The following data are monthly rents (in dollars) of studio and one-bedroom apartments in Harrisburg, Pennsylvania, in 2007, obtained from a random sample of such apartments advertised at rent.com in July 2007:500, 549, 569, 575, 585, 600, 630, 680, 705, 790

The mean of these ten rent prices is $618.3, and the standard deviation is $85.3

a.Determine the standard error of the sample mean.

b.Describe what the population mean means in this context.

c.Determine a 95% confidence interval for .

d.Write a sentence interpreting what this interval means.

e.Would you expect about 95% of the studio and one-bedroom apartments in Harrisburg in July 2007 to have a rent price within this interval? Explain.