# Question

A study investigating the relationship between age and annual medical expenses randomly samples 100 individuals in Davis, California. It is hoped that the sample will have a similar mean age as the entire population.

a. If the standard deviation of the ages of all individuals in Davis is σ = 15, find the probability that the mean age of the individuals sampled is within two years of the mean age for all individuals in Davis. (Find the sampling distribution of the sample mean age and use the central limit theorem. You don’t have to know the population mean to answer this, but if it makes it easier, use a value such as μ = 30.)

b. Would the probability be larger, or smaller, if σ = 10? Why?

a. If the standard deviation of the ages of all individuals in Davis is σ = 15, find the probability that the mean age of the individuals sampled is within two years of the mean age for all individuals in Davis. (Find the sampling distribution of the sample mean age and use the central limit theorem. You don’t have to know the population mean to answer this, but if it makes it easier, use a value such as μ = 30.)

b. Would the probability be larger, or smaller, if σ = 10? Why?

## Answer to relevant Questions

Vincenzo Baranello was diagnosed with high blood pressure. He was able to keep his blood pressure in control for several months by taking blood pressure medicine (amlodipine besylate). Baranello’s blood pressure is ...Consider the sampling distribution you were simulating in parts a and b of the previous exercise, assuming p = 0.10 with samples of size 4000 each. Using the appropriate formulas from this section, find the mean and the ...In Example 5 about Aunt Erma’s Restaurant, the daily sales follow a probability distribution that has a mean of μ = +900 and a standard deviation of σ = +300. This past week the daily sales for the seven days had a mean ...How would you explain to someone who has never studied statistics what a sampling distribution is? Explain by using the example of polls of 1000 Canadians for estimating the proportion who think the prime minister is doing a ...Refer to the previous exercise. a. In part b, if the sampling distribution of the sample proportion had mean 0.409 and the standard deviation 0.008, give an interval of values within which the sample proportion will almost ...Post your question

0