Exam 8: Estimation and Confidence Intervals

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A manager of a local store wants to estimate the mean amount spent per shopping visit by customers. Summary statistics from a sample taken reveal the following: A manager of a local store wants to estimate the mean amount spent per shopping visit by customers. Summary statistics from a sample taken reveal the following:   Determine a 95% confidence interval for the mean amount spent. Determine a 95% confidence interval for the mean amount spent.

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Suppose 1,600 of 2,000 registered voters sampled said they planned to vote for a particular candidate. Using the 0.95 degree of confidence, what is the interval estimate for the population proportion (to the nearest tenth of a percent)?

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A survey of 25 grocery stores revealed that the average price of a 4-litre bag of milk was $2.98 with a standard error of $0.10. What is the 98% confidence interval to estimate the true cost of a 4-litre bag of milk?

(Multiple Choice)
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College X is concerned about their employees making use of their email for non-business purposes. You have been approached to assist in this matter. College X decides on a 99% confidence level and state that the estimation proportion must be within 2 percent of the population proportion. A pilot survey reveals that 10 out of 50 emails sampled were not for business purposes. How many emails should be surveyed to meet your requirements?

(Multiple Choice)
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A manager of a local store wants to estimate the mean amount spent per shopping visit by customers. Summary statistics from a sample taken reveal the following: A manager of a local store wants to estimate the mean amount spent per shopping visit by customers. Summary statistics from a sample taken reveal the following:   If 95% and 98% confidence intervals were developed to estimate the true shopping expenditure, what differences would exist? If 95% and 98% confidence intervals were developed to estimate the true shopping expenditure, what differences would exist?

(Multiple Choice)
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College X is concerned about their employees making use of their email for non-business purposes. A random sample of 400 e-mails discovered 60 messages that were not business related. The 95% Confidence interval for the population proportion is:

(Multiple Choice)
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A survey of 144 retail stores revealed that the average price of a DVD was $375 with a standard error of $20. What is the 99% confidence interval to estimate the true cost of the DVD?

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The ______estimate states the range within which a population parameter probably lies.

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College X is concerned about their employees making use of their email for non-business purposes. A random sample of 400 e-mails discovered 80 messages that were not business related. The 99% Confidence interval for the population proportion is:

(Multiple Choice)
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A student wanted to quickly construct a 95% confidence interval for the average age of students in her statistics class. She randomly selected 9 students. Their average age was 19.1 years with a standard deviation of 1.5 years. What is the 95% confidence interval for the population mean?

(Multiple Choice)
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What kind of distribution is the t distribution?

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The distribution of Student's t is

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The following summarizes the amount of snowfall in Ontario over the past number of years. The following summarizes the amount of snowfall in Ontario over the past number of years.   Determine a 98% confidence interval for the average annual snowfall. Determine a 98% confidence interval for the average annual snowfall.

(Multiple Choice)
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A student wanted to quickly construct a 95% confidence interval for the average age of students in her statistics class. She randomly selected 9 students. Their average age was 19.1 years with a standard deviation of 1.5 years. What is the best point estimate for the population mean?

(Multiple Choice)
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A pharmaceutical company wanted to estimate the population mean of monthly sales for their 250 sales people. Forty sales people were randomly selected. Their mean monthly sales were $10,000 with a standard deviation of $1,000. Construct a 95% confidence interval for the population mean.

(Multiple Choice)
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The following summarizes the amount of snowfall in Ontario over the past number of years. The following summarizes the amount of snowfall in Ontario over the past number of years.   Determine a 95% confidence interval for the average annual snowfall. Determine a 95% confidence interval for the average annual snowfall.

(Multiple Choice)
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Which of the following would be used as a point estimate for the population mean (µ)?

(Multiple Choice)
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The following summarizes the amount of snowfall in Ontario over the past number of years. The following summarizes the amount of snowfall in Ontario over the past number of years.   If 95% and 98% confidence intervals were developed to estimate the true average annual snowfall, what differences would exist? If 95% and 98% confidence intervals were developed to estimate the true average annual snowfall, what differences would exist?

(Multiple Choice)
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A student wanted to quickly construct a 95% confidence interval for the average age of students in her statistics class. She randomly selected 9 students. Their average age was 19.1 years with a standard deviation of 1.5 years. What is the 99% confidence interval for the population mean?

(Multiple Choice)
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How does the t distribution differ from the standard z distribution?

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