Suppose That a Random Sample of 100 Observations Was Drawn

Essay

Suppose that a random sample of 100 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 10% significance level that the data were drawn from a normal population? $$\begin{array} { | c | c | } \hline \text { Intervals } & \text { Frequency } \\\hline Z \leq - 1 & 12 \\\hline - 1 < Z \leq 0 & 32 \\\hline 0 < Z \leq 1 & 36 \\\hline Z > 1 & 20 \\\hline\end{array}$$