A Random Sample of Size 36 Is Taken from a Population

question 59

Multiple Choice

A random sample of size 36 is taken from a population with mean 50 and standard deviation 5.Find $\mathrm { P } ( \bar { X } > 49 )$

• A).8331
• B).1151
• C).8849
• D).1389

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Definitions:

Variance

A measure of how much values in a data set differ from the mean, indicating the distribution's spread.

Normal Distribution

The distribution is symmetric relative to the mean, with a notable prevalence of data points in close proximity to the mean compared to those farther away.

Sample Proportion

The fraction of the sample that exhibits a certain trait or characteristic.

Standard Deviation

A measure of the amount of variation or dispersion of a set of values, indicating how much the values in the data set deviate from the mean.