Exam 7: Confidence Intervals and Sample Size
Exam 1: The Nature of Probability and Statistics81 Questions
Exam 2: Frequency Distributions and Graphs107 Questions
Exam 3: Data Description127 Questions
Exam 4: Probability and Counting Rules173 Questions
Exam 5: Discrete Probability Distributions117 Questions
Exam 6: The Normal Distribution114 Questions
Exam 7: Confidence Intervals and Sample Size122 Questions
Exam 8: Hypothesis Testing178 Questions
Exam 9: Testing the Difference Between Two Means, Two Variances, and Two Proportions99 Questions
Exam 10: Correlation and Regression73 Questions
Exam 11: Other Chi-Square Tests73 Questions
Exam 12: Analysis of Variance69 Questions
Exam 13: Nonparametric Statistics62 Questions
Exam 14: Sampling and Simulation58 Questions
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The following MINITAB output presents a confidence interval for a proportion.
Variable Sample p 95\% 154 191 0.806283 (0.750234,0.862332)
Fill in the blanks: We are_______ confident that the population mean is between_____ _ and
(Multiple Choice)
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The prices (in dollars) for a graphing calculator are shown below for 8 online vendors. Estimate the population standard deviation in price with 90% confidence.
148 133 136 152
140 143 129 139
(Multiple Choice)
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A study of peach trees found that the average number of peaches per tree was 1025. The standard deviation of the population is 35 peaches per tree. A scientist wishes to find the
99% confidence interval for the mean number of peaches per tree. How many trees does
She need to sample to obtain an average accurate to within 18 peaches per tree?
(Multiple Choice)
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In a survey of 305 registered voters, 130 of them wished to see Mayor Waffleskate lose her next election. Construct a 95% confidence interval for the proportion of registered
Voter who want to see Mayor Waffleskate defeated.
(Multiple Choice)
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A new-car dealer is leasing various brand-new randomly selected models for the monthly rates (in dollars) listed below. Estimate the true population variance (and standard deviation) in leasing
Rates with 90% confidence. Assume the variable is normally distributed.
165 173 200 241 241 245
(Multiple Choice)
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In a study using 8 samples, and in which the population variance is unknown, the distribution that should be used to calculate confidence intervals is
(Multiple Choice)
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A college believes that 26% of applicants to that school have parents who have remarried. How large a sample is needed to estimate the true proportion of students who
Have parents who have remarried to within 5 percentage points with 95% confidence?
(Multiple Choice)
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The following MINITAB output presents a confidence interval for a population mean.
Variable Mean StDev SE Mean 99\% CI x 30 89.4928 33.3397 6.0870 (72.693,106.293)
Find the critical value for a confidence interval.
(Multiple Choice)
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An interval estimate may or may not contain the true value of the parameter being
estimated.
(True/False)
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A sample of 35 different payroll departments found that employees worked an average of days a year. If the population standard deviation is days, find the confidence interval for the average number of days worked by all employees who are paid through payroll departments.
(Multiple Choice)
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A student looked up the number of years served by 35 of the more than 100 Supreme Court justices. The average number of years served by those 35 justices was 13.8. If the
Standard deviation of the entire population is 7.3 years, find the 95% confidence interval
For the average number of years served by all Supreme Court justices.
(Multiple Choice)
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According to a study of 90 truckers, a trucker drives, on average, 540 miles per
day. If the standard deviation of the miles driven per day for the population of
truckers is 40, find the 99% confidence interval of the mean number of miles
driven per day by all truckers.
(Short Answer)
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A researcher wants to construct a 90% confidence interval for the proportion of elementary school students in Seward County who receive free or reduced-price school
Lunches. A state-wide survey indicates that the proportion is 0.50. Using this estimate,
What sample size is needed so that the confidence interval will have a margin of error of
0)1?
(Multiple Choice)
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A sample of size is drawn from an approximately normal population whose standard deviation is . The sample mean is . Construct a confidence interval for .
(Multiple Choice)
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A recent study of 750 internet users in Europe found that 35% of internet users were women. What is the 95% confidence interval of the true proportion of women in Europe
Who use the internet?
(Multiple Choice)
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In a sample of 855 bartenders, 48.0% report hearing complaints from patrons about their jobs. If the margin of error for the proportion of bartenders hearing job complaints is
Percentage points, what is the degree of confidence used?
(Multiple Choice)
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The formula for the confidence interval of the mean for a specific α is
.
(Essay)
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A report states that 38% of home owners have a vegetable garden. How large a sample is needed to estimate the true proportion of home owners who have vegetable gardens to
Within 6 percentage points with 98% confidence?
(Multiple Choice)
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A state representative wishes to estimate the mean number of women representatives per state legislature. A random sample of 17 states is selected, and the number of women representatives is shown. Based on the sample, what is the point estimate of the mean? Find the confidence interval of the mean population. (Note: The population mean is actually
3 30 31 35 21 30 14 47 23 17 19 30 17 36 19 57 130
(Multiple Choice)
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