Salaries for teachers in a particular state have a mean of $42,000 and a standard deviation of $6,600. a. If we randomly select 19 teachers from that district, can you determine the sampling distribution of the sample mean? If yes, what is the name of the distribution, what is the mean, and the standard error? b. If we randomly select 65 teachers from that district, can you determine the sampling distribution of the sample mean? If yes, what is the name of the distribution, what is the mean, and the standard error? c. What sample size (65 or 19) would be needed to know the population distribution of teacher salaries is normal in order to answer?
Hello, I am struggling with a few questions on my homework. If you could answer the questions and explain how/why you got that answer I would greatly appreciate it. Thank you!
Question 1: Salaries for teachers in a particular state have a
a. If we randomly select 19 teachers from that district, can you determine the sampling distribution of the sample mean? If yes, what is the name of the distribution, what is the mean, and the standard error?
b. If we randomly select 65 teachers from that district, can you determine the sampling distribution of the sample mean? If yes, what is the name of the distribution, what is the mean, and the standard error?
c. What
d. Assuming a sample size of 65, what is the probability that the sampling error is within $1,000 of the true mean?
e. Assuming a sample size of 65, what is the 90th percentile for the AVERAGE teacher’s salary?
f. Assuming that teacher’s salaries are normally distributed, what is the 90th percentile for an INDIVIDUAL teacher’s salary?
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