Can someone check my answer please

A can of Pepsi is supposed to contain, on the average, 12 ounces of soda with a standard deviation of 0.3 ounces. Suspecting fraud, you take a random sample of 40 cans and measure the amount of Pepsi in each. Your measurements show that the 40 cans had a mean of 11.9 ounces. What is the probability of a random sample of 40 cans having a mean of 11.9 ounces of soda or less?

0.3707 or 37.1%

Question

Can someone check my answer please

A can of Pepsi is supposed to contain, on the average, 12 ounces of soda with a standard deviation of 0.3 ounces. Suspecting fraud, you take a random sample of 40 cans and measure the amount of Pepsi in each. Your measurements show that the 40 cans had a mean of 11.9 ounces. What is the probability of a random sample of 40 cans having a mean of 11.9 ounces of soda or less? 

0.3707 or 37.1%

mathmale · Answer

Especially since solving this problem requires multiple steps, I'd like to see your work before attempting to check your answer.  Why not take a cell phone photo of what you've done so far and upload that image here (using Attach File)?

anonymous · Answer

(11.9-12)/0.3 = - 0.33 to 2 dp 
P(z<-0.33) = 0.3707