Exam 8: Interval Estimation

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The manager of a grocery store has taken a random sample of 144 customers.The average length of time it took these 144 customers to check out was 3 minutes.It is known that the standard deviation of the population of checkout times is 1 minute.The 95% confidence interval for the true average checkout time (in minutes) is

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We can use the normal distribution to make confidence interval estimates for the population proportion, p, when​

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

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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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For a given confidence level and when σ is known, the margin of error in a confidence interval estimate

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In order to estimate the average electric usage per month, a sample of 64 houses was selected and the electric usage was determined.Assume a population standard deviation of 320 kilowatt-hours.The standard error of the mean is

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You are given the following information obtained from a random sample of 6 observations.Assume the population has a normal distribution. You are given the following information obtained from a random sample of 6 observations.Assume the population has a normal distribution.   ​  a. What is the point estimate of μ? b. Construct an 80% confidence interval for μ. c. Construct a 98% confidence interval for μ. d. Discuss why the 80% and 98% confidence intervals are different. ​ a. What is the point estimate of μ? b. Construct an 80% confidence interval for μ. c. Construct a 98% confidence interval for μ. d. Discuss why the 80% and 98% confidence intervals are different.

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The makers of a soft drink want to identify the average age of its consumers.A sample of 55 consumers was taken.The average age in the sample was 21 years with a standard deviation of 4 years. a. Construct a 95% confidence interval for the true average age of the consumers. b. Construct an 80% confidence interval for the true average age of the consumers. c. Discuss why the 95% and 80% confidence intervals are different.

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A random sample of 100,000 credit sales in a department store showed an average sale of $87.25.From past data, it is known that the standard deviation of the population is $20.00.What is the 95% confidence interval of the population mean?

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Potential sampling error _____as the sample size increases.

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A simple random sample of 144 items resulted in a sample mean of 1257.85 and a standard deviation of 480.Develop a 95% confidence interval for the population mean.

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From a population that is not normally distributed and whose standard deviation is not known, a sample of 6 items is selected to develop an interval estimate for the mean of the population (μ).

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A random sample of 64 SAT scores of students applying for merit scholarships showed an average of 1400 with a standard deviation of 240.The margin of error at 95% confidence is

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In interval estimation, as the sample size becomes larger, the interval estimate

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A random sample of 100,000 credit sales in a department store showed an average sale of $87.25.From past data, it is known that the standard deviation of the population is $20.00.With a .95 probability, determine the margin of error.

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The technical support department at Apple, Inc.sampled 100,000 calls and reported that the mean of time a customer is placed on hold is 4.5 minutes.Assume a standard deviation of 1.75 minutes.Provide a 95% confidence interval estimate for the true average time a customer was placed on hold.

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In order to determine the average weight of carry-on luggage by passengers in airplanes, a sample of 16 pieces of carry-on luggage was weighed.The average weight was 20 pounds.Assume that we know the standard deviation of the population to be 8 pounds.Also, assume the population is normally distributed. a. Determine a 97% confidence interval estimate for the population mean weight of the carry-on luggage. b. Determine a 95% confidence interval estimate for the population mean weight of the carry-on luggage.

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The dean of a college wants to determine the proportion of students who do not use the campus library.What sample size should he take so that, at 97% confidence, the margin of error will not be more than .1?

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The probability that the interval estimation procedure will generate an interval that does not contain the actual value of the population parameter being estimated is the​

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The mean of the t distribution is​

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