Exam 9: Introduction to Hypothesis Testing

A contract calls for the mean diameter of a cylinder to be 1.50 inches.As a quality check,each day a random sample of n = 36 cylinders is selected and the diameters are measured.Assuming that the population standard deviation is thought to be 0.10 inch and that the test will be conducted using an alpha equal to 0.025,what would the probability of a Type II error be?

(Multiple Choice)

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Question 41

The loan manager for State Bank and Trust has claimed that the mean loan balance on outstanding loans at the bank is over $14,500.To test this at a significance level of 0.05,a random sample of n = 100 loan accounts is selected.Assuming that the population standard deviation is known to be $3,000,the null and alternative hypotheses to be tested are: H₀ : μ ≤ $14,500 H_A : μ > $14,500

(True/False)

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Question 42

If a decision maker wishes to reduce the chance of making a Type II error,one option is to increase the sample size.

(True/False)

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Question 43

When using the t-distribution in a hypothesis test,the population does not need to be assumed normally distributed.

(True/False)

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Question 44

For the following hypothesis test: With n = 15,s = 7.5,and = 62.2,state the decision rule in terms of the critical value of the test statistic

(Multiple Choice)

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Question 45

For a given sample size n,if the level of significance (α)is decreased,the power of the test:

(Multiple Choice)

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Question 46

The state insurance commissioner believes that the mean automobile insurance claim filed in her state exceeds $1,700.To test this claim,the agency has selected a random sample of 20 claims and found a sample mean equal to $1,733 and a sample standard deviation equal to $400.They plan to conduct the test using a 0.05 significance level.Based on this,the null hypothesis should be rejected if > $1,854.66 approximately.

(True/False)

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Question 47

For the following hypothesis test With n = 100 and p = 0.66,state the conclusion.

(Multiple Choice)

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Question 48

A company makes a device that can be fitted to automobile engines to improve the mileage.The company claims that if the device is installed,owners will observe a mean increase of more than 3.0 mpg.Assuming that the population standard deviation of increase is known to be 0.75 mpg,and a sample of size 64 cars is selected,what is the probability of "accepting" the null hypothesis if the true population mean is 3.10 mpg increase? Assume that the test will be performed using a 0.05 level of significance.

(Essay)

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Question 49

The director of the city Park and Recreation Department claims that the mean distance people travel to the city's greenbelt is more than 5.0 miles.Assuming that the population standard deviation is known to be 1.2 miles and the significance level to be used to test the hypothesis is 0.05 when a sample size of n = 64 people are surveyed,the probability of a Type II error is approximately .4545 when the "true" population mean is 5.5 miles.

(True/False)

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Question 50

For the following hypothesis: With n = 20, = 71.2,s = 6.9,and α = 0.1,state the decision rule in terms of the critical value of the test statistic.

(Multiple Choice)

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Question 51

If a hypothesis test is conducted for a population mean,a null and alternative hypothesis of the form: H₀ : μ = 100 H_A : μ ≠ 100 will result in a one-tailed hypothesis test since the sample result can fall in only one tail.

(True/False)

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Question 52

A consumer group plans to test whether a new passenger car that is advertised to have a mean highway miles per gallon of at least 33 actually meets this level.They plan to test the hypothesis using a significance level of 0.05 and a sample size of n = 100 cars.It is believed that the population standard deviation is 3 mpg.Based upon this information,what is the critical value in terms of miles per gallon that would be needed prior to finding beta?

(Multiple Choice)

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Question 53

If an economist wishes to determine whether there is evidence that average family income in a community exceeds $25,000.The best null hypothesis is:

(Multiple Choice)

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Question 54

When someone has been accused of a crime the null hypothesis is: H₀ : innocent. In this case,a Type I error would be convicting an innocent person.

(True/False)

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Question 55

When a battery company claims that their batteries last longer than 100 hours and a consumer group wants to test this claim,the hypotheses should be: H₀ : μ ≤ 100 H_A : μ > 100

(True/False)

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Question 56

The reason for using the t-distribution in a hypothesis test about the population mean is:

(Multiple Choice)

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Question 57

In a hypothesis test,the p-value measures the probability that the alternative hypothesis is true.

(True/False)

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Question 58

After completing sales training for a large company,it is expected that the salesperson will generate a sale on at least 15 percent of the calls he or she makes.To make sure that the sales training process is working,a random sample of n = 400 sales calls made by sales representatives who have completed the training have been selected and the null hypothesis is to be tested at 0.05 alpha level.Suppose that a sale is made on 36 of the calls.Based on this information,what is the test statistic for this test?

(Multiple Choice)

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Question 59

For the following hypothesis test: With n = 64 and p = 0.42,state the calculated value of the test statistic

(Multiple Choice)

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Question 60

Showing 41 - 60 of 183

If a decision maker wishes to reduce the chance of making a Type II error,one option is to increase the sample size.

