To avoid difficulties with the Federal Trade Commission or state and local consumer protection agencies , a beverage bottler must make reasonably certain that 12 - ounce bottles actually contain 12 ounces of beverage . To determine whether a bottling ma chine is working satisfactorily , one bottler randomly samples 12 bottles per hour and measures the amount of beverage in each bottle . The mean 7 of the 12 fill measure ments is used to decide whether to readjust the amount of beverage delivered per bot tle by the filling machine . If records show that the amount of fill per bottle is normally distributed , with a standard deviation of .2 ounce , and if the bottling machine is set to produce a mean fill per bottle of 12.1 ounces , what is the approximate probability that the sample mean x of the 12 test bottles is less than 12 ounces ?
To avoid difficulties with the Federal Trade Commission or state and local consumer protection agencies , a beverage bottler must make reasonably certain that 12 - ounce bottles actually contain 12 ounces of beverage . To determine whether a bottling ma chine is working satisfactorily , one bottler randomly samples 12 bottles per hour and measures the amount of beverage in each bottle . The mean 7 of the 12 fill measure ments is used to decide whether to readjust the amount of beverage delivered per bot tle by the filling machine . If records show that the amount of fill per bottle is
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
