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standard deviation of 5. We want to test that whether there is a difference between two population variances. Use a 0.10 level of significance.

standard deviation of 5. We want to test that whether there is a difference between two population variances. Use a 0.10 level of significance.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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4- Assume that we have two machines named as 1 and 2 producing part 1 and 2, respectively. In each sample, the weigh of parts are observed. Eleven parts are taken from part 1 and ten pieces are taken from part 2. The samples of part 1 gives an average of 85 grams with a sample standard deviation of 9, whereas the samples of part 2 gives an average of 81 with a sample standard deviation of 5. We want to test that whether there is a difference between two population variances. Use a 0.10 level of significance.
Transcribed Image Text:4- Assume that we have two machines named as 1 and 2 producing part 1 and 2, respectively. In each sample, the weigh of parts are observed. Eleven parts are taken from part 1 and ten pieces are taken from part 2. The samples of part 1 gives an average of 85 grams with a sample standard deviation of 9, whereas the samples of part 2 gives an average of 81 with a sample standard deviation of 5. We want to test that whether there is a difference between two population variances. Use a 0.10 level of significance.
a) Hypothesis: H_0: of = o} :H_1: of > o; Result: Reject H_0 b) Hypothesis: H_0: o} = 03; H_1: o} + o;; Result: Reject H_0 Hypothesis: H_0: µi = µ2; H_1: µ1 7 µ2; Result: Fail to reject H_0 Hypothesis: H_0: o = o3; H_1: o} o3; Result: Fail to reject H_0 Hypothesis: H_: 01 = 02; H_1: 01 7 02; Result: Reject H_0 c) d) e)
Transcribed Image Text:a) Hypothesis: H_0: of = o} :H_1: of > o; Result: Reject H_0 b) Hypothesis: H_0: o} = 03; H_1: o} + o;; Result: Reject H_0 Hypothesis: H_0: µi = µ2; H_1: µ1 7 µ2; Result: Fail to reject H_0 Hypothesis: H_0: o = o3; H_1: o} o3; Result: Fail to reject H_0 Hypothesis: H_: 01 = 02; H_1: 01 7 02; Result: Reject H_0 c) d) e)
Expert Solution
Step 1

Given : n1=11 , n2=10 , s1=9 , s2=5 , α=0.10

Our aim is to find there is a difference between two population variances.

Here , we use F-test.

 

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