SOLUTION: In one region, the september energy consumption levels for a single-family homes are found to be nomrally distributed with a mean of 1030kWh and a standard deviation of 22kWh. Find

Algebra ->  Probability-and-statistics -> SOLUTION: In one region, the september energy consumption levels for a single-family homes are found to be nomrally distributed with a mean of 1030kWh and a standard deviation of 22kWh. Find      Log On


   

Question 445391: In one region, the september energy consumption levels for a single-family homes are found to be nomrally distributed with a mean of 1030kWh and a standard deviation of 22kWh. Find the probability that for 16 randomly selected homes, the average energy consumption in September is less than 1021kWh.
A) 0.0505 B)03.409 C)0.6591 D)0.9495
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

september energy consumption levels for a single-family homes are found to be normally distributed

mu of 1030kwph and a sigmaof 22kwh

probability that for 16 randomly selected homes, 

the average energy consumption in September is less than 1021kWh

  *Note: z+=+%28x+-+mu%29%2F%28%28sigma%29%2Fsqrt%28n%29%29

    z = +%281021-1030%29%2F%2822%2F4%29+=+-9%2F%2822%2F4%29+=+-9%2F5.5+=+-1.6364

   P( z < -1.6364) = .0509        NORMSDIST(-1.6364)per Excel



Point being not much probability of that happening