Question

The weights of a certain brand of candies are normally distributed with a mean weight of 0.8541 g and a standard deviation of 0.0517g. A sample of these candies came from a package containing 440 candies and the package label stated that the net weight is 375.6 ( If every package has 440 candies, the mean weight of the candies must exceed 374 / 440= 0.8536 g for the net contents to weigh at least 375.6 g)g.)

a. If 1 candy is randomly​ selected, find the probability that it weighs more than 0.8536 g

The probability is.........(Round to four decimal places as​ needed.)

b. If 440 candies are randomly​ selected, find the probability that their mean weight is at least 0.8536 g

The probability that a sample of 440 candies will have a mean of 0.8536 g or greater is........... (Round to four decimal places as​ needed.)

c.Given these​ results, does it seem that the candy company is providing consumers with the amount claimed on the​ label?

..............because the probability of getting a sample mean of 0.8536 g or greater when 440 candies are selected.................exceptionally small.

440440

candies are randomly​ selected, find the probability that their mean weight is at least

0.85360.8536

g.The probability that a sample of

440440

candies will have a mean of

0.85360.8536

g or greater is

nothing.

​(Round to four decimal places as​ needed.)

c. Given these​ results, does it seem that the candy company is providing consumers with the amount claimed on the​ label?

▼

No,

Yes,

because the probability of getting a sample mean of

0.85360.8536

g or greater when

440440

candies are selected

▼

is

is not

exceptionally small.

Answer 1