Exam 10: Introduction to Estimation

In developing an interval estimate for a population mean, the population standard deviation $\sigma$ was assumed to be 10. The interval estimate was 50.92 $\pm$ 2.14. Had $\pm$ equaled 20, the interval estimate would be

(Multiple Choice)

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Question 81

A confidence interval is a probability statement about the ____________________ mean.

(Short Answer)

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Question 82

Define consistency.

(Short Answer)

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Question 83

In this chapter you need four values to construct the confidence interval estimate of $\mu$ . They are the sample mean, the sample size, the population standard deviation, and the confidence level.

(True/False)

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Question 84

It is ____________________ to say that a 95% confidence interval means there is a 95% chance that the parameter lies in that confidence interval.

(Short Answer)

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Question 85

NARRBEGIN: Time Spent Playing Comput Time Spent Playing Computer Games Suppose that the amount of time teenagers spend playing computer games per week is normally distributed with a standard deviation of 1.5 hours. A sample of 100 teenagers is selected at random, and the sample mean computed as 6.5 hours.NARREND -{Time Spent Playing Computer Games Narrative} Determine the 95% confidence interval estimate of the population mean if the sample mean is changed to 8.5 hours.

(Short Answer)

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Question 86

In developing an interval estimate for a population mean, the population standard deviation $\sigma$ was assumed to be 8. The interval estimate was 50.0 $\pm$ 2.50. Had $\sigma$ equaled 16, the interval estimate would be 100 $\pm$ 5.0.

(True/False)

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Question 87

Which of the following statements is true?

(Multiple Choice)

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Question 88

An unbiased estimator is said to be consistent if the difference between the estimator and the parameter grows larger as the sample size grows larger.

(True/False)

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Question 89

The problem with relying on a point estimate of a population parameter is that:

(Multiple Choice)

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Question 90

Increasing the sample size fourfold decreases the width of the confidence interval by ____________________.

(Short Answer)

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Question 91

An interval estimate is an estimate of the range for a sample statistic.

(True/False)

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Question 92

Suppose that a 90% confidence interval for $\mu$ is given by $\bar { x } \pm 0.75$ . This notation means that we are 90% confident that $\mu$ falls between $\bar { x } - 0.75$ and $\bar { x } + 0.75$ .

(True/False)

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Question 93

When constructing confidence interval estimate of $\mu$ , doubling the sample size n decreases the width of the interval by half.

(True/False)

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Question 94

The sample mean $\bar { X }$ is a consistent estimator of the population mean $\mu$ .

(True/False)

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Question 95

The larger the confidence level used in constructing a confidence interval estimate of the population mean, the narrower the confidence interval.

(True/False)

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Question 96

Which of the following statements is correct?

(Multiple Choice)

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Question 97

In order to construct a confidence interval estimate of the population mean, the value of the population mean is needed.

(True/False)

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Question 98

If the confidence level is reduced, the confidence interval:

(Multiple Choice)

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Question 99

A market researcher is interested in studying the incomes of consumers in a particular region. The population standard deviation is known to be $1,000. A random sample of 50 individuals resulted in an average income of $15,000. What is the upper end point in a 99% confidence interval for the average income?

(Short Answer)

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Question 100

Showing 81 - 100 of 152

In developing an interval estimate for a population mean, the population standard deviation $\sigma$ was assumed to be 10. The interval estimate was 50.92 $\pm$ 2.14. Had $\pm$ equaled 20, the interval estimate would be

A confidence interval is a probability statement about the ____________________ mean.

Define consistency.

In this chapter you need four values to construct the confidence interval estimate of $\mu$ . They are the sample mean, the sample size, the population standard deviation, and the confidence level.

It is ____________________ to say that a 95% confidence interval means there is a 95% chance that the parameter lies in that confidence interval.

In developing an interval estimate for a population mean, the population standard deviation $\sigma$ was assumed to be 8. The interval estimate was 50.0 $\pm$ 2.50. Had $\sigma$ equaled 16, the interval estimate would be 100 $\pm$ 5.0.

Which of the following statements is true?

An unbiased estimator is said to be consistent if the difference between the estimator and the parameter grows larger as the sample size grows larger.

The problem with relying on a point estimate of a population parameter is that:

Increasing the sample size fourfold decreases the width of the confidence interval by ____________________.

An interval estimate is an estimate of the range for a sample statistic.

