Let the quantity of the production of a new machine and of the old machine are two population and normally distributed with the variances 1 and 1.4 respectively. Find the confidence interval estimation of the differences between the means of the two populations. 1. X1 X2 42.1 42.7 41 43.6 41.3 43.8 41.8 43.3 42.4 42.5 42.8 43.5 43.2 43.1 42.3 41.7 41.8 44 42.7 44.1

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
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Let the quantity of the production of a new machine and of the old machine are two
population and normally distributed with the variances 1 and 1.4 respectively. Find the
confidence interval estimation of the differences between the means of the two populations.
1.
X1
X2
42.1
42.7
41
43.6
41.3
43.8
41.8
43.3
42.4
42.5
42.8
43.5
43.2
43.1
42.3
41.7
41.8
44
42.7
44.1
Where X1: New machine and X2: Old machine.
2. The performance of two populations (Boys and Girls) is normally distributed with known
variances 5 and 4 respectively. Find the confidence interval estimation of the differences between
the means of the two populations.
Вoys: 39, 38, 27, 36, 40, 27, 43, 36, 34, 33
Girls: 41, 41, 33, 42, 47, 38, 41, 36, 36, 32, 46
Assume the variances of above examples are unknown. Find the confidence interval
estimation of the differences between the means of the above populations.
3.
Remark: Assume the level of significance is 0.5.
Transcribed Image Text:Let the quantity of the production of a new machine and of the old machine are two population and normally distributed with the variances 1 and 1.4 respectively. Find the confidence interval estimation of the differences between the means of the two populations. 1. X1 X2 42.1 42.7 41 43.6 41.3 43.8 41.8 43.3 42.4 42.5 42.8 43.5 43.2 43.1 42.3 41.7 41.8 44 42.7 44.1 Where X1: New machine and X2: Old machine. 2. The performance of two populations (Boys and Girls) is normally distributed with known variances 5 and 4 respectively. Find the confidence interval estimation of the differences between the means of the two populations. Вoys: 39, 38, 27, 36, 40, 27, 43, 36, 34, 33 Girls: 41, 41, 33, 42, 47, 38, 41, 36, 36, 32, 46 Assume the variances of above examples are unknown. Find the confidence interval estimation of the differences between the means of the above populations. 3. Remark: Assume the level of significance is 0.5.
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