Rechargeable Batteries A researcher wants to study the average lifetime of a certain brand of rechargeable batteries (in hours).In testing the hypotheses,HS1U1B10S1U1B0: $\mu$ = 950 hours vs.HS1U1B11S1U1B0:$\mu$ $\neq$ 950 hours,a random sample of 25 rechargeable batteries is drawn from a normal population whose standard deviation is 200 hours. -{Rechargeable Batteries Narrative} Recalculate $\beta$ if n is increased from 25 to 40.

@#LAT-DLM&= P(897.98 < @#LAT-DLM& < 1002

In testing the hypotheses H0: $\mu$ = 800 vs.H1: $\mu$ $\neq$ 800,if the value of the test statistic equals 1.75,then the p-value is:

A) 0.0401 B) 0.0802 C) 0.4599 D) 0.9599 A) 0.0401 B) 0.0802 C) 0.4599 D) 0.9599

Marathon Runners A researcher wants to study the average miles run per day for marathon runners.In testing the hypotheses: HS1U1B10S1U1B0: $\mu$= 25 miles vs.HS1U1B11S1U1B0: $\mu$$\neq$ 25 miles,a random sample of 36 marathon runners drawn from a normal population whose standard deviation is 10,produced a mean of 22.8 miles weekly. -{Marathon Runners Narrative} Compute the p-value.

The answer of Marathon Runners A researcher wants to study the...

Exam 11: Introduction to Hypothesis Testing

We have created a 90% confidence interval for $\mu$ with the result (25,32).What conclusion will we make if we test H₀: $\mu$ = 28 vs.H₁: $\mu$ $\neq$ 28 at $\alpha$ = 0.10?

(Multiple Choice)

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Question 41

Production Filling A production filling operation has a historical standard deviation of 6 ounces.When in proper adjustment,the mean filling weight for the production process is 50 ounces.A quality control inspector periodically selects at random 36 containers and uses the sample mean filling weight to see if the process is in proper adjustment. -{Production Filling Narrative} Using a standardized test statistic,test the hypothesis at the 5% level of significance if the sample mean filling weight is 48.6 ounces.

(Essay)

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Question 42

In testing a hypothesis,statements for the null and alternative hypotheses as well as the selection of the level of significance should precede the collection and examination of the data.

(True/False)

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Question 43

Suppose that in a certain hypothesis test the null hypothesis is rejected at the .10 level;it is also rejected at the .05 level;however it cannot be rejected at the .01 level.The most accurate statement that can be made about the p-value for this test is that:

(Multiple Choice)

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Question 44

Rechargeable Batteries A researcher wants to study the average lifetime of a certain brand of rechargeable batteries (in hours).In testing the hypotheses,H₀: $\mu$ = 950 hours vs.H₁: $\mu$ $\neq$ 950 hours,a random sample of 25 rechargeable batteries is drawn from a normal population whose standard deviation is 200 hours. -{Rechargeable Batteries Narrative} Recalculate $\beta$ if n is increased from 25 to 40.

(Essay)

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Question 45

The owner of a local nightclub has recently surveyed a random sample of n = 300 customers of the club.She would now like to determine whether or not the mean age of her customers is over 35.If so,she plans to alter the entertainment to appeal to an older crowd.If not,no entertainment changes will be made.Suppose she found that the sample mean was 35.5 years and the population standard deviation was 5 years.What is the p-value associated with the test statistic?

(Multiple Choice)

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Question 46

In testing the hypotheses H₀: $\mu$ = 800 vs.H₁: $\mu$ $\neq$ 800,if the value of the test statistic equals 1.75,then the p-value is:

(Multiple Choice)

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Question 47

Which of the following conclusions is not an appropriate conclusion from a hypothesis test?

(Multiple Choice)

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Question 48

Marathon Runners A researcher wants to study the average miles run per day for marathon runners.In testing the hypotheses: H₀: $\mu$ = 25 miles vs.H₁: $\mu$ $\neq$ 25 miles,a random sample of 36 marathon runners drawn from a normal population whose standard deviation is 10,produced a mean of 22.8 miles weekly. -{Marathon Runners Narrative} Compute the p-value.

(Essay)

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Question 49

The ____________________ of a test is the probability of observing a test statistic at least as extreme as the one from your sample,given that H₀ is true.

(Essay)

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Question 50

It is possible to directly compare the results of a confidence interval estimate to the results obtained by testing a null hypothesis if:

(Multiple Choice)

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Question 51

The larger the p-value,the more likely one is to reject the null hypothesis.

