How do rented housing units differ from units occupied by their owners? The tabl

Question

How do rented housing units differ from units occupied by their owners? The table below gives the distributions of the number of rooms for owner-occupied units and renter-occupied units in a certain city. Find the mean number of rooms for owner-occupied housing. (Round your answer to three decimal places.) rooms Find the mean number of rooms for renter-occupied housing. (Round your answer to three decimal places.) rooms Renter-occupied housing typically has fewer rooms, and its distribution is more skewed than the owner-occupied housing distribution. How do the means reflect the differences between the distributions? The means agree with the observation that renter-owned housing typically has fewer rooms. The means disagree with the observation that renter-owned housing typically has fewer rooms.

Explanation / Answer

FOR OWNED, CONSIDER:

FOR RENTED, CONSIDER:

Hence, FOR OWNED:

MEAN = 6.284 [ANSWER]

FOR RENTED:

MEAN = 4.185 [ANSWER]

As we can see, the mean for rented is less than for owned, so

OPTION A: The means agree. [ANSWER]

x P(x) x P(x) 1 0.003 0.003 2 0.002 0.004 3 0.023 0.069 4 0.104 0.416 5 0.21 1.05 6 0.224 1.344 7 0.197 1.379 8 0.149 1.192 9 0.053 0.477 10 0.035 0.35

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