Exam 8: Interval Estimation

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Whenever the population standard deviation is unknown and the population has a normal or near-normal distribution, which distribution is used in developing an interval estimation?

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If we change a 95% confidence interval estimate to a 99% confidence interval estimate, we can expect

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A random sample of 53 observations was taken. The average in the sample was 90 with a variance of 400. a. Construct a 98% confidence interval for μ. b. Construct a 99% confidence interval for μ. c. Discuss why the 98% and 99% confidence intervals are different. d. What would you expect to happen to the confidence interval in Part a if the sample size was increased? Be sure to explain your answer.

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When constructing a confidence interval for the population mean and the standard deviation of the sample is used, the degrees of freedom for the t distribution equals

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It is known that the variance of a population equals 1296. A random sample of 144 observations is going to be taken from the population. a. With a 0.95 probability, what statement can be made about the size of the margin of error? b. With a 0.95 probability, how large of a sample would have to be taken to provide a margin of error of 6 or less?

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Information regarding the price of a roll of camera film 35 mm, 24 exposure) for a sample of 12 cities worldwide is shown below. Determine a 95% confidence interval for the population mean. Price of Film Information Mean 5.3667 Standard Error 0.7409 Median 4.8700 Standard Deviation 2.5666 Sample Variance 6.5873 Kurtosis 4.0201 Skewness 1.8041 Range 9.4100 Minimum 2.7300 Maximum 12.1400 Sum 64.4000 Count 12.0000

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In determining the sample size necessary to estimate a population proportion, which of the following information is not needed?

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In order to estimate the average time spent on the computer terminals per student, data were collected for a sample of 49 business students over a one week period. Assume the population standard deviation is 1.4 hours. The standard error of the mean is

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The sample size needed to provide a margin of error of 2 or less with a .95 probability when the population standard deviation equals 11 is

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A random sample of 81 children with working mothers showed that they were absent from school an average of 6 days per term with a standard deviation of 1.8 days. Provide a 95% confidence interval for the average number of days absent per term for all the children.

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You are given the following information obtained from a random sample of 5 observations taken from a large population. 32 34 32 30 32 Construct a 95% confidence interval for the mean of the population, assuming the population has a normal distribution.

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In interval estimation, the t distribution is applicable only when

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The value added and subtracted from a point estimate in order to develop an interval estimate of the population parameter is known as the

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The Highway Safety Department wants to study the driving habits of individuals. A sample of 81 cars traveling on the highway revealed an average speed of 67 miles per hour with a standard deviation of 9 miles per hour. a. Compute the standard error of the mean. b. Determine a 99% confidence interval estimate for the speed of all cars.

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A sample of 20 items from a population with an unknown σ is selected in order to develop an interval estimate of μ. Which of the following is not necessary?

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From a population with a variance of 900, a sample of 225 items is selected. At 95% confidence, the margin of error is

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An interval estimate is a range of values used to estimate

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An Excel printout of the descriptive measures of daily checking account balances in dollars) of customers of First Daisy Bank is shown below. Develop a 95% confidence interval estimate for the mean of the population of the checking balances. Account Balance Information Mean 4828.29 Median 5115.25 Mode 4976.50 Standard Deviation 1143.57 Sample Variance 1307763.49 Kuitosis 8.63 Skewness -3.06 Range 4968.50 Minimum 600.00 Maximum 5568.50 Sum 173818.50 Count 36.00

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A sample of 200 elements from a population with a known standard deviation is selected. For an interval estimation of μ, the proper distribution to use is the

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Which of the following best describes the form of the sampling distribution of the sample proportion?

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