A cereal-packing company where the content of cereal boxes must have a mean of 368 grams and a standard deviation of 12 to satisfy the labeling on the box. Because it is expensive to weigh every box produced at the factory, a sample of boxes is used to estimate the actual mean. After analyzing the data sample, the operations manager must decide whether or not the manufacturing process is working as expected. If you select a sample of 100 boxes, what is the probability that the sample mean is below 365 grams? Enter your result as a value with 5 digits after the decimal point.

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

Question 5

A cereal-packing company where the content of cereal boxes must have a mean of 368 grams and a standard deviation of 12 to satisfy the labeling on the box. Because it is expensive to weigh every box produced at the factory, a sample of boxes is used to estimate the actual mean. After analyzing the data sample, the operations manager must decide whether or not the manufacturing process is working as expected.

If you select a sample of 100 boxes, what is the probability that the sample mean is below 365 grams? Enter your result as a value with 5 digits after the decimal point.

 

Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill