# Question

Suppose that a random sample of 100 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 following intervals was counted. Can we infer at the 5% significance level that the data were not drawn from a normal population?

Interval Frequency

Z ≤ 1.5 ........... 10

−1.5 < Z ≤ −0.5 ....... 18

−0.5 < Z ≤ 0.5 ......... 48

0.5 < Z ≤ 1.5 ........ 16

Z > 1.5 .......... 8

Interval Frequency

Z ≤ 1.5 ........... 10

−1.5 < Z ≤ −0.5 ....... 18

−0.5 < Z ≤ 0.5 ......... 48

0.5 < Z ≤ 1.5 ........ 16

Z > 1.5 .......... 8

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