Consider a Set of 50 Measurements with Mean 50 It Is Desired to Test Whether These Measurements Came from Standard

question 27

Essay

Consider a set of 50 measurements with mean 50.2 and standard deviation 18.7 and with the following observed frequencies. $$\begin{array} { l c } \text { Interval } & \text { Observed Frequencies } \\39.99 \text { and less } & 12 \\40 - 59.99 & 18 \\60 - 79.99 & 15 \\80 \text {-and higher } & 5\end{array}$$ It is desired to test whether these measurements came from a normal population.
-Calculate the expected frequency for the interval 0-39.99.

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Definitions:

Standard Deviation

A statistical measure of the dispersion or spread of data points in a data set, indicating how much the individual data points differ from the mean.

Population Mean

The average of a set of characteristics or numbers in the entire population.

Standard Error

A statistical measure that describes the accuracy with which a sample distribution represents a population using standard deviation.

Economics Class

A course of study that examines the production, distribution, and consumption of goods and services, focusing on economic theories and principles.