A manufacturer claims that the mean weight of its ice cream cartons is 10 ounces
A manufacturer claims that the mean weight of its ice cream cartons is 10 ounces with a standard deviation of 0.5 ounce. Assume the weights are normally distributed. You test 25 cartons and find their mean weight is 10.21 ounces.
a. Assuming the manufacturer’s claim is correct, what is the probability that the mean of the sample is 10.21 ounces or more?
b. Using your answer from part (a), what do you think of the manufacturer’s claim?
c. Would it be unusual to have an individual carton with a weight of 10.21 ounces? Why or why not?
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- Assuming the manufacturer’s claim is correct, what is the probability that the mean of the sample is 10.21 ounces or more?
Z=2.10
P (x>10.21) = 1-0.9821
