Question: Calculate the probability for sample mean less than 497.4 mL ?
An energy drink maker claims that its cans contain 500 mL of the drink. A student who recently took a statistics course believes that the company may be slightly underfilling the cans. She takes a random sample of n = 62 cans and carefully measures the volume of the drink in each. The sample of 62 reveals a mean of 497.4 mL and a standard deviation of 6.0 mL. You may assume that the sample standard deviation is a good approximation of the population standard deviation for the purposes of this question.  Edit

Answer: Need to find P(x bar <497.4)=?
test statistic, z= ( x bar - mean)/se=(497.4-500)/(6/sqrt(62))=-3.41

P(z<-3.14)=0.5-P(0Edit