty of the people in the sample favored Candidate A. We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 75%.
-Bastien, Inc. has been manufacturing small automobiles that have averaged 50 miles per gallon of gasoline in highway driving. The company has developed a more efficient engine for its small cars and now advertises that its new small cars average more than 50 miles per gallon in highway driving. An independent testing service road-tested 36 of the automobiles. The sample showed an average of 51.5 miles per gallon. The population standard deviation is 6 miles per gallon.
a.With a 0.05 level of significance, test to determine whether or not the manufacturer's advertising campaign is legitimate.
b.What is the p-value associated with the sample results?

Accepted Answer

a.H₀: @#LAT-DLM& @#LAT-DLM& 50 H_a: @#LAT-DLM& >

Question 6

From a population of cans of coffee marked "12 ounces," a sample of 25 cans is selected and the contents of each can are weighed. The sample revealed a mean of 11.8 ounces and a standard deviation of 0.5 ounces. Test to see if the mean of the population is at least 12 ounces. (Assume the population is normally distributed.) Use a .05 level of significance.

Accepted Answer

H₀: @#LAT-DLM& @#LAT-DLM& 12 H_a

Question 7

A sample of 16 cookies is taken to test the claim that each cookie contains at least 9 chocolate chips. The average number of chocolate chips per cookie in the sample was 7.875 with a standard deviation of 1. Assume the distribution of the population is normal.
a.State the null and alternative hypotheses.
b.Using a critical value, test the hypothesis at the 1% level of significance.
c.Using a p-value, test the hypothesis at the 1% level of significance.
d.Compute the probability of a Type II error if the true number of chocolate chips per cookie is 8.

Accepted Answer

a.H₀: @#LAT-DLM& @#LAT-DLM& 9 H_a: @#LAT-DLM& < 9

Question 8

In hypothesis testing if the null hypothesis is rejected,

Accepted Answer

A) no conclusions can be drawn from the test 
B) the alternative hypothesis must also be rejected 
C) the data must have been accumulated incorrectly 
D) None of the other answers are correct. 
A) no conclusions can be drawn from the test 
B) the alternative hypothesis must also be rejected 
C) the data must have been accumulated incorrectly 
D) None of the other answers are correct.

Question 9

Read the t statistic from the table of t distributions and circle the correct answer. A two-tailed test, a sample of 20 at a .20 level of significance; t =

Accepted Answer

A) 1.328 
B) 2.539 
C) 1.325 
D) 2.528 
A) 1.328 
B) 2.539 
C) 1.325 
D) 2.528

Question 10

A carpet company advertises that it will deliver your carpet within 15 days of purchase. A sample of 49 past customers is taken. The average delivery time in the sample was 16.2 days. Assume the population standard deviation is known to be 5.6 days.
a.State the null and alternative hypotheses.
b.Using a critical value, test the null hypothesis at the 5% level of significance.
c.Using a p-value, test the hypothesis at the 5% level of significance.
d.What type of error may have been committed for this hypothesis test?

Accepted Answer

a.H₀: @#LAT-DLM& @#LAT-DLM& 15 H_a: @#LAT-DLM& >

Question 11

In hypothesis testing, the hypothesis tentatively assumed to be true is

Accepted Answer

A) the alternative hypothesis 
B) the null hypothesis 
C) either the null or the alternative 
D) None of the other answers are correct. 
A) the alternative hypothesis 
B) the null hypothesis 
C) either the null or the alternative 
D) None of the other answers are correct.

