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

Question

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? $$\begin{array} { | c | c | } 
\hline \text { Intervals } & \text { Frequency } \
\hline Z \leq - 1.5 & 15 \
\hline - 1.5 < Z \leq - 0.5 & 32 \
\hline - 0.5 \leq Z \leq 0.5 & 65 \
\hline 0.5 < Z \leq 1.5 & 25 \
\hline Z > 1.5 & 13 \
\hline
\end{array}$$

Quizplus · Accepted Answer

The Answer of 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? $$\begin{array} { | c | c | } 
\hline \text { Intervals } & \text { Frequency } \
\hline Z \leq - 1.5 & 15 \
\hline - 1.5 < Z \leq - 0.5 & 32 \
\hline - 0.5 \leq Z \leq 0.5 & 65 \
\hline 0.5 < Z \leq 1.5 & 25 \
\hline Z > 1.5 & 13 \
\hline
\end{array}$$

Suppose That a Random Sample of 150 Observations Was Drawn