____________ is not rejecting H0 when H0 is false.

A) A Type I error B) A Type II error C) The random error D) α A) A Type I error B) A Type II error C) The random error D) α

Exam 9: Hypothesis Testing

When testing a hypothesis about a single mean,if the sample size is 20,the population standard deviation is unknown,and the population is assumed to be a normal distribution,the correct test statistic to use is ___________.

(Multiple Choice)

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Question 41

When applying either the critical value rule or the p-value rule about a single mean,other relevant factors held constant,increasing the level of significance,α,from .05 to .10 will reduce the probability of a Type II error.

(True/False)

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Question 42

A recent study conducted by the state government attempts to determine whether the voting public supports a further increase in cigarette taxes.The opinion poll recently sampled 1,500 voting age citizens.1,020 of the sampled citizens were in favor of an increase in cigarette taxes.The state government would like to decide if there is enough evidence to establish whether the proportion of citizens supporting an increase in cigarette taxes is significantly greater than .66.What is the alternative hypothesis?

(Multiple Choice)

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Question 43

The ____________ hypothesis is not rejected unless there is sufficient sample evidence to do so.

(Multiple Choice)

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Question 44

For the following hypothesis test,where H₀: μ ≤ 10;vs.H_A: μ > 10,we reject H₀ at level of significance α and conclude that the true mean is greater than 10,when the true mean is really 8.Based on this information,we can state that we have

(Multiple Choice)

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Question 45

In order to make statistical inferences about σ² that are valid using a chi-square distribution,the assumption is that the sampled population is also a chi-square distribution.

(True/False)

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Question 46

When applying either the critical value rule or the p-value rule about a single mean,other relevant factors held constant,increasing the level of significance,α,from .05 to .10 will reduce the probability of a Type I error.

(True/False)

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Question 47

Based on a random sample of 25 units of product X,the average weight is 102 lb and the sample standard deviation is 10 lb.We would like to decide if there is enough evidence to establish that the average weight for the population of product X is greater than 100 lb.Assume the population is normally distributed.Using the critical value rule,at α = .05,we do not reject H₀.

(True/False)

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Question 48

We are testing H₀: μ ≥ 22;versus H_A: μ < 22.Given α = .01,n = 100, = 21.431,and σ = 1.295,we should not reject H₀.

(True/False)

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Question 49

Using a χ² test statistic to test the null hypothesis that the variance of a new process is equal to the variance of the current process and when applying the p-value rule,we are rejecting at a p-value less than α,we can conclude that the new process is more consistent than the current process.

(True/False)

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Question 50

The ____________ hypothesis will be accepted only if there is convincing sample evidence that it is true.

(Multiple Choice)

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Question 51

The manager of a grocery store wants to determine whether the amount of water contained in 1-gallon bottles purchased from a nationally known manufacturer actually averages 1 gallon.It is known from the specifications that the standard deviation of the amount of water is equal to 0.02 gallon.A random sample of 32 bottles is selected,and the mean amount of water per 1-gallon bottle is found to be 0.995 gallon.Calculate the test statistic.

(Essay)

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Question 52

____________ is not rejecting H₀ when H₀ is false.

(Multiple Choice)

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Question 53

When the null hypothesis is not rejected,there is no possibility of making a Type I error.

(True/False)

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Question 54

The chi-square distribution is a continuous probability distribution that is skewed to the left.

(True/False)

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Question 55

For the following hypothesis test,where H₀: μ ≤ 10;vs.H_A: μ > 10,we reject H₀ at level of significance α and conclude that the true mean is greater than 10,when the true mean is really 14.Based on this information,we can state that we have

(Multiple Choice)

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Question 56

The level of significance,α,indicates the probability of rejecting a false null hypothesis.

(True/False)

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Question 57

We are testing H₀: μ ≤ 8;versus H_A: μ > 8.Given α = .01,n = 25, = 8.112,and s = .16,we should reject the H₀.(Assume the sample is selected from a normally distributed population. )

(True/False)

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Question 58

The manager of the quality department for a tire manufacturing company wants to know the average tensile strength of rubber used in making a certain brand of radial tire.The population is normally distributed,and the population standard deviation is known.She uses a z test to test the null hypothesis that the mean tensile strength is 800 pounds per square inch.The calculated z test statistic is a positive value that leads to a p-value of .045 for the test.If the significance level (α)is .05,the null hypothesis would be rejected.

(True/False)

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Question 59

As the Type II error,β,of a statistical test increases,the power of the test _____________.

(Multiple Choice)

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Question 60

Showing 41 - 60 of 84

When testing a hypothesis about a single mean,if the sample size is 20,the population standard deviation is unknown,and the population is assumed to be a normal distribution,the correct test statistic to use is ___________.

When applying either the critical value rule or the p-value rule about a single mean,other relevant factors held constant,increasing the level of significance,α,from .05 to .10 will reduce the probability of a Type II error.

The ____________ hypothesis is not rejected unless there is sufficient sample evidence to do so.

For the following hypothesis test,where H₀: μ ≤ 10;vs.H_A: μ > 10,we reject H₀ at level of significance α and conclude that the true mean is greater than 10,when the true mean is really 8.Based on this information,we can state that we have

In order to make statistical inferences about σ² that are valid using a chi-square distribution,the assumption is that the sampled population is also a chi-square distribution.

When applying either the critical value rule or the p-value rule about a single mean,other relevant factors held constant,increasing the level of significance,α,from .05 to .10 will reduce the probability of a Type I error.

We are testing H₀: μ ≥ 22;versus H_A: μ < 22.Given α = .01,n = 100, = 21.431,and σ = 1.295,we should not reject H₀.

