statistics ch 8 interval estimation

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from a population that is normally distributed a sample of 25 elements is selected and their standard deviation of the sample is computed. for the interval estimation of you, the proper distribution to use is the

t distribution with 24 degrees of freedom

the ability of an interval estimate to contain the population parameter is described by

the confidence level

for the interval estimation of the population mean, when the population standard deviation is known and the sample is sufficiently large, the proper distribution to use is

the normal distribution

determining sample size

(confidence level x standard deviation/ margin of error)^2

determine margin of error

(confidence level)*(Standard Deviation/square root of sample size)=Margin of error

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

margin of error

in order to use the normal distribution for interval estimation of the population mean you, when the population standard deviation is known and the sample is small the population must have

normal distribution

the most typical form of the confidence interval for a population parameter is

point estimate - margin of errors, point estimate + margin of error

whenever the population standard deviation is unknown and the population has a normal or near normal distribution, which of the following distributions is used in developing an interval estimate for the population mean?

t distribution

as the number of degrees of freedom of the t distribution increases, the difference between the t distribution and the standard normal distribution

becomes smaller

for a given sample size and population or sample standard deviation, which of the following is true in the interval estimation of the population mean?

if the confidence level is greater the confidence interval is wider

for a given confidence level and population or sample standard deviation, which of the following is true in the interval estimation of the population mean?

if the sample size is greater, the confidence interval is narrower

after finding a confidence interval for the population mean, the user believes the result is meaningless because the interval is too wide. which of the following is the best recommendation

increase the sample size

an estimate of a population parameter that provides an interval of values believed to contain this parameter is known as the

interval estimate


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