Question 12

In hypothesis testing, the critical value is

Accepted Answer

A) a number that establishes the boundary of the rejection region 
B) the probability of a Type I error 
C) the probability of a Type II error 
D) the same as the p-value 
A) a number that establishes the boundary of the rejection region 
B) the probability of a Type I error 
C) the probability of a Type II error 
D) the same as the p-value

Question 13

If a hypothesis is rejected at a 5% level of significance, it

Accepted Answer

A) will always be rejected at the 1% level 
B) will always be accepted at the 1% level 
C) will never be tested at the 1% level 
D) may be rejected or not rejected at the 1% level 
A) will always be rejected at the 1% level 
B) will always be accepted at the 1% level 
C) will never be tested at the 1% level 
D) may be rejected or not rejected at the 1% level

Question 14

The manager of an automobile dealership is considering a new bonus plan in order to increase sales. Currently, the mean sales rate per salesperson is five automobiles per month. The correct set of hypotheses for testing the effect of the bonus plan is

Accepted Answer

A) H0: $\mu$ a: $\mu$ $\le$ 5 B) H0: $\mu$ $\le$ 5 Ha: $\mu$ > 5 C) H0: $\mu$ > 5 Ha: $\mu$ $\le$ 5 D) H0: $\mu$ $\ge$ 5 Ha: $\mu$ < 5 A) H0: $\mu$ a: $\mu$ $\le$ 5 B) H0: $\mu$ $\le$ 5 Ha: $\mu$ > 5 C) H0: $\mu$ > 5 Ha: $\mu$ $\le$ 5 D) H0: $\mu$ $\ge$ 5 Ha: $\mu$ < 5

Question 15

Read the t statistic from the table of t distributions and circle the correct answer. A one-tailed test (lower tail), a sample size of 10 at a .10 level of significance; t =

Accepted Answer

A) 1.383 
B) -1.372 
C) -1.383 
D) -2.821 
A) 1.383 
B) -1.372 
C) -1.383 
D) -2.821

Question 16

In a television commercial, the manufacturer of a toothpaste claims that at least 4 out of 5 dentists recommend its product. A consumer-protection group wants to test that claim. Identify the hypotheses.

Accepted Answer

H<sub>o</s

Question 17

For a two-tailed test with a sample size of 40, the null hypothesis will not be rejected at a 5% level of significance if the test statistic is

Accepted Answer

A) between -1.96 and 1.96, exclusively 
B) greater than 1.96 
C) less than 1.645 
D) greater than -1.645 
A) between -1.96 and 1.96, exclusively 
B) greater than 1.96 
C) less than 1.645 
D) greater than -1.645

Question 18

Your investment executive claims that the average yearly rate of return on the stocks she recommends is at least 10.0%. You plan on taking a sample to test her claim. The correct set of hypotheses is

Accepted Answer

A) H0: $\mu$ a: $\mu$ $\ge$ 10.0% B) H0: $\mu$ $\le$10.0% Ha: $\mu$ > 10.0% C) H0: $\mu$ > 10.0% Ha: $\mu$ $\le$ 10.0% D) H0: $\mu$ $\ge$ 10.0% Ha: $\mu$ < 10.0% A) H0: $\mu$ a: $\mu$ $\ge$ 10.0% B) H0: $\mu$ $\le$10.0% Ha: $\mu$ > 10.0% C) H0: $\mu$ > 10.0% Ha: $\mu$ $\le$ 10.0% D) H0: $\mu$ $\ge$ 10.0% Ha: $\mu$ < 10.0%

Question 19

The level of significance in hypothesis testing is the probability of

Accepted Answer

A) accepting a true null hypothesis 
B) accepting a false null hypothesis 
C) rejecting a true null hypothesis 
D) could be any of the above, depending on the situation 
A) accepting a true null hypothesis 
B) accepting a false null hypothesis 
C) rejecting a true null hypothesis 
D) could be any of the above, depending on the situation

Question 20

Exhibit 9-5   Assume population is normally distributed.
-Refer to Exhibit 9-5. The p-value is equal to

Accepted Answer

A) -0.0166 
B) 0.0166 
C) 0.0332 
D) 0.9834 
A) -0.0166 
B) 0.0166 
C) 0.0332 
D) 0.9834

When using Excel to calculate a p-value for an upper-tail hypothesis test, the following must be used

A new soft drink is being market tested. A sample of 400 individuals participated in the taste test and 80 indicated they like the taste. a.At a 5% significance level, test to determine if at least 22% of the population will like the new soft drink. b.Determine the p-value.

