Calculate a confidence interval for the population mean


Problem

According to a survey performed by a real estate institute at USC, the sample mean rent in 2003 was $1,300 for Los Angeles County and $1,260 in Orange County. Assume the survey sampled 250 rents in each county. Also assume the standard deviation in rents was $350 in Los Angeles County and $450 in Orange County.

a. Calculate a 95% confidence interval for the population mean rent for Los Angeles. Interpret.

b. Calculate a 95% confidence interval for the population mean rent for Orange County. Interpret.

c. Interpret the 95% confidence level.

d. Is there a good chance that the population mean rent in Orange County is higher than that in Los Angeles County? Explain.

The response should include a reference list. Double-space, using Times New Roman 12 pnt font, one-inch margins, and APA style of writing and citations.

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Basic Statistics: Calculate a confidence interval for the population mean
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