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Confidence interval for the population mean

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A) Consider a population with known variance σ2 = 4. In a simple random sample of sizen = 15 we find ¯x = 3.

(a) Construct a 95% confidence interval for the population mean µ.

(b) Construct a 90% confidence interval for the population mean µ.

(c) Construct a 99% confidence interval for the population mean µ.

(d) Would an 85% confidence interval be wider or narrower than the 90% confidence interval? Answer this question without doing any calculations.

B) We take a simple random sample of size 50 from a population with unknown variance. We find the sample mean is ¯x = 25 and the sample standard deviation is s = 15.

(a) Give the 90% confidence interval for the population mean µ.

(b) Give the 95% confidence interval for the population mean µ.

(c) Give the 99% confidence interval for the population mean µ.

Reference no: EM131435556

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