Suppose That a Random Sample of 60 Observations Was Drawn

Essay

Suppose that a random sample of 60 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 10% significance level that the data were drawn from a normal population?
$$\begin{array} { | l | c | } \hline \text { Intervals } & \text { Frequency } \\\hline Z \leq - 1 & \mathbf { 8 } \\- 1 < Z \leq 0 & 30 \\0 < Z \leq 1 & 17 \\Z > 1 & 5 \\\hline\end{array}$$