Exam 8: Interval Estimation

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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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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 a random sample of 400 residents of Chattanooga, 320 residents indicated that they voted for the Democratic candidate in the last presidential election. Develop a 95% confidence interval estimate for the proportion of all Chattanooga residents who voted for the Democratic candidate.

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The following random sample from a population whose values were normally distributed was collected.10 12 18 16 The 80% confidence interval for μ\mu is

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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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If an interval estimate is said to be constructed at the 90% confidence level, the confidence coefficient would be

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A sample of 225 elements from a population with a standard deviation of 75 is selected. The sample mean is 180. The 95% confidence interval for μ\mu is

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In order to estimate the proportion of individuals who read at least one book per month, a random sample of individuals was selected and they were asked whether or not they read at least one book per month. Their responses are shown below. In order to estimate the proportion of individuals who read at least one book per month, a random sample of individuals was selected and they were asked whether or not they read at least one book per month. Their responses are shown below.   Develop a 95% confidence interval for the proportion of people in the population who read at least one book per month. Develop a 95% confidence interval for the proportion of people in the population who read at least one book per month.

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A local university administers a comprehensive examination to the candidates for B.S. degrees in Business Administration. Five examinations are selected at random and scored. The scores are shown below. A local university administers a comprehensive examination to the candidates for B.S. degrees in Business Administration. Five examinations are selected at random and scored. The scores are shown below.    a.Compute the mean and the standard deviation of the sample. b.Compute the margin of error at 95% confidence. c.Develop a 95% confidence interval estimate for the mean of the population. Assume the population is normally distributed. a.Compute the mean and the standard deviation of the sample. b.Compute the margin of error at 95% confidence. c.Develop a 95% confidence interval estimate for the mean of the population. Assume the population is normally distributed.

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For the interval estimation of μ\mu when σ\sigma is known and the sample is large, the proper distribution to use is

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In developing an interval estimate, if the population standard deviation is unknown

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It is known that the variance of a population equals 1,936. A random sample of 121 has been taken from the population. There is a .95 probability that the sample mean will provide a margin of error of

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Exhibit 8-2 A random sample of 121 automobiles traveling on an interstate showed an average speed of 65 mph. From past information, it is known that the standard deviation of the population is 22 mph. -Refer to Exhibit 8-2. The standard error of the mean is

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In order to use the normal distribution for interval estimation of μ\mu when σ\sigma is known and the sample is very small, the population

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Two hundred students are enrolled in an Economics class. After the first examination, a random sample of 6 papers was selected. The grades were 65, 75, 89, 71, 70 and 80. a.Determine the standard error of the mean. b.What assumption must be made before we can determine an interval for the mean grade of all the students in the class? Explain why. c.Assume the assumption of Part b is met. Provide a 95% confidence interval for the mean grade of all the students in the class.

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A local electronics firm wants to determine their average daily sales (in dollars.) A sample of the sales for 36 days revealed average sales of $139,000. Assume that the standard deviation of the population is known to be $12,000. a.Provide a 95% confidence interval estimate for the average daily sales. b.Provide a 97% confidence interval estimate for the average daily sales.

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As the sample size increases, the margin of error

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Exhibit 8-2 A random sample of 121 automobiles traveling on an interstate showed an average speed of 65 mph. From past information, it is known that the standard deviation of the population is 22 mph. -Refer to Exhibit 8-2. If the confidence coefficient is reduced to 0.9, the standard error of the mean

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Exhibit 8-6 A sample of 75 information system managers had an average hourly income of $40.75 with a standard deviation of $7.00. -Refer to Exhibit 8-6. The value of the margin of error at 95% confidence is

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A random sample of 49 statistics examinations was taken. The average score, in the sample, was 84 with a variance of 12.25. The 95% confidence interval for the average examination score of the population of the examinations is

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