Question

Suppose Rachel is searching for a new home. A report states that the mean home size in a particular neighborhood is 2655 ft with a standard deviation of 205 ft. Rachel thinks that these reports are inaccurate and that homes in this neighborhood are smaller than reported. She researches the records of 36 homes in the neighborhood and finds the mean size to be 2465 ft? Which of the following is Rachel's claim? The mean square footage of all homes in the neighborhood is less than 2655 ft? The mean square footage of all homes in the neighborhood is equal to 2655 ft? The mean square footage of the 36 sampled homes is less than 2655 ft? The mean square footage of all the homes in the neighborhood is less than 2465 ft? The mean square footage of the 36 sampled homes is less than 2465 ft?

Answer 1

Rachel's Claim is

"The mean square footage of all homes in the neighbourhood is less than 2655 $ft^{2}$ ".