Suppose that a 90% confidence interval for $\mu$ is given by $\bar { x } \pm 0.75$ . This notation means that we are 90% confident that $\mu$ falls between $\bar { x } - 0.75$ and $\bar { x } + 0.75$ .

When constructing confidence interval estimate of $\mu$ , doubling the sample size n decreases the width of the interval by half.

The sample mean $\bar { X }$ is a consistent estimator of the population mean $\mu$ .

The larger the confidence level used in constructing a confidence interval estimate of the population mean, the narrower the confidence interval.

Which of the following statements is correct?

In order to construct a confidence interval estimate of the population mean, the value of the population mean is needed.

If the confidence level is reduced, the confidence interval:

What Is Statistics

Graphical Descriptive Techniques I

Graphical Descriptive Techniques II

Numerical Descriptive Techniques

Data Collection and Sampling

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populations

Analysis of Variance

Chi-Squared Tests Optional

Simple Linear Regression and Correlation

Multiple Regression

Filters

Exam 10: Introduction to Estimation

In developing an interval estimate for a population mean, the population standard deviation σ\sigmaσ was assumed to be 10. The interval estimate was 50.92 ±\pm± 2.14. Had ±\pm± equaled 20, the interval estimate would be

A confidence interval is a probability statement about the ____________________ mean.

Define consistency.

In this chapter you need four values to construct the confidence interval estimate of μ\muμ . They are the sample mean, the sample size, the population standard deviation, and the confidence level.

It is ____________________ to say that a 95% confidence interval means there is a 95% chance that the parameter lies in that confidence interval.

In developing an interval estimate for a population mean, the population standard deviation σ\sigmaσ was assumed to be 8. The interval estimate was 50.0 ±\pm± 2.50. Had σ\sigmaσ equaled 16, the interval estimate would be 100 ±\pm± 5.0.

Which of the following statements is true?

An unbiased estimator is said to be consistent if the difference between the estimator and the parameter grows larger as the sample size grows larger.

The problem with relying on a point estimate of a population parameter is that:

Increasing the sample size fourfold decreases the width of the confidence interval by ____________________.

An interval estimate is an estimate of the range for a sample statistic.

Suppose that a 90% confidence interval for μ\muμ is given by xˉ±0.75\bar { x } \pm 0.75xˉ±0.75 . This notation means that we are 90% confident that μ\muμ falls between xˉ−0.75\bar { x } - 0.75xˉ−0.75 and xˉ+0.75\bar { x } + 0.75xˉ+0.75 .

When constructing confidence interval estimate of μ\muμ , doubling the sample size n decreases the width of the interval by half.

The sample mean Xˉ\bar { X }Xˉ is a consistent estimator of the population mean μ\muμ .

The larger the confidence level used in constructing a confidence interval estimate of the population mean, the narrower the confidence interval.

Which of the following statements is correct?

In order to construct a confidence interval estimate of the population mean, the value of the population mean is needed.

If the confidence level is reduced, the confidence interval:

What Is Statistics

Graphical Descriptive Techniques I

Graphical Descriptive Techniques II

Numerical Descriptive Techniques

Data Collection and Sampling

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Introduction to Hypothesis Testing

Inference About a Population

Inference About Comparing Two Populations

Analysis of Variance

Chi-Squared Tests Optional

Simple Linear Regression and Correlation

Multiple Regression

Filters

In developing an interval estimate for a population mean, the population standard deviation $\sigma$ was assumed to be 10. The interval estimate was 50.92 $\pm$ 2.14. Had $\pm$ equaled 20, the interval estimate would be

In this chapter you need four values to construct the confidence interval estimate of $\mu$ . They are the sample mean, the sample size, the population standard deviation, and the confidence level.

In developing an interval estimate for a population mean, the population standard deviation $\sigma$ was assumed to be 8. The interval estimate was 50.0 $\pm$ 2.50. Had $\sigma$ equaled 16, the interval estimate would be 100 $\pm$ 5.0.

Suppose that a 90% confidence interval for $\mu$ is given by $\bar { x } \pm 0.75$ . This notation means that we are 90% confident that $\mu$ falls between $\bar { x } - 0.75$ and $\bar { x } + 0.75$ .

When constructing confidence interval estimate of $\mu$ , doubling the sample size n decreases the width of the interval by half.

The sample mean $\bar { X }$ is a consistent estimator of the population mean $\mu$ .