Exam 10: Introduction to Estimation

When constructing confidence interval for a parameter,we generally set the confidence level 1 - $\alpha$ close to 1 (usually between 0.90 and 0.99)because it is the probability that the interval includes the actual value of the population parameter.

(True/False)

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Question 121

A point estimate consists of a single sample statistic that is used to estimate the true population parameter.

(True/False)

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Question 122

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

(Essay)

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Question 123

The sample proportion $\hat { P }$ is a consistent estimator of the population proportion p because it is unbiased and the variance of $\hat { P }$ is p(1- p)/ n,which grows smaller as n grows larger.

(True/False)

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Question 124

A 99% confidence interval estimate of the population mean $\mu$ can be interpreted to mean:

(Multiple Choice)

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Question 125

If the population standard deviation is guesstimated,and it turned out to be larger than you assumed,then the sample size you calculated is ____________________ than it needs to be.

(Essay)

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Question 126

Suppose a sample size of 5 has mean 9.60.If the population variance is 5 and the population is normally distributed,the lower limit for a 92% confidence interval is 7.85.

(True/False)

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Question 127

In determining the sample size n needed to estimate the population mean,n decreases as the desired width of the confidence interval decreases.

(True/False)

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Question 128

The sample size needed to estimate a population mean to within 50 units was found to be 97.If the population standard deviation was 250,then the confidence level used was

(Multiple Choice)

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Question 129

One can reduce the width of a confidence interval by taking a smaller sample size.

(True/False)

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Question 130

Conference Rooms Rented A hotel chain wants to estimate the average number of conference rooms rented daily in each month.The population of conference rooms rented daily is assumed to be normally distributed for each with a standard deviation of 24 rooms. -{Conference Rooms Rented Narrative} During February,a sample of 25 days has a sample mean of 37 rooms.Use this information to calculate a 92% confidence interval for the population mean.

(Essay)

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Question 131

The sample size needed to estimate a population mean to within 10 units was found to be 68.If the population standard deviation was 50,then the confidence level used was:

(Multiple Choice)

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Question 132

Statisticians can control the ____________________ of a confidence interval by determining the sample size necessary to produce the desired results.

(Essay)

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Question 133

A confidence interval is an interval estimate for which there is a specified degree of certainty that the actual value of the population parameter will fall within the interval.

(True/False)

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Question 134

The sampling error for a confidence interval is also defined as the of .

(Essay)

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Question 135

The sample size needed to estimate a population mean within 2 units with a 95% confidence when the population standard deviation equals 8 is

(Multiple Choice)

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Question 136

In the formula for a confidence interval for $\mu$ ,1 - $\alpha$ is called the ____________________.

(Essay)

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Question 137

Is the sample mean a consistent estimator of the population mean? Explain

(Essay)

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Question 138

The larger the confidence level,the:

(Multiple Choice)

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Question 139

The difference between the sample statistic and actual value of the population parameter is the confidence level of the estimate.

(True/False)

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Question 140

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Exam 10: Introduction to Estimation

When constructing confidence interval for a parameter,we generally set the confidence level 1 - α\alphaα close to 1 (usually between 0.90 and 0.99)because it is the probability that the interval includes the actual value of the population parameter.

A point estimate consists of a single sample statistic that is used to estimate the true population parameter.

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

The sample proportion P^\hat { P }P^ is a consistent estimator of the population proportion p because it is unbiased and the variance of P^\hat { P }P^ is p(1- p)/ n,which grows smaller as n grows larger.

A 99% confidence interval estimate of the population mean μ\muμ can be interpreted to mean:

If the population standard deviation is guesstimated,and it turned out to be larger than you assumed,then the sample size you calculated is ____________________ than it needs to be.

Suppose a sample size of 5 has mean 9.60.If the population variance is 5 and the population is normally distributed,the lower limit for a 92% confidence interval is 7.85.

In determining the sample size n needed to estimate the population mean,n decreases as the desired width of the confidence interval decreases.

The sample size needed to estimate a population mean to within 50 units was found to be 97.If the population standard deviation was 250,then the confidence level used was

One can reduce the width of a confidence interval by taking a smaller sample size.

The sample size needed to estimate a population mean to within 10 units was found to be 68.If the population standard deviation was 50,then the confidence level used was:

Statisticians can control the ____________________ of a confidence interval by determining the sample size necessary to produce the desired results.

A confidence interval is an interval estimate for which there is a specified degree of certainty that the actual value of the population parameter will fall within the interval.

The sampling error for a confidence interval is also defined as the ____________________ of ____________________.

The sample size needed to estimate a population mean within 2 units with a 95% confidence when the population standard deviation equals 8 is

In the formula for a confidence interval for μ\muμ ,1 - α\alphaα is called the ____________________.

Is the sample mean a consistent estimator of the population mean? Explain

The larger the confidence level,the:

The difference between the sample statistic and actual value of the population parameter is the confidence level of the estimate.

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 Hypothesis Testing

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

When constructing confidence interval for a parameter,we generally set the confidence level 1 - $\alpha$ close to 1 (usually between 0.90 and 0.99)because it is the probability that the interval includes the actual value of the population parameter.

The sample proportion $\hat { P }$ is a consistent estimator of the population proportion p because it is unbiased and the variance of $\hat { P }$ is p(1- p)/ n,which grows smaller as n grows larger.

A 99% confidence interval estimate of the population mean $\mu$ can be interpreted to mean:

The sampling error for a confidence interval is also defined as the of .

In the formula for a confidence interval for $\mu$ ,1 - $\alpha$ is called the ____________________.