The area of a parking lot is calculated to be 5,474 ft2 with an estimated standard deviation of 2 ft2 . What is the Maximum Anticipated Error? There is a 90% chance that the error range will be what?

Respuesta :

Answer: There is a 90% chance that the error range will be with in 3.29 ft² .

Step-by-step explanation:

Given : The  area of a parking lot is calculated to be 5,474 ft² .

Estimated standard deviation = 2 ft²

The critical z-value for 90% confidence interval is 1.645 (from z-table)

Then, the Maximum Anticipated Error = ( critical z-value ) x ( standard deviation )

= 1.645 (2) =3.29 ft²

i.e.  Maximum Anticipated Error = 3.29 ft²

Hence, there is a 90% chance that the error range will be with in 3.29 ft² .