# Question: The 2006 AAPA survey of the population of physicians assistants

The 2006 AAPA survey of the population of physicians’ assistants who were working full time reported a mean annual income of $84,396 and standard deviation of $21,975. (Source: Data from 2006 AAPA survey [www.aapa.org].)

a. Suppose the AAPA had randomly sampled 100 physicians’ assistants instead of collecting data for all of them. Describe the mean, standard deviation, and shape of the sampling distribution of the sample mean.

b. Using this sampling distribution, find the z -score for a sample mean of $80,000.

c. Using parts a and b, find the probability that the sample mean would fall within approximately $4000 of the population mean.

a. Suppose the AAPA had randomly sampled 100 physicians’ assistants instead of collecting data for all of them. Describe the mean, standard deviation, and shape of the sampling distribution of the sample mean.

b. Using this sampling distribution, find the z -score for a sample mean of $80,000.

c. Using parts a and b, find the probability that the sample mean would fall within approximately $4000 of the population mean.

## Answer to relevant Questions

For the population of individuals who own an iPhone, suppose p = 0.25 is the proportion that has a given app. For a particular iPhone owner, let x = 1 if they have the app and x = 0 otherwise. For a random sample of 50 ...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 ...The table provides the ages of all 50 heads of households in a small Nova Scotian fishing village. The distribution of these ages is characterized by μ = 47.18 and σ = 14.74. a. Each student or the class should construct a ...For the number of hours of TV watching, the 2008 GSS reported a mean of 2.98 for the 1324 white subjects, with a standard deviation of 2.66. The mean was 4.38 for the 188 black subjects, with a standard deviation of 3.58. ...For many years, the General Social Survey has asked respondents whether they favor the death penalty for persons convicted of murder. Support has been quite high in the United States, one of few Western nations that ...Post your question