Differences in the downstairs temperature

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A local graduate student is renting a basement apartment from a couple in town. The rent is cheap, but the air conditioning situation is less than perfect. The student decides to conduct an experiment to test whether the thermostat in the basement is functioning properly. Over the course of nine days he records the temperature in the basement and in the living room upstairs, at roughly the same time.

The differences in the downstairs temperature and the upstairs i.e. down-up are given by, = ¯

{-2, -2, 2, 0, -4, -4, 2, 0, 4}. The mean difference in temperature is = -.44, and the standard deviation of the differences is = 2.78. Is there reasonable evidence at the = .05 level to conclude that the basement is consistently cooler than the upstairs?

Reference no: EM132581232

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