Using a χ² test statistic to test the null hypothesis that the variance of a new process is equal to the variance of the current process and when applying the p-value rule,we are rejecting at a p-value less than α,we can conclude that the new process is more consistent than the current process.

The ____________ hypothesis will be accepted only if there is convincing sample evidence that it is true.

____________ is not rejecting H₀ when H₀ is false.

When the null hypothesis is not rejected,there is no possibility of making a Type I error.

The chi-square distribution is a continuous probability distribution that is skewed to the left.

For the following hypothesis test,where H₀: μ ≤ 10;vs.H_A: μ > 10,we reject H₀ at level of significance α and conclude that the true mean is greater than 10,when the true mean is really 14.Based on this information,we can state that we have

The level of significance,α,indicates the probability of rejecting a false null hypothesis.

We are testing H₀: μ ≤ 8;versus H_A: μ > 8.Given α = .01,n = 25, = 8.112,and s = .16,we should reject the H₀.(Assume the sample is selected from a normally distributed population. )

As the Type II error,β,of a statistical test increases,the power of the test _____________.

An Introduction to Business Statistics

Descriptive Statistics: Tabular and Graphical Methods

Descriptive Statistics: Numerical Methods

Probability

Discrete Random Variables

Continuous Random Variables

Sampling and Sampling Distributions

Confidence Intervals

Statistical Inferences for Means and Proportions

Statistical Inferences for Population Variances

Experimental Design and Analysis of Variance

Chi-Square Tests

Simple Linear Regression Analysis

Multiple Regression and Model Building

Time Series Forecasting and Index Numbers

Nonparametric Methods

Decision Theory

Filters

Exam 9: Hypothesis Testing

When testing a hypothesis about a single mean,if the sample size is 20,the population standard deviation is unknown,and the population is assumed to be a normal distribution,the correct test statistic to use is ___________.

When applying either the critical value rule or the p-value rule about a single mean,other relevant factors held constant,increasing the level of significance,α,from .05 to .10 will reduce the probability of a Type II error.

The ____________ hypothesis is not rejected unless there is sufficient sample evidence to do so.

For the following hypothesis test,where H0: μ ≤ 10;vs.HA: μ > 10,we reject H0 at level of significance α and conclude that the true mean is greater than 10,when the true mean is really 8.Based on this information,we can state that we have

In order to make statistical inferences about σ2 that are valid using a chi-square distribution,the assumption is that the sampled population is also a chi-square distribution.

When applying either the critical value rule or the p-value rule about a single mean,other relevant factors held constant,increasing the level of significance,α,from .05 to .10 will reduce the probability of a Type I error.

We are testing H0: μ ≥ 22;versus HA: μ < 22.Given α = .01,n = 100, = 21.431,and σ = 1.295,we should not reject H0.

Using a χ2 test statistic to test the null hypothesis that the variance of a new process is equal to the variance of the current process and when applying the p-value rule,we are rejecting at a p-value less than α,we can conclude that the new process is more consistent than the current process.

The ____________ hypothesis will be accepted only if there is convincing sample evidence that it is true.

____________ is not rejecting H0 when H0 is false.

When the null hypothesis is not rejected,there is no possibility of making a Type I error.

The chi-square distribution is a continuous probability distribution that is skewed to the left.

For the following hypothesis test,where H0: μ ≤ 10;vs.HA: μ > 10,we reject H0 at level of significance α and conclude that the true mean is greater than 10,when the true mean is really 14.Based on this information,we can state that we have

The level of significance,α,indicates the probability of rejecting a false null hypothesis.

We are testing H0: μ ≤ 8;versus HA: μ > 8.Given α = .01,n = 25, = 8.112,and s = .16,we should reject the H0.(Assume the sample is selected from a normally distributed population. )

As the Type II error,β,of a statistical test increases,the power of the test _____________.

An Introduction to Business Statistics

Descriptive Statistics: Tabular and Graphical Methods

Descriptive Statistics: Numerical Methods

Probability

Discrete Random Variables

Continuous Random Variables

Sampling and Sampling Distributions

Confidence Intervals

Statistical Inferences for Means and Proportions

Statistical Inferences for Population Variances

Experimental Design and Analysis of Variance

Chi-Square Tests

Simple Linear Regression Analysis

Multiple Regression and Model Building

Time Series Forecasting and Index Numbers

Nonparametric Methods

Decision Theory

Filters

For the following hypothesis test,where H₀: μ ≤ 10;vs.H_A: μ > 10,we reject H₀ at level of significance α and conclude that the true mean is greater than 10,when the true mean is really 8.Based on this information,we can state that we have

In order to make statistical inferences about σ² that are valid using a chi-square distribution,the assumption is that the sampled population is also a chi-square distribution.

We are testing H₀: μ ≥ 22;versus H_A: μ < 22.Given α = .01,n = 100, = 21.431,and σ = 1.295,we should not reject H₀.

Using a χ² test statistic to test the null hypothesis that the variance of a new process is equal to the variance of the current process and when applying the p-value rule,we are rejecting at a p-value less than α,we can conclude that the new process is more consistent than the current process.

____________ is not rejecting H₀ when H₀ is false.

For the following hypothesis test,where H₀: μ ≤ 10;vs.H_A: μ > 10,we reject H₀ at level of significance α and conclude that the true mean is greater than 10,when the true mean is really 14.Based on this information,we can state that we have

We are testing H₀: μ ≤ 8;versus H_A: μ > 8.Given α = .01,n = 25, = 8.112,and s = .16,we should reject the H₀.(Assume the sample is selected from a normally distributed population. )