21
QuizMultiple Choice

Unit Test — Unit test

Question 21 • Stats B - Master – 926988

Two local hotels, X and Y, rent out rooms nightly. Let X represent the number of rooms hotel X rents out nightly, and let Y represent the number of rooms hotel Y rents out nightly. The mean of X is 49, and the mean of Y is 58. Which answer choice correctly calculates and interprets the mean of the sum, S = X + Y?

Answer
A
= 53.5; the hotels can expect to rent out 53.5 rooms, on average, each night.
Option A
B
= 53.5; on one randomly selected night, the total number of rooms rented out will be 53.5.
Option B
C
= 107; the hotels can expect to rent out 107 rooms, on average, each night.
Option C
D
= 107; on one randomly selected night, the total number of rooms rented out will be 107.
Option D
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