Samples of size n = 1500 are randomly selected from the population of dogs who grow taller than 2 feet, and the mean of heights is found for each sample. what is the distribution of the sample mean?

The distribution of the sample mean will be normal.

Step-by-step explanation:

We know that the central limit theorem says that if the sample size is large enough, then the sampling distribution of the mean of any independent random variable will be normal or nearly normal.

The given sample size n=1500 is large and they are randomly selected from the population of dogs who grow taller than 2 feet.

So by central limit theorem, the distribution of the sample mean will be normal.

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).