Question: A paper manufacturer requires a minimum strength of 20 pounds per square inch. To check on the quality of the paper, a random sample of 10 pieces of paper is selected each hour from the previous hour’s production and a strength measurement is recorded for each. Assume that the strength measurements are normally distributed with a standard deviation ? = 2 pounds per square inch. Required: What is the approximate sampling distribution of the sample mean of ? = 10 test pieces of paper? If the mean of the population of strength measurements is 21 pounds per square inch, what is the approximate probability that, for a random sample of ? = 10 test pieces of paper, ?̅ = 20?

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:

A paper manufacturer requires a minimum strength of 20 pounds per square inch. To check on the quality of the paper, a random sample of 10 pieces of paper is selected each hour from the previous hour’s production and a strength measurement is recorded for each. Assume that the strength measurements are normally distributed with a standard deviation ? = 2 pounds per square inch.

Required:

    1. What is the approximate sampling distribution of the sample mean of ? = 10 test pieces of paper?
    2. If the mean of the population of strength measurements is 21 pounds per square inch, what is the approximate probability that, for a random sample of ? = 10 test pieces of paper, ?̅ = 20?  
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 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.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill