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.
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)
6. A random sample of 18 students obtained a mean score of 82 and a variance...
A random sample of 30 students yielded a mean of x(bar) = 72 and a variance of s2 = 10 for scores on a college placement test in mathematics. Assuming the scores to be normally distributed, construct a 95% confidence interval for σ2. a. [6.34 < σ2 < 18.07] b. [7.38 < σ2 < 20.37] c. [6.72 < σ2 < 19.36] d. [7.61 < σ2 < 21.69]
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