# Question: 311 a random sample of 10 different unfurnished 1bedroom apartments...

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3.11. A random sample of 10 different unfurnished 1-bedroom apartments off-campus yield an average monthly rent of $500 with standard deviation $100. A second sample of 10 2-bedroom apartments yield an average rent of $650 with standard deviation $100.

a. Suppose that WMU students get a $20 discount on the monthly rent for all 1-bedroom apartments. The discounted monthly rent for the sample of 1-bedroom apartments should yield an average of with standard deviation .

b. Instead of a $20 discount, suppose that WMU students get a 5% discount on the monthly rent for all 1-bedroom apartments. The discounted monthly rent for the sample of 1-bedroom apartments should yield an average of with standard deviation .

c. If you took the 1-bedroom and 2-bedroom samples together, would you guess that the standard deviation of the combined sample is around $100, smaller than $100, or larger than $100? (Show work)