A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 214.5-cm and a standard deviation of 2.4-cm. Suppose a rod is chosen at random from all the rods produced by the company. There is a 97% probability that the rod is longer than: __________________ Enter your answer as a number accurate to 1 decimal place.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

1)A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 214.5-cm and a standard deviation of 2.4-cm. Suppose a rod is chosen at random from all the rods produced by the company. There is a 97% probability that the rod is longer than:

__________________

Enter your answer as a number accurate to 1 decimal place.

2)A company produces packets of soap powder labeled "Giant Size 20 oz." The actual weight of soap powder in such a box has a Normal distribution with a mean of 21 oz and a standard deviation of 0.7 oz. To avoid dissatisfied customers, a box of soap is considered underweight if it weighs less than 20 oz. To avoid losing money, the top 5% (the heaviest 5%) is labeled overweight.

How heavy does a box have to be in order for the box to be labeled overweight?

____________________ oz Round to 2 places.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 8 images

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.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman