Title: Interval Estimation Flashcards | Quizlet
Headings: Interval Estimation
Interval Estimation
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Terms in this set (25)
THIS SET IS OFTEN IN FOLDERS WITH...
Business Statistics Final
Comparing Distributions
sampling and sampling distribution
Estimation & Confidence Intervals - Statistics

Content: A 95% confidence interval estimate for the mean systolic blood pressure for all employees of the company is 123 139. Which if the following statement is valid? If the sampling procedure were repeated many times, 95% of the resulting confidence intervals would contain the population mean systolic blood pressure
The value added to and subtracted from a point estimate in order to develop an interval estimate of the population parameter is known as the
planning value
The margin of error in an interval estimate of the population mean is a function of: -a
-sample mean
-sample size
-->>> not for "variability of the population"
For a given confidence level and when sigma is known, the margin of error in a confidence interval estimate
is the same for all samples of the same size
In interval estimation, as the sample size becomes larger, the interval estimate
becomes narrower
A 95% confidence interval for a population mean is determines to be 100 to 120. For the same data, if the confidence coefficient is reduced to .90, the confidence interval
for M becomes narrower
An estimate of a population parameter that provides an interval of values believed to contain the value of the parameter is known as the
interval estimate
When s is used to estimate o', the margin of error is computed by using the
t distribution
A sample of 200 elements from a population with a known standard deviation is selected. For an interval estimation of M, the proper distribution to use is the
normal distribution
From a population the is normally distributed, a sample of 25 elements is selected and the standard deviation of the sample is computed. For the interval estimation of M, the proper distribution to use is the
t distribution with 24 degrees of freedom
In interval estimation, the t distribution is applicable only when
the sample standard deviation is used to estimate the population standard deviation
As the number of degrees of freedom for a t distribution increases, the difference between the t distribution and the standard normal distribution
becomes smaller
the mean of the t distribution is
0
The t distribution is a family of similar probability distributions, with each individual distribution depending on a parameter known as the
degrees of freedom
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
same as a
A point estimate
cannot be expected to provide the exact value of the population parameter
An interval estimate is calculated by
(Point Estimate - Margin of Error) ; ( Point Estimate + Margin of Error)
The purpose of an interval estimate is to
provide information about how close the point estimate is to the value of the population parameter
The sampling distribution of the mean (x barred)
can be used to compute the probability that mean (x barred) will be a given distance from M
t distribution
depends on a parameter known as degrees of freedom
Degrees of Freedom (df) refers to
the number of independent pieces of information that go into the computation of ∑ (xi - ×)² , which is part of the sample variance s
A t distribution with more degrees of freedom has
less dispersion
as the number of degrees of freedom increases,
the difference of the t distribution and the standard normal distribution becomes smaller and smaller
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