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If you want to test if a sample variance equal to 8, what is the value...

If you want to test if a sample variance equal to 8, what is the value of the statistics given that the sample size is 100, sample mean is 7 and sample standard deviation is 3.5?

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Answer #1

Solution:

The test statistic formula is given as below:

Chi-square = (n – 1)*S^2/ σ2

From given data, we have

n = 100

S = 3.5

σ2 = 8

Chi-square = (100 - 1)*3.5^2/8

Chi-square = 99* 12.25/8

Chi-square = 151.59375

Value of the test statistic = 151.59375

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