Exam 7: Estimating Parameters and Determining Sample Sizes

Solve the problem. -A researcher is interested in estimating the proportion of voters who favor a tax on e-commerce. Based on a sample of 250 people, she obtains the following 99% confidence interval for the population proportion, P: 0.113 < p < 0.171. Which of the statements below is a valid interpretation of this confidence interval?

(Multiple Choice)

5.0/5

(39)

Question 141

Use the given data to find the minimum sample size required to estimate the population proportion. -Margin of error: 0.007; confidence level: 99%; from a prior study, $\hat { p }$ is estimated by 0.255.

(Multiple Choice)

4.8/5

(24)

Question 142

Fill in the blank: The critical value $t _ { \alpha / 2 }$ that corresponds to a ________% confidence level is 2.33.

(Multiple Choice)

4.9/5

(36)

Question 143

Find the value of $\mathrm { Z } _ { \alpha / 2 }$ that corresponds to a confidence level of 89.48%.

(Multiple Choice)

4.9/5

(35)

Question 144

Use the given information to find the minimum sample size required to estimate an unknown population mean $\mu$ -Margin of error: $126, confidence level: 99%, $\sigma = \$ 512$

(Multiple Choice)

4.8/5

(39)

Question 145

Find the critical value $\mathrm { z } _ { \alpha / 2 }$ that corresponds to a 91% confidence level.

(Multiple Choice)

4.8/5

(38)

Question 146

Identify the distribution that applies to the following situation: In constructing a confidence interval ofσ you have 50 sample values and they appear to be from a population with A skewed distribution.

(Multiple Choice)

4.8/5

(35)

Question 147

A laboratory tested 82 chicken eggs and found that the mean amount of cholesterol was 228 milligrams with $\sigma =$ $19.0$ milligrams. Construct a $95 \%$ confidence interval for the true mean cholesterol content, $\mu$ , of all such eggs.

(Multiple Choice)

4.8/5

(40)

Question 148

Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. $n = 130 , x = 69 ; 90 \%$ confidence

(Multiple Choice)

4.8/5

(39)

Question 149

Solve the problem. Round the point estimate to the nearest thousandth. -445 randomly selected light bulbs were tested in a laboratory, 316 lasted more than 500 hours. Find a point estimate of the proportion of all light bulbs that last more than 500 hours.

(Multiple Choice)

4.9/5

(39)

Question 150

Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. -Of 118 randomly selected adults, 34 were found to have high blood pressure. Construct a 95% confidence interval for the true percentage of all adults that have high blood pressure.

(Multiple Choice)

4.8/5

(42)

Question 151

Use the given degree of confidence and sample data to construct a confidence interval for the population mean $\mu$ . Assume that the population has a normal distribution. -Thirty randomly selected students took the calculus final. If the sample mean was 95 and the standard deviation was 6.6, construct a 99% confidence interval for the mean score of all students.

(Multiple Choice)

4.8/5

(50)

Question 152

Use the given degree of confidence and sample data to construct a confidence interval for the population mean µ. Assume that the population has a normal distribution. Thirty randomly selected students took the calculus final. If the sample mean was 95 and the standard deviation was 6.6, Construct a 99% confidence interval for the mean score of all students.

(Multiple Choice)

4.8/5

(44)

Question 153

You want to be $95 \%$ confident that the sample variance is within $40 \%$ of the population variance. Find the appropriate minimum sample size.

(Multiple Choice)

4.9/5

(39)

Question 154

Use the given data to find the minimum sample size required to estimate the population proportion. -Margin of error: $0.008$ ; confidence level: $99 \% ; \hat { \mathrm { p } }$ and $\hat { \mathrm { q } }$ unknown

(Multiple Choice)

4.7/5

(34)

Question 155

Use the given degree of confidence and sample data to find a confidence interval for the population standard deviation σ. Assume that the population has a normal distribution. Round the confidence interval limits to the same number of decimal places as the sample standard deviation. -The mean replacement time for a random sample of 20 washing machines is 10.9 years and the standard deviation is 2.7 years. Construct a 99% confidence interval for the standard deviation, σ, of the replacement Times of all washing machines of this type.

