Question 903:

Asked on October 16, 2011

Consider a random sample of 9 observations, from a Normal distribution, with sample average 25.0.

a) Calculate a 95% confidence interval for the population mean μ when the standard deviation (σ) is known to be equal to 3.0.

b) Repeat a) when instead the standard deviation is unknown and is estimated as s = 3.0.

c) Explain the difference, if any, in width between these two intervals.

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