A consumer advocacy group is doing a large study on car rental practices. Among other things, the consumer group would to utimate the mileage, . of cars rented in the U.S. over the past year. The consumer group plans to choose a random sample of monthly U.S rental car mi estimate using the mean of the sample. Using the value 750 miles per month as the standard deviation of monthily u.S. rental car mileages from the pest yea what the minimum s in order for the consumer group to be 95% confident that its estimate is within 150 miles per month of Carry your intermediate computations to at least three decimal places. Wte your anewer as whoe mber land me athe m number that satisfies the requirements). (f necessary, consult a lat of formulas)

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A consumer advocacy group is doing a large study on car rental practices. Among other things, the consumer group would like to estimate the mean monthly
mileage, , of cars rented in the U.S. over the past year. The consumer group plans to choose a random sampie of monthly U.S. rental car mileages and then
estimate u using the mean of the sample.
Using the value 750 miles per month as the standard deviation of monthly U.S. rental car mileages from the pest yeac what is he minimum sample size needed
in order for the consumer group to be 95% confident that its estimate is within 150 miles per month of
Carry your Intermediate computations to at least three decimal places. Wrte your anewer as whole number (and meke ure that it the minimum whole
number that satisfies the requirements).
(If necessary, consulta list of formulas)
You would like to construct a 90% confidence interval to estimate the population mean annual income for people over age 40e your state You choose a
random sample of such incomes and compute the mean of the sample as 40,785.5 dollars with a standard deviation of 7538.1 dollars
(a) What is the best point estimate, based on the sample, to use for the population mean
(b) For each of the folowing sampling scenarios, determine which distribution should be used to calculate the criticel value
for the 90% confidence interval for the population mean.
(In the table, Z refers to a standard normal distribution, and I refers to at distribution.)
Could use
Sampling scenario
Unclear
either Zor
The sample has sze 12, and it is froma normally distributed
population with a known standerd devietion of7564.
The sample has sie 17, and it is from a normaly distributed
population with an unknown standard deviation.
The sample has sie 110, and it is from a non-normaly datributed
population
Transcribed Image Text:A consumer advocacy group is doing a large study on car rental practices. Among other things, the consumer group would like to estimate the mean monthly mileage, , of cars rented in the U.S. over the past year. The consumer group plans to choose a random sampie of monthly U.S. rental car mileages and then estimate u using the mean of the sample. Using the value 750 miles per month as the standard deviation of monthly U.S. rental car mileages from the pest yeac what is he minimum sample size needed in order for the consumer group to be 95% confident that its estimate is within 150 miles per month of Carry your Intermediate computations to at least three decimal places. Wrte your anewer as whole number (and meke ure that it the minimum whole number that satisfies the requirements). (If necessary, consulta list of formulas) You would like to construct a 90% confidence interval to estimate the population mean annual income for people over age 40e your state You choose a random sample of such incomes and compute the mean of the sample as 40,785.5 dollars with a standard deviation of 7538.1 dollars (a) What is the best point estimate, based on the sample, to use for the population mean (b) For each of the folowing sampling scenarios, determine which distribution should be used to calculate the criticel value for the 90% confidence interval for the population mean. (In the table, Z refers to a standard normal distribution, and I refers to at distribution.) Could use Sampling scenario Unclear either Zor The sample has sze 12, and it is froma normally distributed population with a known standerd devietion of7564. The sample has sie 17, and it is from a normaly distributed population with an unknown standard deviation. The sample has sie 110, and it is from a non-normaly datributed population
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