(Multiple Choice)

4.8/5

(33)

Question 156

Six human skulls from around 4000 B.C. were measured, and the lengths have a mean of 94.2 mm and a standard deviation of 4.9 mm. If you want to construct a 95% confidence interval estimate of the mean length of skulls, what requirements must be satisfied?

(Essay)

4.8/5

(34)

Question 157

Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. $n = 195 , x = 162 ; 95 \% \text { confidence }$

(Multiple Choice)

4.8/5

(40)

Question 158

Use the given degree of confidence and sample data to construct a confidence interval for the population mean $\mu$ . Assume that the population has a normal distribution. -A laboratory tested twelve chicken eggs and found that the mean amount of cholesterol was 185 milligrams with s = 17.6 milligrams. Construct a 95% confidence interval for the true mean cholesterol content of all such Eggs.

(Multiple Choice)

4.9/5

(38)

Question 159

Use the given data to find the minimum sample size required to estimate the population proportion. -Margin of error: 0.04; confidence level: 99%; from a prior study, $\hat { \mathrm { p } }$ is estimated by 0.12.

(Multiple Choice)

4.8/5

(39)

Question 160

Showing 141 - 160 of 170

Use the given data to find the minimum sample size required to estimate the population proportion. -Margin of error: 0.007; confidence level: 99%; from a prior study, $\hat { p }$ is estimated by 0.255.

Fill in the blank: The critical value $t _ { \alpha / 2 }$ that corresponds to a ________% confidence level is 2.33.

Find the value of $\mathrm { Z } _ { \alpha / 2 }$ that corresponds to a confidence level of 89.48%.

Use the given information to find the minimum sample size required to estimate an unknown population mean $\mu$ -Margin of error: $126, confidence level: 99%, $\sigma = \$ 512$

Find the critical value $\mathrm { z } _ { \alpha / 2 }$ that corresponds to a 91% confidence level.

Identify the distribution that applies to the following situation: In constructing a confidence interval ofσ you have 50 sample values and they appear to be from a population with A skewed distribution.

A laboratory tested 82 chicken eggs and found that the mean amount of cholesterol was 228 milligrams with $\sigma =$ $19.0$ milligrams. Construct a $95 \%$ confidence interval for the true mean cholesterol content, $\mu$ , of all such eggs.

Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. $n = 130 , x = 69 ; 90 \%$ confidence

Solve the problem. Round the point estimate to the nearest thousandth. -445 randomly selected light bulbs were tested in a laboratory, 316 lasted more than 500 hours. Find a point estimate of the proportion of all light bulbs that last more than 500 hours.

Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. -Of 118 randomly selected adults, 34 were found to have high blood pressure. Construct a 95% confidence interval for the true percentage of all adults that have high blood pressure.

You want to be $95 \%$ confident that the sample variance is within $40 \%$ of the population variance. Find the appropriate minimum sample size.

Use the given data to find the minimum sample size required to estimate the population proportion. -Margin of error: $0.008$ ; confidence level: $99 \% ; \hat { \mathrm { p } }$ and $\hat { \mathrm { q } }$ unknown

Six human skulls from around 4000 B.C. were measured, and the lengths have a mean of 94.2 mm and a standard deviation of 4.9 mm. If you want to construct a 95% confidence interval estimate of the mean length of skulls, what requirements must be satisfied?

Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. $n = 195 , x = 162 ; 95 \% \text { confidence }$

Use the given data to find the minimum sample size required to estimate the population proportion. -Margin of error: 0.04; confidence level: 99%; from a prior study, $\hat { \mathrm { p } }$ is estimated by 0.12.

Introduction to Statistics

Exploring Data With Tables and Graphs

Describing, Exploring, and Comparing Data

Probability

Discrete Probability Distributions

Normal Probability Distributions

Hypothesis Testing

Inferences From Two Samples

Correlation and Regression

Goodness-Of-Fit and Contingency Tables

Analysis of Variance

Nonparametric Tests

Statistical Process Control

Filters

Exam 7: Estimating Parameters and Determining Sample Sizes

Use the given data to find the minimum sample size required to estimate the population proportion. -Margin of error: 0.007; confidence level: 99%; from a prior study, p^\hat { p }p^​ is estimated by 0.255.

Fill in the blank: The critical value tα/2t _ { \alpha / 2 }tα/2​ that corresponds to a ________% confidence level is 2.33.

