Question 1

For a two-tailed hypothesis test, the computed test statistic is z = 1.42. What is the p-value?

Accepted Answer

0.1556
Explanation: For a two-tailed tes

Question 2

A machine cuts steel to length for nails. The mean length of a nail is 43 millimeters. There is concern that the settings of the machine producing the nails have changed. To test the claim, 12 nails (n = 12) were sampled. The mean of the sample is 41.5 and the standard deviation is 1.784. What is the computed value of the test statistic?

Accepted Answer

t = -2.913
Explanation: For a

Question 3

The probability of a Type II error is represented by ________.

Accepted Answer

A)  α 
B)  β 
C)  the Type I error 
D)  σ 
A)  α 
B)  β 
C)  the Type I error 
D)  σ

Question 4

The mean annual incomes of certified welders are normally distributed with the mean of $50,000 and a standard deviation of $2,000. The ship building association wishes to find out whether their welders earn more or less than $50,000 annually. The alternate hypothesis is that the mean is not $50,000. If the level of significance is 0.10, what is the critical value?

Accepted Answer

A)  +1.645 
B)  -1.282 
C)  ±1.282 
D)  ±1.645 
A)  +1.645 
B)  -1.282 
C)  ±1.282 
D)  ±1.645

Question 5

The average cost of tuition plus room and board at small private liberal arts colleges is reported to be $8,500 per term, but a financial administrator believes that the average cost is higher. A study conducted using 350 small liberal arts colleges showed that the average cost per term is $8,745. The population standard deviation is $1,200. Let α = 0.05. What is the p-value for this test?

Accepted Answer

A)  0.0000 
B)  0.0124 
C)  0.0500 
D)  0.4938 
A)  0.0000 
B)  0.0124 
C)  0.0500 
D)  0.4938

Question 6

The probability of a Type II error is represented by the Greek symbol, β.

Accepted Answer

A) True 
 B)False

Question 7

A p-value is the same as a stated significance level.

Accepted Answer

A) True 
 B)False

Question 8

Using a 5% level of significance and a sample size of 25, what is the critical t value for a null hypothesis, H0: µµ ≤ 100?

Accepted Answer

A)  1.708 
B)  1.711 
C)  2.060 
D)  2.064 
A)  1.708 
B)  1.711 
C)  2.060 
D)  2.064

Question 9

The average cost of tuition plus room and board at a small private liberal arts college is reported to be $8,500 per term, but a financial administrator believes that the average cost is higher. A study conducted using 350 small liberal arts colleges showed that the average cost per term is $8,745. The population standard deviation is $1,200. Let α = 0.05. What is the test statistic for this test?

Accepted Answer

A)  ±3.82 
B)  +0.204 
C)  -3.82 
D)  +3.82 
A)  ±3.82 
B)  +0.204 
C)  -3.82 
D)  +3.82

Question 10

If the critical z value for a hypothesis test equals 2.45, what value of the test statistic would provide the least chance of making a Type I error?

Accepted Answer

A)  3.74 
B)  10,000 
C)  2.46 
D)  4.56 
A)  3.74 
B)  10,000 
C)  2.46 
D)  4.56

Question 11

A manufacturer wants to increase the shelf life of a line of cake mixes. Past records indicate that the average shelf life of the mix is 216 days. After a revised mix has been developed, a sample of nine boxes of cake mix gave these shelf lives (in days): 215, 217, 218, 219, 216, 217, 217, 218, and 218. Using α = 0.025, has the shelf life of the cake mix increased?

Accepted Answer

A)  Yes, because computed t is greater than the critical value. 
B)  Yes, because computed t is less than the critical value. 
C)  No, because computed t lies in the region of acceptance. 
D)  No, because 217.24 is quite close to 216. 
A)  Yes, because computed t is greater than the critical value. 
B)  Yes, because computed t is less than the critical value. 
C)  No, because computed t lies in the region of acceptance. 
D)  No, because 217.24 is quite close to 216.

Question 12

A consumer products company wants to increase the absorption capacity of a sponge. Based on past data, the average sponge could absorb 3.5 ounces. After the redesign, the absorption amounts of a sample of sponges were (in ounces): 4.1, 3.7, 3.3, 3.5, 3.8, 3.9, 3.6, 3.8, 4.0, and 3.9. At the 0.01 level of significance, what is the decision rule to test if the new design increased the absorption of the sponge?

Accepted Answer

A)  Reject the null hypothesis if computed t is less than 2.580. 
B)  Reject the null hypothesis if computed t is greater than 2.821. 
C)  Reject the null hypothesis if computed z is 1.96 or larger. 
D)  Reject the null hypothesis if computed t is less than 2.764. 
A)  Reject the null hypothesis if computed t is less than 2.580. 
B)  Reject the null hypothesis if computed t is greater than 2.821. 
C)  Reject the null hypothesis if computed z is 1.96 or larger. 
D)  Reject the null hypothesis if computed t is less than 2.764.

Question 13

When planning an experiment, how is a significance level related to sample size?

Accepted Answer

When planning an experiment, h

Question 14

To conduct a test of hypothesis with a small sample, we make an assumption that __________.