When using the t-distribution in a hypothesis test,the population does not need to be assumed normally distributed.

For the following hypothesis test: With n = 15,s = 7.5,and = 62.2,state the decision rule in terms of the critical value of the test statistic

For a given sample size n,if the level of significance (α)is decreased,the power of the test:

For the following hypothesis test With n = 100 and p = 0.66,state the conclusion.

For the following hypothesis: With n = 20, = 71.2,s = 6.9,and α = 0.1,state the decision rule in terms of the critical value of the test statistic.

If a hypothesis test is conducted for a population mean,a null and alternative hypothesis of the form: H₀ : μ = 100 H_A : μ ≠ 100 will result in a one-tailed hypothesis test since the sample result can fall in only one tail.

If an economist wishes to determine whether there is evidence that average family income in a community exceeds $25,000.The best null hypothesis is:

When someone has been accused of a crime the null hypothesis is: H₀ : innocent. In this case,a Type I error would be convicting an innocent person.

When a battery company claims that their batteries last longer than 100 hours and a consumer group wants to test this claim,the hypotheses should be: H₀ : μ ≤ 100 H_A : μ > 100

The reason for using the t-distribution in a hypothesis test about the population mean is:

In a hypothesis test,the p-value measures the probability that the alternative hypothesis is true.

For the following hypothesis test: With n = 64 and p = 0.42,state the calculated value of the test statistic

The Where,Why,and How of Data Collection

Graphs,Charts and Tablesdescribing Your Data

Describing Data Using Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Introduction to Continuous Probability Distributions

Introduction to Sampling Distributions

Estimating Single Population Parameters

Estimation and Hypothesis Testing for Two Population Parameters

Hypothesis Tests and Estimation for Population Variances

Analysis of Variance

Goodness-Of-Fit Tests and Contingency Analysis

Introduction to Linear Regression and Correlation Analysis

Multiple Regression Analysis and Model Building

Analyzing and Forecasting Time-Series Data

Introduction to Nonparametric Statistics

Introduction to Quality and Statistical Process Control

Filters

Exam 9: Introduction to Hypothesis Testing

If a decision maker wishes to reduce the chance of making a Type II error,one option is to increase the sample size.

When using the t-distribution in a hypothesis test,the population does not need to be assumed normally distributed.

For the following hypothesis test: With n = 15,s = 7.5,and = 62.2,state the decision rule in terms of the critical value of the test statistic

For a given sample size n,if the level of significance (α)is decreased,the power of the test:

For the following hypothesis test With n = 100 and p = 0.66,state the conclusion.

For the following hypothesis: With n = 20, = 71.2,s = 6.9,and α = 0.1,state the decision rule in terms of the critical value of the test statistic.

If a hypothesis test is conducted for a population mean,a null and alternative hypothesis of the form: H0 : μ = 100 HA : μ ≠ 100 will result in a one-tailed hypothesis test since the sample result can fall in only one tail.

If an economist wishes to determine whether there is evidence that average family income in a community exceeds $25,000.The best null hypothesis is:

When someone has been accused of a crime the null hypothesis is: H0 : innocent. In this case,a Type I error would be convicting an innocent person.

When a battery company claims that their batteries last longer than 100 hours and a consumer group wants to test this claim,the hypotheses should be: H0 : μ ≤ 100 HA : μ > 100

The reason for using the t-distribution in a hypothesis test about the population mean is:

In a hypothesis test,the p-value measures the probability that the alternative hypothesis is true.

For the following hypothesis test: With n = 64 and p = 0.42,state the calculated value of the test statistic

The Where,Why,and How of Data Collection

Graphs,Charts and Tablesdescribing Your Data

Describing Data Using Numerical Measures

Introduction to Probability

Discrete Probability Distributions

Introduction to Continuous Probability Distributions

Introduction to Sampling Distributions

Estimating Single Population Parameters

Estimation and Hypothesis Testing for Two Population Parameters

Hypothesis Tests and Estimation for Population Variances

Analysis of Variance

Goodness-Of-Fit Tests and Contingency Analysis

Introduction to Linear Regression and Correlation Analysis

Multiple Regression Analysis and Model Building

Analyzing and Forecasting Time-Series Data

Introduction to Nonparametric Statistics

Introduction to Quality and Statistical Process Control

Filters

If a hypothesis test is conducted for a population mean,a null and alternative hypothesis of the form: H₀ : μ = 100 H_A : μ ≠ 100 will result in a one-tailed hypothesis test since the sample result can fall in only one tail.

When someone has been accused of a crime the null hypothesis is: H₀ : innocent. In this case,a Type I error would be convicting an innocent person.

When a battery company claims that their batteries last longer than 100 hours and a consumer group wants to test this claim,the hypotheses should be: H₀ : μ ≤ 100 H_A : μ > 100