A random sample of size n = 25 from a normal distribution with mean u and variance 36 has sample mean X = 16.3. (a) Calculate confidence intervals for u at three levels of confidence: 80%, 90% and 99%. How to the widths of the confidence intervals change? (b) How would the CI width change if n is increased to 100?
A random sample of size n = 25 from a normal distribution with mean u and variance 36 has sample mean X = 16.3. (a) Calculate confidence intervals for u at three levels of confidence: 80%, 90% and 99%. How to the widths of the confidence intervals change? (b) How would the CI width change if n is increased to 100?
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
Transcribed Image Text:A random sample of size n = 25 from a normal distribution with mean u and variance 36 has sample mean
X = 16.3.
(a) Calculate confidence intervals for u at three levels of confidence: 80%, 90% and 99%. How to the widths
of the confidence intervals change?
(b) How would the CI width change if n is increased to 100?
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