Last Digit Analysis The dotplot below depicts the last digits of the weights of 153 males inData Set 1 “Body Data.” Do those digits appear to be from a normally distributed population? If not, does the large sample size ofn= 153 justify treating the values as if they were from a normal distribution? Can the sample be used to construct a 95% confidence interval estimate of for the population of all such digits?

A dot plot representing the last digits of weights of 153 males is provided. A 95% confidence interval estimate of $\sigma$ is to be constructed.

The given dotplot represents the last digits of weights of a sample of 153 males.

If the dotplot appears to be bell-shaped, the distribution of the population from which the sample is taken is said to be normal.

Here, the dotplot is far from being bell-shaped.

Thus, the population of the last digits of weights from which the sample is extracted is not normally distributed.

The requirement of the population to be strictly normally distributed, even if the sample size is large, is extremely stringent in order to obtain the confidence interval estimate of$\sigma$.

Although the sample of the last digits is of a large size (153), the population of the last digits is not normally distributed.

Therefore, the 95% confidence of $\sigma$ cannot be estimated for the given population of the last digits.