Question 12 of 34

Suppose Rachel is searching for a new home. A report on the neighborhood she is interested in states that the average home size in the neighborhood is 2655 ft2 with a standard deviation of 205 ft2. Rachel thinks that this report is inaccurate and that homes in this neighborhood are smaller than reported. She investigates the records of a random sample of 36 homes in the neighborhood and finds the average home size to be 2465 ft2.

Which of the following are the correct null and alternative hypotheses?

Null hypothesis

0:=2465 ft2

0:=2655 ft2

0:=2465 ft2

0:<2655 ft2

0:=2655 ft2

0:<2655 ft2

Alternative hypothesis

1:<2465 ft2

1:<2655 ft2

1:<2465 ft2

1:<2655 ft2

1:2655 ft2

1:2655 ft2