Accepted Answer

A)  A larger computed value of t will be needed to reject the null hypothesis 
B)  The region of acceptance will be wider than for large samples 
C)  The confidence interval will be wider than for large samples 
D)  The population is normally distributed 
A)  A larger computed value of t will be needed to reject the null hypothesis 
B)  The region of acceptance will be wider than for large samples 
C)  The confidence interval will be wider than for large samples 
D)  The population is normally distributed

Question 15

If the alternate hypothesis states that µ ≠ 4,000, where is the rejection region for the hypothesis test?

Accepted Answer

A)  In both tails 
B)  In the lower or left tail 
C)  In the upper or right tail 
D)  In the center 
A)  In both tails 
B)  In the lower or left tail 
C)  In the upper or right tail 
D)  In the center

Question 16

For a one-tailed test with a 0.05 level of significance, the critical z statistic is 1.645, but the critical t statistic is 1.96.

Accepted Answer

A) True 
 B)False

Question 17

How is the significance level related to the probability of a Type I error?

Accepted Answer

Smaller significance levels le

Question 18

A ____________ hypothesis test is indicated if the alternate hypothesis does not specify a direction.

Accepted Answer

The answer of A ____________ hypothesis test is indicated if...

Question 19

If the null hypothesis is µµ ≥ 200, then a two-tail test is being conducted.

Accepted Answer

A) True 
 B)False

Question 20

What is another name for the alternate hypothesis?

Accepted Answer

A)  Null hypothesis 
B)  Hypothesis of no difference 
C)  Rejected hypothesis 
D)  Research hypothesis 
A)  Null hypothesis 
B)  Hypothesis of no difference 
C)  Rejected hypothesis 
D)  Research hypothesis

For a two-tailed hypothesis test, the computed test statistic is z = 1.42. What is the p-value?

The probability of a Type II error is represented by ________.

The probability of a Type II error is represented by the Greek symbol, β.

A p-value is the same as a stated significance level.

Using a 5% level of significance and a sample size of 25, what is the critical t value for a null hypothesis, H₀: µµ ≤ 100?

If the critical z value for a hypothesis test equals 2.45, what value of the test statistic would provide the least chance of making a Type I error?

When planning an experiment, how is a significance level related to sample size?

To conduct a test of hypothesis with a small sample, we make an assumption that __________.

If the alternate hypothesis states that µ ≠ 4,000, where is the rejection region for the hypothesis test?

For a one-tailed test with a 0.05 level of significance, the critical z statistic is 1.645, but the critical t statistic is 1.96.

How is the significance level related to the probability of a Type I error?

A ____________ hypothesis test is indicated if the alternate hypothesis does not specify a direction.

If the null hypothesis is µµ ≥ 200, then a two-tail test is being conducted.

What is another name for the alternate hypothesis?

What Is Statistics

Describing Data: Frequency Tables, Frequency Distributions, and Graphic Presentation

Describing Data: Numerical Measures

Describing Data: Displaying and Exploring Data

A Survey of Probability Concepts

Discrete Probability Distributions

Continuous Probability Distributions

Sampling Methods and the Central Limit Theorem

Estimation and Confidence Intervals

Two-Sample Tests of Hypothesis

Analysis of Variance

Correlation and Linear Regression

Multiple Regression Analysis

Nonparametric Methods: Nominal Level Hypothesis Tests

Nonparametric Methods: Analysis of Ordinal Data

Index Numbers

Time Series and Forecasting

Statistical Process Control and Quality Management

An Introduction to Decision Theory

Filters

Exam 10: One-Sample Tests of Hypothesis

For a two-tailed hypothesis test, the computed test statistic is z = 1.42. What is the p-value?

The probability of a Type II error is represented by ________.

The probability of a Type II error is represented by the Greek symbol, β.

A p-value is the same as a stated significance level.

Using a 5% level of significance and a sample size of 25, what is the critical t value for a null hypothesis, H0: µµ ≤ 100?

If the critical z value for a hypothesis test equals 2.45, what value of the test statistic would provide the least chance of making a Type I error?

When planning an experiment, how is a significance level related to sample size?

To conduct a test of hypothesis with a small sample, we make an assumption that __________.

If the alternate hypothesis states that µ ≠ 4,000, where is the rejection region for the hypothesis test?

For a one-tailed test with a 0.05 level of significance, the critical z statistic is 1.645, but the critical t statistic is 1.96.

How is the significance level related to the probability of a Type I error?

A ____________ hypothesis test is indicated if the alternate hypothesis does not specify a direction.

If the null hypothesis is µµ ≥ 200, then a two-tail test is being conducted.

What is another name for the alternate hypothesis?

What Is Statistics

Describing Data: Frequency Tables, Frequency Distributions, and Graphic Presentation

Describing Data: Numerical Measures

Describing Data: Displaying and Exploring Data

A Survey of Probability Concepts

Discrete Probability Distributions

Continuous Probability Distributions

Sampling Methods and the Central Limit Theorem

Estimation and Confidence Intervals

Two-Sample Tests of Hypothesis

Analysis of Variance

Correlation and Linear Regression

Multiple Regression Analysis

Nonparametric Methods: Nominal Level Hypothesis Tests

Nonparametric Methods: Analysis of Ordinal Data

Index Numbers

Time Series and Forecasting

Statistical Process Control and Quality Management

An Introduction to Decision Theory

Filters

Using a 5% level of significance and a sample size of 25, what is the critical t value for a null hypothesis, H₀: µµ ≤ 100?