Question

Normal Distribution Examine the distribution shown in the histogram from Exercise 5. Does it appear that the sample data are from a population with a normal distribution? Why or why not?

Short answer

No, it does not appear that the sample is taken from a normal population as the histogram plotted for the sample observations does not have a bell shape.

Step-by-step solution

Given information

A histogram is constructed for the frequency of the digits 0–9 in the Florida Play 4 lottery.

Histogram of normal distribution

A frequency distribution is said to follow thenormal probability distributionif the values of the frequencies increase gradually and then start to decrease.

Thehistogramplotted for such a distribution appears to bebell-shaped.

Thus, by observing the shape of the histogram of a sample, it can be deduced if the sample comes from a normal population.

Shape of the given histogram

The given histogram doesnot shape like a bellas it does not decrease gradually from the maximum value at the center.

Therefore, the given sample does not come from a normal population.