The weights of ice cream cartons are normally distributed with a mean weight of 9 ounces and a standard deviation of 0.5 ounce. (a) What is the probability that a randomly selected carton has a weight greater than 9.16 ounces? (b) A sample of 16 cartons is randomly selected. What is the probability that their mean weight is greater than 9.16 ounces? (a) The probability is (Round to four decimal places as needed.) (b) The probability is . (Round to four decimal places as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
icon
Related questions
Question
The weights of ice cream cartons are normally distributed with a mean weight of 9 ounces and a standard deviation of
0.5 ounce.
(a) What is the probability that a randomly selected carton has a weight greater than 9.16 ounces?
(b) A sample of 16 cartons is randomly selected. What is the probability that their mean weight is greater than 9.16
ounces?
(a) The probability is
(Round to four decimal places as needed.)
(b) The probability is .
(Round to four decimal places as needed.)
Transcribed Image Text:The weights of ice cream cartons are normally distributed with a mean weight of 9 ounces and a standard deviation of 0.5 ounce. (a) What is the probability that a randomly selected carton has a weight greater than 9.16 ounces? (b) A sample of 16 cartons is randomly selected. What is the probability that their mean weight is greater than 9.16 ounces? (a) The probability is (Round to four decimal places as needed.) (b) The probability is . (Round to four decimal places as needed.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 1 steps

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,