usties/YEAR%202%202019-2020/FIRST%20SEMESTER/ST2505/ST2501%20Exercise P(|X1 - X2| > 2). 7. A manufacturer of paper used for packaging 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. The standard deviation o of the strength measurements, computed by pooling the sum of squares of deviations of many sam- ples, is known to equal 2 pounds per square inch, and the strength measurements are normally distributed. a) What is the approximate sampling distribution of the sample 10 test pieces of paper? mean of n= b) 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 n = 10 test pieces of paper, X < 20? c) What value would you select for the mean paper strength u in order that P(X < 20) be equal to 0.001?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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ST2501 Exercise 1.pdf X +
"C/Users/TSEPISO%20MAJARA/Desktop/Certificate%20in%20Statistics/YEAR%202%202019-2020/FIRST%20SEMESTER/ST2505/ST2501%20Exerase
P(|X1 – X2| > 2).
7. A manufacturer of paper used for packaging 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. The standard deviation o of the strength measurements,
computed by pooling the sum of squares of deviations of many sam-
ples, is known to equal 2 pounds per square inch, and the strength
measurements are normally distributed.
a) What is the approximate sampling distribution of the sample
mean of n = 10 test pieces of paper?
раper?
b) 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 n=
10 test pieces of paper, X < 20?
c) What value would you select for the mean paper strength u in
order that P(X <20) be equal to 0.001?
Transcribed Image Text:ST2501 Exercise 1.pdf X + "C/Users/TSEPISO%20MAJARA/Desktop/Certificate%20in%20Statistics/YEAR%202%202019-2020/FIRST%20SEMESTER/ST2505/ST2501%20Exerase P(|X1 – X2| > 2). 7. A manufacturer of paper used for packaging 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. The standard deviation o of the strength measurements, computed by pooling the sum of squares of deviations of many sam- ples, is known to equal 2 pounds per square inch, and the strength measurements are normally distributed. a) What is the approximate sampling distribution of the sample mean of n = 10 test pieces of paper? раper? b) 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 n= 10 test pieces of paper, X < 20? c) What value would you select for the mean paper strength u in order that P(X <20) be equal to 0.001?
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