A two-tailed test is a

In hypothesis testing if the null hypothesis is rejected,

Read the t statistic from the table of t distributions and circle the correct answer. A two-tailed test, a sample of 20 at a .20 level of significance; t =

In hypothesis testing, the hypothesis tentatively assumed to be true is

In hypothesis testing, the critical value is

If a hypothesis is rejected at a 5% level of significance, it

The manager of an automobile dealership is considering a new bonus plan in order to increase sales. Currently, the mean sales rate per salesperson is five automobiles per month. The correct set of hypotheses for testing the effect of the bonus plan is

Read the t statistic from the table of t distributions and circle the correct answer. A one-tailed test (lower tail), a sample size of 10 at a .10 level of significance; t =

In a television commercial, the manufacturer of a toothpaste claims that at least 4 out of 5 dentists recommend its product. A consumer-protection group wants to test that claim. Identify the hypotheses.

For a two-tailed test with a sample size of 40, the null hypothesis will not be rejected at a 5% level of significance if the test statistic is

Your investment executive claims that the average yearly rate of return on the stocks she recommends is at least 10.0%. You plan on taking a sample to test her claim. The correct set of hypotheses is

The level of significance in hypothesis testing is the probability of

Exhibit 9-5 Assume population is normally distributed. -Refer to Exhibit 9-5. The p-value is equal to

Data and Statistics

Descriptive Statistics: Tabular and Graphical Displays

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Tests of Goodness of Fit, Independence and Multiple Proportions

Experimental Design and Analysis of Variance

Simple Linear Regression

Multiple Regression

Regression Analysis: Model Building

Time Series Analysis and Forecasting

Nonparametric Methods

Statistical Methods for Quality Control

Decision Analysis

Sample Survey

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Exam 9: Hypothesis Tests

When using Excel to calculate a p-value for an upper-tail hypothesis test, the following must be used

A new soft drink is being market tested. A sample of 400 individuals participated in the taste test and 80 indicated they like the taste. a.At a 5% significance level, test to determine if at least 22% of the population will like the new soft drink. b.Determine the p-value.

A two-tailed test is a

In hypothesis testing if the null hypothesis is rejected,

Read the t statistic from the table of t distributions and circle the correct answer. A two-tailed test, a sample of 20 at a .20 level of significance; t =

In hypothesis testing, the hypothesis tentatively assumed to be true is

In hypothesis testing, the critical value is

If a hypothesis is rejected at a 5% level of significance, it

The manager of an automobile dealership is considering a new bonus plan in order to increase sales. Currently, the mean sales rate per salesperson is five automobiles per month. The correct set of hypotheses for testing the effect of the bonus plan is

Read the t statistic from the table of t distributions and circle the correct answer. A one-tailed test (lower tail), a sample size of 10 at a .10 level of significance; t =

In a television commercial, the manufacturer of a toothpaste claims that at least 4 out of 5 dentists recommend its product. A consumer-protection group wants to test that claim. Identify the hypotheses.

For a two-tailed test with a sample size of 40, the null hypothesis will not be rejected at a 5% level of significance if the test statistic is

Your investment executive claims that the average yearly rate of return on the stocks she recommends is at least 10.0%. You plan on taking a sample to test her claim. The correct set of hypotheses is

The level of significance in hypothesis testing is the probability of

Exhibit 9-5 Assume population is normally distributed. -Refer to Exhibit 9-5. The p-value is equal to

Data and Statistics

Descriptive Statistics: Tabular and Graphical Displays

Descriptive Statistics: Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Continuous Probability Distributions

Sampling and Sampling Distributions

Interval Estimation

Inference About Means and Proportions With Two Populations

Inferences About Population Variances

Tests of Goodness of Fit, Independence and Multiple Proportions

Experimental Design and Analysis of Variance

Simple Linear Regression

Multiple Regression

Regression Analysis: Model Building

Time Series Analysis and Forecasting

Nonparametric Methods

Statistical Methods for Quality Control

Decision Analysis

Sample Survey

Filters