Asked by Maryisabel Salinas on May 08, 2024

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A sample of 200 elements from a population with a known standard deviation is selected.For an interval estimation of μ, the proper distribution to use is the

A) normal distribution.
B) t distribution with 200 degrees of freedom.
C) t distribution with 201 degrees of freedom.
D) t distribution with 199 degrees of freedom.

Normal Distribution

A bell-shaped curve that represents the distribution of many types of data, where most observations cluster around the central peak.

Degrees of Freedom

The number of independent values or quantities which can be assigned to a statistical distribution or to a system.

Interval Estimation

A range of values used to estimate a population parameter, typically expressed as a confidence interval.

  • Identify the correct z or t value to use in confidence interval estimations, taking into account the sample size and existing data.
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TH
Terri HensonMay 11, 2024
Final Answer :
A
Explanation :
The population standard deviation is known and the sample size is large (n=200), therefore the appropriate distribution to use for interval estimation of the population mean is the normal distribution.