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6. A random sample of 18 students obtained a mean score of 82 and a variance...

6. A random sample of 18 students obtained a mean score of 82 and a variance of s2=16 on a college placement test in science. Assuming the scores to be normally distributed, construct a 90 percent confidence interval for variance, σ2.

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Answer #1

Solution:

The 90% confidence interval for the variance is:

Where:

Therefore, we have:

Therefore, the 90% confidence interval for variance is (9.860,31.365)

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