Coal is carried from a mine in west virginia to a power plant in new york in hopper cars on a long train.   The automatic hopper car loader is set to put 77 tons of coal into each car.  The actual weights of coal loaded into each care are normally distributed with mean u= 77 tons and standard deviation 0= 1.1 ton.   A. What is the probability that one car chosen at random will have less than 76.5 tons of coal?  ( Round your answer to four decimal places.) B. What is the probability that 29 cars chosen at random will have a mean load weight x of less than 76.5 tons of coal? ( Round your answer to four decimal places)

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

Coal is carried from a mine in west virginia to a power plant in new york in hopper cars on a long train.   The automatic hopper car loader is set to put 77 tons of coal into each car.  The actual weights of coal loaded into each care are normally distributed with mean u= 77 tons and standard deviation 0= 1.1 ton.

 

A. What is the probability that one car chosen at random will have less than 76.5 tons of coal?  ( Round your answer to four decimal places.)

B. What is the probability that 29 cars chosen at random will have a mean load weight x of less than 76.5 tons of coal? ( Round your answer to four decimal places)

C. Suppose the weight of coal in one car was less than 76.5 tons.  Would that fact make you suspect that the loader had slipped out of adjustment.

Suppose the weight of coal in 29 cars selected at random had an average x of less than 76.5 tons.  Would that fact make you suspect that the loader had slipped out of adjustment? Why?

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 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