Exam 10: One-Sample Tests of Hypothesis

One of the major U.S. tire makers wishes to review its warranty for their rainmaker tire. The warranty is for 40,000 miles. The distribution of tire wear is normally distributed with a population standard deviation of 15,000 miles. The tire company believes that the tire actually lasts more than 40,000 miles. A sample of 49 tires revealed that the mean number of miles is 45,000 miles. If we test the hypothesis with a 0.05 significance level, what is the probability of a Type II error if the actual tire mileage is 45,000 miles?

(Short Answer)

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Question 21

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. Which of the following is the alternate hypothesis?

(Multiple Choice)

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Question 22

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. To test the claim at the 0.02 significance level, what is the critical value?

(Essay)

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Question 23

A test statistic is computed using ________________ information.

(Short Answer)

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Question 24

A p-value is a probability.

(True/False)

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Question 25

Which symbol represents a test statistic used to test a hypothesis about a population mean?

(Multiple Choice)

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Question 26

For a one-tailed hypothesis test, the critical z value of the test statistic is -2.33. Which of the following is true about the hypothesis test?

(Multiple Choice)

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Question 27

The probability of a Type II error is directly related to ________.

(Multiple Choice)

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Question 28

To decide if a null hypothesis should be rejected, a ____________ is compared to the critical value.

(Short Answer)

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Question 29

Assuming that the null hypothesis is true, a p-value is the probability of observing a sample value greater than and/or less than an observed sample observation.

(True/False)

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Question 30

A hypothesis regarding the weight of newborn infants at a community hospital is that the mean is 6.6 pounds. A sample of seven infants is randomly selected and their weights at birth are recorded as 9.0, 7.3, 6.0, 8.8, 6.8, 8.4, and 6.6 pounds. What is the alternate hypothesis?

(Multiple Choice)

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Question 31

What statement do we make that determines if the null hypothesis is rejected?

(Multiple Choice)

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Question 32

Records on a fleet of trucks reveal that the average life of a set of spark plugs is normally distributed with a mean of 22,100 miles. The fleet owner purchased 18 sets and found that the sample average life was 23,400 miles; the sample standard deviation was 1,412 miles. What is the test statistic?

(Essay)

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Question 33

A hypothesis regarding the weight of newborn infants at a community hospital is that the mean is 6.6 pounds. A sample of seven infants is randomly selected and their weights at birth are recorded as 9.0, 7.3, 6.0, 8.8, 6.8, 8.4, and 6.6 pounds. What is the decision for a statistical significant change in average weights at birth at the 5% level of significance?

(Multiple Choice)

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Question 34

The researcher must decide on the level of significance before formulating a decision rule and collecting sample data.

(True/False)

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Question 35

A test statistic for a hypothesis, H₀: µ = 10, computes the standardized difference between the hypothesized population mean and the ______________________.

(Short Answer)

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Question 36

What are the critical values for a two-tailed test with a 0.01 level of significance when n is large and the population standard deviation is known?

(Multiple Choice)

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Question 37

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. Based on the computed test statistic or p-value, what is our decision about the average cost?

(Multiple Choice)

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Question 38

How is a significance level determined and how is it related to Type I error?

(Essay)

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Question 39

A hypothesis regarding the weight of newborn infants at a community hospital is that the mean is 6.6 pounds. A sample of seven infants is randomly selected and their weights at birth are recorded as 9.0, 7.3, 6.0, 8.8, 6.8, 8.4, and 6.6 pounds. What are the degrees of freedom?

(Multiple Choice)

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Question 40

Showing 21 - 40 of 110

A test statistic is computed using ________________ information.

A p-value is a probability.

Which symbol represents a test statistic used to test a hypothesis about a population mean?

For a one-tailed hypothesis test, the critical z value of the test statistic is -2.33. Which of the following is true about the hypothesis test?

The probability of a Type II error is directly related to ________.

To decide if a null hypothesis should be rejected, a ____________ is compared to the critical value.

Assuming that the null hypothesis is true, a p-value is the probability of observing a sample value greater than and/or less than an observed sample observation.

A hypothesis regarding the weight of newborn infants at a community hospital is that the mean is 6.6 pounds. A sample of seven infants is randomly selected and their weights at birth are recorded as 9.0, 7.3, 6.0, 8.8, 6.8, 8.4, and 6.6 pounds. What is the alternate hypothesis?

What statement do we make that determines if the null hypothesis is rejected?

Records on a fleet of trucks reveal that the average life of a set of spark plugs is normally distributed with a mean of 22,100 miles. The fleet owner purchased 18 sets and found that the sample average life was 23,400 miles; the sample standard deviation was 1,412 miles. What is the test statistic?

The researcher must decide on the level of significance before formulating a decision rule and collecting sample data.

A test statistic for a hypothesis, H₀: µ = 10, computes the standardized difference between the hypothesized population mean and the ______________________.

What are the critical values for a two-tailed test with a 0.01 level of significance when n is large and the population standard deviation is known?

How is a significance level determined and how is it related to Type I error?

A hypothesis regarding the weight of newborn infants at a community hospital is that the mean is 6.6 pounds. A sample of seven infants is randomly selected and their weights at birth are recorded as 9.0, 7.3, 6.0, 8.8, 6.8, 8.4, and 6.6 pounds. What are the degrees of freedom?

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

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Exam 10: One-Sample Tests of Hypothesis

A test statistic is computed using ________________ information.

A p-value is a probability.

Which symbol represents a test statistic used to test a hypothesis about a population mean?

For a one-tailed hypothesis test, the critical z value of the test statistic is -2.33. Which of the following is true about the hypothesis test?

The probability of a Type II error is directly related to ________.

To decide if a null hypothesis should be rejected, a ____________ is compared to the critical value.

Assuming that the null hypothesis is true, a p-value is the probability of observing a sample value greater than and/or less than an observed sample observation.

A hypothesis regarding the weight of newborn infants at a community hospital is that the mean is 6.6 pounds. A sample of seven infants is randomly selected and their weights at birth are recorded as 9.0, 7.3, 6.0, 8.8, 6.8, 8.4, and 6.6 pounds. What is the alternate hypothesis?

What statement do we make that determines if the null hypothesis is rejected?

The researcher must decide on the level of significance before formulating a decision rule and collecting sample data.

A test statistic for a hypothesis, H0: µ = 10, computes the standardized difference between the hypothesized population mean and the ______________________.

What are the critical values for a two-tailed test with a 0.01 level of significance when n is large and the population standard deviation is known?

How is a significance level determined and how is it related to Type I error?

A hypothesis regarding the weight of newborn infants at a community hospital is that the mean is 6.6 pounds. A sample of seven infants is randomly selected and their weights at birth are recorded as 9.0, 7.3, 6.0, 8.8, 6.8, 8.4, and 6.6 pounds. What are the degrees of freedom?

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

A test statistic for a hypothesis, H₀: µ = 10, computes the standardized difference between the hypothesized population mean and the ______________________.