Suppose That a Random Sample of 150 Observations Was Drawn

question 79

Essay

Suppose that a random sample of 150 observations was drawn from a population. After calculating the mean and standard deviation, each observation was standardised 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? $$\begin{array} { | c | c | } \hline \text { Intervals } & \text { Frequency } \\\hline Z \leq - 1.5 & 15 \\\hline - 1.5 < Z \leq - 0.5 & 32 \\\hline - 0.5 \leq Z \leq 0.5 & 65 \\\hline 0.5 < Z \leq 1.5 & 25 \\\hline Z > 1.5 & 13 \\\hline\end{array}$$

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Definitions:

Avoid

To keep oneself from doing, receiving, or engaging in something, often as a means of preventing harm or inconvenience.

Stress

A physical or psychological response to demands or pressures.

Hold Fetishes Sacred

The practice of considering certain objects with religious or mystical reverence, especially within cultural or spiritual contexts.

Carve

To cut into a material with the aim of shaping it into something.