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Suppose That a Random Sample of 150 Observations Was Drawn

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Suppose that a random sample of 150 observations was drawn from a population.After calculating the mean and standard deviation,each observation was standardized and the number of observations in each of the intervals below was counted.Can we infer at the 5% significance level that the data were drawn from a normal population?
 Intervals  Frequency Z1.5151.5<Z.532.5Z.565.5<Z1.525Z>1.513\begin{array} { | l | c |} \hline \text { Intervals } & \text { Frequency } \\\hline Z \leq - 1.5 & 15 \\- 1.5 < Z \leq - .5 & 32 \\- .5 \leq Z \leq .5 & 65 \\.5 < Z \leq 1.5 & 25 \\Z > 1.5 & 13 \\\hline\end{array}


Definitions:

The South

Commonly refers to the southern part of the United States, historically known for its agrarian economy and was the center of the American slave trade.

Economic Growth

An increase in the production of goods and services in an economy over a period of time, evidenced by an increase in the country's gross domestic product (GDP).

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