Which of the following measurements, when collected from a large sample, is most likely to follow a normal distribution?

In a city, the monthly utility bills are normally distributed with a mean of $\mathrm{\backslash (}150$ and a standard deviation of $\mathrm{\backslash )}20$. Find the area of the shaded region.

Assume that the heights of a group of students are normally distributed. Find the critical value $z_{0.85}$. Round the result to two decimal places.

In a bone mineral density test, the test scores are normally distributed with a mean of $0$ and a standard deviation of $1$. Find the probability that a randomly selected subject has a bone density test score greater than $-1.37$.

A researcher records the weights (in units of grams) of $16$ apples from an orchard: $120$, $122$, $125$, $127$, $129$, $130$, $132$, $133$, $135$, $137$, $139$, $140$, $142$, $144$, $146$, and $148$. The orchard claims that the weights are normally distributed with a mean of $135$ grams and a standard deviation of $8$ grams. Draw a frequency histogram to display these data points using $5$ classes. Does the data appear to be normally distributed?

Could this graph represent a variable with a normal distribution? If so, estimate the mean and standard deviation. If not, explain your reasoning.

Suppose the random variable $z$ is normally distributed with a mean $\mu =15.7$ and a standard deviation $\sigma =5.2$. Find .