(True/False)

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Question 52

A null hypothesis is a statement about the value of a population parameter.

(True/False)

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Question 53

Suppose that we reject a null hypothesis at the 0.05 level of significance.Then for which of the following $\alpha$ -values do we also reject the null hypothesis?

(Multiple Choice)

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Question 54

For a given level of significance,if the sample size is increased,the probability of committing a Type I error will decrease.

(True/False)

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Question 55

The p-value criterion for hypothesis testing is to reject the null hypothesis if:

(Multiple Choice)

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Question 56

A social researcher claims that the average adult listens to the radio less than 26 hours per week.He collects data on 25 individuals' radio listening habits and finds that the mean number of hours that the 25 people spent listening to the radio was 22.4 hours.If the population standard deviation is known to be eight hours,can we conclude at the 1% significance level that he is right?

(Essay)

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Question 57

There are two approaches to making a decision in a hypothesis test once the test statistic has been calculated.One approach is the rejection region method.The other approach is the ____________________ method.

(Essay)

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Question 58

Which of the following statements is false regarding the operating characteristic (OC)curve?

(Multiple Choice)

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Question 59

The probability of a Type II error is denoted by:

(Multiple Choice)

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Question 60

Showing 41 - 60 of 179

Exam 11: Introduction to Hypothesis Testing

We have created a 90% confidence interval for μ\muμ with the result (25,32).What conclusion will we make if we test H0: μ\muμ = 28 vs.H1: μ\muμ ≠\neq= 28 at α\alphaα = 0.10?

In testing a hypothesis,statements for the null and alternative hypotheses as well as the selection of the level of significance should precede the collection and examination of the data.

Suppose that in a certain hypothesis test the null hypothesis is rejected at the .10 level;it is also rejected at the .05 level;however it cannot be rejected at the .01 level.The most accurate statement that can be made about the p-value for this test is that:

In testing the hypotheses H0: μ\muμ = 800 vs.H1: μ\muμ ≠\neq= 800,if the value of the test statistic equals 1.75,then the p-value is:

Which of the following conclusions is not an appropriate conclusion from a hypothesis test?

The ____________________ of a test is the probability of observing a test statistic at least as extreme as the one from your sample,given that H0 is true.

It is possible to directly compare the results of a confidence interval estimate to the results obtained by testing a null hypothesis if:

The larger the p-value,the more likely one is to reject the null hypothesis.

A null hypothesis is a statement about the value of a population parameter.

Suppose that we reject a null hypothesis at the 0.05 level of significance.Then for which of the following α\alphaα -values do we also reject the null hypothesis?

For a given level of significance,if the sample size is increased,the probability of committing a Type I error will decrease.

The p-value criterion for hypothesis testing is to reject the null hypothesis if:

There are two approaches to making a decision in a hypothesis test once the test statistic has been calculated.One approach is the rejection region method.The other approach is the ____________________ method.

Which of the following statements is false regarding the operating characteristic (OC)curve?

The probability of a Type II error is denoted by:

What Is Statistics

Graphical Descriptive Techniques I

Graphical Descriptive Techniques II

A: Numerical Descriptive Techniques

B: Numerical Descriptive Techniques

C: Numerical Descriptive Techniques

Data Collection and Sampling

Probability

A: Random Variables and Discrete Probability Distributions

B: Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Introduction to Estimation

Inference About a Population

Inference About Comparing Two Populations

Analysis of Variance

Chi-Squared Tests

A: Simple Linear Regression and Correlation

B: Simple Linear Regression and Correlation

Multiple Regression

Model Building

Nonparametric Statistics

Time-Series Analysis and Forecasting

Statistical Process Control

Decision Analysis

Conclusion

Filters

We have created a 90% confidence interval for $\mu$ with the result (25,32).What conclusion will we make if we test H₀: $\mu$ = 28 vs.H₁: $\mu$ $\neq$ 28 at $\alpha$ = 0.10?

In testing the hypotheses H₀: $\mu$ = 800 vs.H₁: $\mu$ $\neq$ 800,if the value of the test statistic equals 1.75,then the p-value is:

The ____________________ of a test is the probability of observing a test statistic at least as extreme as the one from your sample,given that H₀ is true.

Suppose that we reject a null hypothesis at the 0.05 level of significance.Then for which of the following $\alpha$ -values do we also reject the null hypothesis?