Question

Asked Jul 5, 2019

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Use a χ2-test to test the claim σ2=0.49 at the α=0.10 significance level using sample statistics s2=0.465 and n=15.

Assume the population is normally distributed.

Step 1

In order to test the hypothesis of H0: sigma square is equal to 0.49 versus Ha: sigma square not equal to 0.49 using a 10% level of significance with a random sample from a normal population shows that the sample size n is equal to 15 and standard deviation is equal to 0.682.

We define the test hypothesis as:

Null hypothesis as: H0: sigma square is equal to 0.49

Against the alternative hypothesis as;

Ha: sigma square not equal to 0.49

In order to test this hypothesis we used chi square test statistics as follows:

Step 2

In order to test this hypothesis we used chi square test statistics as follows:

__Test Statistics:__

__The chi- square hypothesis test is defined as;__

__Null hypothesis:__

Step 3

P value for this test is deter...

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