Exam 10: Introduction to Estimation

After constructing a confidence interval estimate for a population mean, you believe that the interval is useless because it is too wide. In order to correct this problem, you need to:

(Multiple Choice)

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Question 61

A point estimator is defined as:

(Multiple Choice)

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Question 62

The confidence ____________________ is the chance that the interval contains the parameter, over repeated sampling.

(Short Answer)

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Question 63

The error of estimation is the ____________________ between an estimator and the parameter.

(Short Answer)

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Question 64

The width of a 95% confidence interval is 0.95.

(True/False)

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Question 65

The letter $\alpha$ in the formula for constructing a confidence interval estimate of the population mean is:

(Multiple Choice)

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Question 66

The lower limit of the 90% confidence interval for $\mu$ , where n = 64, $\bar { x }$ = 70, and $\sigma$ = 20, is 65.89.

(True/False)

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Question 67

If there are two unbiased estimators of the same parameter, the one whose variance is smaller is said to be relatively more ____________________.

(Short Answer)

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Question 68

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 population standard deviation is changed to 2.

(Short Answer)

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Question 69

Define unbiasedness.

(Short Answer)

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Question 70

Suppose a 95% confidence interval for $\mu$ turns out to be (1,000, 2,100). What does it mean to be 95% confident?

(Multiple Choice)

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Question 71

An unbiased estimator has an average value (across all samples) equal to the population parameter.

(True/False)

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Question 72

The width of the confidence interval estimate of the population mean $\mu$ is a function of only two quantities: the population standard deviation $\sigma$ and the sample size n.

(True/False)

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Question 73

We do not have control over the population standard deviation when forming a confidence interval, but we can control the and the .

(Essay)

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Question 74

In the formula $\bar { x } \pm z _ { a / 2 } \sigma / \sqrt { n }$ , the $\alpha$ / 2 refers to:

(Multiple Choice)

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Question 75

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 5.0 hours.

(Short Answer)

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Question 76

estimators reflect the effects of larger sample sizes, but estimators do not.

(Short Answer)

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Question 77

It is intuitively reasonable to expect that a larger sample will produce more ____________________ results.

(Short Answer)

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Question 78

The sample variance s² is an unbiased estimator of the population variance $\sigma$ ² when the denominator of s² is n.

(True/False)

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Question 79

An interval estimate is a range of values within which the actual value of the population parameter, such as $\mu$ , may fall.

(True/False)

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Question 80

Showing 61 - 80 of 152

After constructing a confidence interval estimate for a population mean, you believe that the interval is useless because it is too wide. In order to correct this problem, you need to:

A point estimator is defined as:

The confidence ____________________ is the chance that the interval contains the parameter, over repeated sampling.

The error of estimation is the ____________________ between an estimator and the parameter.

The width of a 95% confidence interval is 0.95.

The letter $\alpha$ in the formula for constructing a confidence interval estimate of the population mean is:

The lower limit of the 90% confidence interval for $\mu$ , where n = 64, $\bar { x }$ = 70, and $\sigma$ = 20, is 65.89.

If there are two unbiased estimators of the same parameter, the one whose variance is smaller is said to be relatively more ____________________.

Define unbiasedness.

Suppose a 95% confidence interval for $\mu$ turns out to be (1,000, 2,100). What does it mean to be 95% confident?

An unbiased estimator has an average value (across all samples) equal to the population parameter.

The width of the confidence interval estimate of the population mean $\mu$ is a function of only two quantities: the population standard deviation $\sigma$ and the sample size n.

We do not have control over the population standard deviation when forming a confidence interval, but we can control the and the .

In the formula $\bar { x } \pm z _ { a / 2 } \sigma / \sqrt { n }$ , the $\alpha$ / 2 refers to:

estimators reflect the effects of larger sample sizes, but estimators do not.

It is intuitively reasonable to expect that a larger sample will produce more ____________________ results.

The sample variance s² is an unbiased estimator of the population variance $\sigma$ ² when the denominator of s² is n.

An interval estimate is a range of values within which the actual value of the population parameter, such as $\mu$ , may fall.

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

After constructing a confidence interval estimate for a population mean, you believe that the interval is useless because it is too wide. In order to correct this problem, you need to:

A point estimator is defined as:

The confidence ____________________ is the chance that the interval contains the parameter, over repeated sampling.

The error of estimation is the ____________________ between an estimator and the parameter.

The width of a 95% confidence interval is 0.95.

The letter α\alphaα in the formula for constructing a confidence interval estimate of the population mean is:

The lower limit of the 90% confidence interval for μ\muμ , where n = 64, xˉ\bar { x }xˉ = 70, and σ\sigmaσ = 20, is 65.89.

If there are two unbiased estimators of the same parameter, the one whose variance is smaller is said to be relatively more ____________________.

Define unbiasedness.

Suppose a 95% confidence interval for μ\muμ turns out to be (1,000, 2,100). What does it mean to be 95% confident?

An unbiased estimator has an average value (across all samples) equal to the population parameter.

The width of the confidence interval estimate of the population mean μ\muμ is a function of only two quantities: the population standard deviation σ\sigmaσ and the sample size n.

We do not have control over the population standard deviation when forming a confidence interval, but we can control the ____________________ and the ____________________.

In the formula xˉ±za/2σ/n\bar { x } \pm z _ { a / 2 } \sigma / \sqrt { n }xˉ±za/2​σ/n​ , the α\alphaα / 2 refers to:

____________________ estimators reflect the effects of larger sample sizes, but ____________________ estimators do not.

It is intuitively reasonable to expect that a larger sample will produce more ____________________ results.

The sample variance s2 is an unbiased estimator of the population variance σ\sigmaσ 2 when the denominator of s2 is n.

An interval estimate is a range of values within which the actual value of the population parameter, such as μ\muμ , may fall.

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

The letter $\alpha$ in the formula for constructing a confidence interval estimate of the population mean is:

The lower limit of the 90% confidence interval for $\mu$ , where n = 64, $\bar { x }$ = 70, and $\sigma$ = 20, is 65.89.

Suppose a 95% confidence interval for $\mu$ turns out to be (1,000, 2,100). What does it mean to be 95% confident?

The width of the confidence interval estimate of the population mean $\mu$ is a function of only two quantities: the population standard deviation $\sigma$ and the sample size n.

We do not have control over the population standard deviation when forming a confidence interval, but we can control the and the .

In the formula $\bar { x } \pm z _ { a / 2 } \sigma / \sqrt { n }$ , the $\alpha$ / 2 refers to:

estimators reflect the effects of larger sample sizes, but estimators do not.

The sample variance s² is an unbiased estimator of the population variance $\sigma$ ² when the denominator of s² is n.

An interval estimate is a range of values within which the actual value of the population parameter, such as $\mu$ , may fall.