10. A simple random sample of size n is drawn from a population that is known to be normally distributed. The sample variance, s², is determined to be 19.8. (a) Construct a 95% confidence interval for o² if the sample size, n, is 10. (b) Construct a 95% confidence interval for o² if the sample size, n, is 25. How does increasing the sample size affect the width of the interval? (c) Construct a 99% confidence interval for o² if the sample size, n, is 10. Compare the results with those obtained in part (a). How does increasing the level of confidence affect the width of the confidence interval?

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10. A simple random sample of size n is drawn from a
population that is known to be normally distributed. The
sample variance, s², is determined to be 19.8.
(a) Construct a 95% confidence interval for o² if the sample
size, n, is 10.
(b) Construct a 95% confidence interval for o² if the sample
size, n, is 25. How does increasing the sample size affect the
width of the interval?
(c) Construct a 99% confidence interval for o² if the sample
size, n, is 10. Compare the results with those obtained in
part (a). How does increasing the level of confidence affect
the width of the confidence interval?
Transcribed Image Text:10. A simple random sample of size n is drawn from a population that is known to be normally distributed. The sample variance, s², is determined to be 19.8. (a) Construct a 95% confidence interval for o² if the sample size, n, is 10. (b) Construct a 95% confidence interval for o² if the sample size, n, is 25. How does increasing the sample size affect the width of the interval? (c) Construct a 99% confidence interval for o² if the sample size, n, is 10. Compare the results with those obtained in part (a). How does increasing the level of confidence affect the width of the confidence interval?
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