Find the value of Zα/2\mathrm { Z } _ { \alpha / 2 }Zα/2​ that corresponds to a confidence level of 89.48%.

Use the given information to find the minimum sample size required to estimate an unknown population mean μ\muμ -Margin of error: $126, confidence level: 99%, σ=$512\sigma = \$ 512σ=$512

Find the critical value zα/2\mathrm { z } _ { \alpha / 2 }zα/2​ that corresponds to a 91% confidence level.

Identify the distribution that applies to the following situation: In constructing a confidence interval ofσ you have 50 sample values and they appear to be from a population with A skewed distribution.

A laboratory tested 82 chicken eggs and found that the mean amount of cholesterol was 228 milligrams with σ=\sigma =σ= 19.019.019.0 milligrams. Construct a 95%95 \%95% confidence interval for the true mean cholesterol content, μ\muμ , of all such eggs.

Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. n=130,x=69;90%n = 130 , x = 69 ; 90 \%n=130,x=69;90% confidence

Solve the problem. Round the point estimate to the nearest thousandth. -445 randomly selected light bulbs were tested in a laboratory, 316 lasted more than 500 hours. Find a point estimate of the proportion of all light bulbs that last more than 500 hours.

You want to be 95%95 \%95% confident that the sample variance is within 40%40 \%40% of the population variance. Find the appropriate minimum sample size.

Use the given data to find the minimum sample size required to estimate the population proportion. -Margin of error: 0.0080.0080.008 ; confidence level: 99%;p^99 \% ; \hat { \mathrm { p } }99%;p^​ and q^\hat { \mathrm { q } }q^​ unknown

Six human skulls from around 4000 B.C. were measured, and the lengths have a mean of 94.2 mm and a standard deviation of 4.9 mm. If you want to construct a 95% confidence interval estimate of the mean length of skulls, what requirements must be satisfied?

Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. n=195,x=162;95% confidence n = 195 , x = 162 ; 95 \% \text { confidence }n=195,x=162;95% confidence

Use the given data to find the minimum sample size required to estimate the population proportion. -Margin of error: 0.04; confidence level: 99%; from a prior study, p^\hat { \mathrm { p } }p^​ is estimated by 0.12.

Introduction to Statistics

Exploring Data With Tables and Graphs

Describing, Exploring, and Comparing Data

Probability

Discrete Probability Distributions

Normal Probability Distributions

Hypothesis Testing

Inferences From Two Samples

Correlation and Regression

Goodness-Of-Fit and Contingency Tables

Analysis of Variance

Nonparametric Tests

Statistical Process Control

Filters

Use the given data to find the minimum sample size required to estimate the population proportion. -Margin of error: 0.007; confidence level: 99%; from a prior study, $\hat { p }$ is estimated by 0.255.

Fill in the blank: The critical value $t _ { \alpha / 2 }$ that corresponds to a ________% confidence level is 2.33.

Find the value of $\mathrm { Z } _ { \alpha / 2 }$ that corresponds to a confidence level of 89.48%.

Use the given information to find the minimum sample size required to estimate an unknown population mean $\mu$ -Margin of error: $126, confidence level: 99%, $\sigma = \$ 512$

Find the critical value $\mathrm { z } _ { \alpha / 2 }$ that corresponds to a 91% confidence level.

A laboratory tested 82 chicken eggs and found that the mean amount of cholesterol was 228 milligrams with $\sigma =$ $19.0$ milligrams. Construct a $95 \%$ confidence interval for the true mean cholesterol content, $\mu$ , of all such eggs.

Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. $n = 130 , x = 69 ; 90 \%$ confidence

You want to be $95 \%$ confident that the sample variance is within $40 \%$ of the population variance. Find the appropriate minimum sample size.

Use the given data to find the minimum sample size required to estimate the population proportion. -Margin of error: $0.008$ ; confidence level: $99 \% ; \hat { \mathrm { p } }$ and $\hat { \mathrm { q } }$ unknown

Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. $n = 195 , x = 162 ; 95 \% \text { confidence }$

Use the given data to find the minimum sample size required to estimate the population proportion. -Margin of error: 0.04; confidence level: 99%; from a prior study, $\hat { \mathrm { p } }$ is estimated by 0.12.