Which of the Following Is NOT True About the Student's

question 109

Multiple Choice

Which of the following is NOT true about the Student's t distribution?

• A) It is bell shaped and symmetrical.
• B) It has more area in the tails and less in the centre than does the normal distribution.
• C) It is used to construct confidence intervals for the population mean when the population standard deviation is known.
• D) As the number of degrees of freedom increases, the t distribution approaches the normal distribution.

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Definitions:

Standard Deviations

Measures of dispersion that indicate how spread out the values in a data set are around the mean.

Normal Distribution

A symmetric bell-shaped distribution that is widely used in statistics to represent the real-valued random variables with unknown distributions.

Standardized Form

A form of representation that allows different data sets or equations to be compared or analyzed using a common standard.

Normal Distribution

A bell-shaped distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.