Exam 10: Estimation: Describing a Single Population
Exam 1: What Is Statistics17 Questions
Exam 2: Types of Data, Data Collection and Sampling18 Questions
Exam 3: Graphical Descriptive Techniques Nominal Data17 Questions
Exam 4: Graphical Descriptive Techniques Numerical Data65 Questions
Exam 5: Numerical Descriptive Measures149 Questions
Exam 6: Probability113 Questions
Exam 7: Random Variables and Discrete Probability Distributions50 Questions
Exam 8: Continuous Probability Distributions113 Questions
Exam 9: Statistical Inference and Sampling Distributions69 Questions
Exam 10: Estimation: Describing a Single Population125 Questions
Exam 11: Estimation: Comparing Two Populations36 Questions
Exam 12: Hypothesis Testing: Describing a Single Population124 Questions
Exam 13: Hypothesis Testing: Comparing Two Populations69 Questions
Exam 14: Additional Tests for Nominal Data: Chi-Squared Tests113 Questions
Exam 15: Simple Linear Regression and Correlation213 Questions
Exam 16: Multiple Regression122 Questions
Exam 17: Time-Series Analysis and Forecasting147 Questions
Exam 18: Index Numbers27 Questions
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You need four values to construct the confidence interval estimate of ? . These are the sample mean, sample size, population standard deviation and confidence level.
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Suppose that your task is to estimate the mean of a normally distributed population to within 10 units with 95% confidence and that the population standard deviation is known to be 70.
What sample size should you use with a 90% confidence level?
(Short Answer)
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The sample mean is an unbiased estimator of the population mean µ, and (when sampling from a normal population) the sample median is also an unbiased estimator of µ. However, the sample mean is relatively more efficient than the sample median.
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The population proportion of voters in favour of a particular political candidate is being estimated with a confidence interval. A random sample of 55 voters is taken, and 28 are found to be in favour. Find and interpret a 90% confidence interval for the population proportion of people in favour of this political candidate.
(Essay)
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Which of the following best describes an interval estimator?
(Multiple Choice)
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Suppose that the amount of time teenagers spend on the Internet is normally distributed, with a standard deviation of 1.5 hours. A sample of 100 teenagers is selected at random, and the sample mean is computed as 6.5 hours.
Determine the 95% confidence interval estimate of the population mean. Interpret
(Essay)
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What is the margin of error for a 99% confidence interval for the population proportion of people that own more than one mobile phone, if a random sample of 50 people was taken, and 10 of these had more than one mobile phone?
(Short Answer)
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The standard error of the sampling distribution of the sample proportion , when the sample size n = 100 and the population proportion p = 0.30, is 0.0021.
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Determine the minimum sample size required for estimating the population proportion of number of people who drive to work, to within 0.003, with 80% confidence.
(Essay)
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The sample proportion is a consistent estimator of the population proportion p because it is unbiased and the variance of is p(1 - p)/n, which grows smaller as n grows larger.
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Suppose that your task is to estimate the mean of a normally distributed population to within 10 units with 95% confidence and that the population standard deviation is known to be 70.
What sample size should be used if you wish to estimate the population mean to within 5 units?
(Short Answer)
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The upper limit of a confidence interval at the 99% level of confidence for the population proportion if a sample of size 100 had 40 successes is:
(Multiple Choice)
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Suppose that the amount of time teenagers spend on the Internet is normally distributed, with a standard deviation of 1.5 hours. A sample of 100 teenagers is selected at random, and the sample mean is computed as 6.5 hours.
Determine the 90% confidence interval estimate of the population mean.
(Short Answer)
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Suppose that your task is to estimate the mean of a normally distributed population to within 10 units with 95% confidence and that the population standard deviation is known to be 70.
What sample size should you use, changing the standard deviation to 50?
(Short Answer)
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The lower and upper limits of the 68.26% confidence interval for the population mean µ, given that n = 64, = 110 and ? = 8, are 109 and 111, respectively.
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From a sample of 300 items, 15 are defective. The point estimate of the population proportion defective will be:
(Multiple Choice)
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In developing an interval estimate at 87.4% for a population mean, the value of z to use is:
(Multiple Choice)
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A random sample of size n has been selected from a normally distributed population whose standard deviation is s. In estimating an interval for the population mean, the t-distribution should be used instead of the z-test if:
(Multiple Choice)
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