Question

A vending machine is designed to dispense 8 ounces of coffee into a cup. After a test that recorded the number of ounces of coffee in each of 1000 cups dispensed by the vending machine, the 12 listed amounts, in ounces, were selected from the data above. If the 1000 recorded amounts have a mean of 8.1 ounces and a standard deviation of 0.3 ounces, how many of the 12 listed amounts are within 1.5 standard deviation of the mean?

A. Four
B. Six
C. Nine
D. Ten
E. Eleven

Answer 1

The answer is letter E.

Step-by-step explanation:

Within 1.5 standard deviation means:

{mean-1.5*sd; mean+1.5*sd} = {8.1-1.5*0.3; 8.1 + 1.5*0.3}= {7.65; 8.55}

From the 12 listed amountd, only one (7.51) is out of this rage and 11 is within this rage.