The fill amount of bottles of a soft drink is normally distributed, with a mean of 1.0 liter and a standard deviation of liter. Suppose you select a random sample of 25 bottles. a. What is the probability that the sample mean will be between 0.99 and 1.0 liter? b. What is the probability that the sample mean will be below 0.98 liter? c. What is the probability that the sample mean will be greater than 1.01 liters?

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 fill amount of bottles of a soft drink is normally distributed, with a mean of 1.0 liter and a standard deviation of 0.05
liter. Suppose you select a random sample of 25 bottles.
a. What is the probability that the sample mean will be between 0.99 and 1.0 liter?
b. What is the probability that the sample mean will be below 0.98 liter?
c. What is the probability that the sample mean will be greater than 1.01 liters?
d. The probability is 90% that the sample mean amount of soft drink will be at least how much?
e. The probability is 90% that the sample mean amount of soft drink will be between which two values (symmetrically
distributed around the mean)?
Transcribed Image Text:The fill amount of bottles of a soft drink is normally distributed, with a mean of 1.0 liter and a standard deviation of 0.05 liter. Suppose you select a random sample of 25 bottles. a. What is the probability that the sample mean will be between 0.99 and 1.0 liter? b. What is the probability that the sample mean will be below 0.98 liter? c. What is the probability that the sample mean will be greater than 1.01 liters? d. The probability is 90% that the sample mean amount of soft drink will be at least how much? e. The probability is 90% that the sample mean amount of soft drink will be between which two values (symmetrically distributed around the mean)?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 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,