Question

If X= 101, σ= 6, and n = 69, construct a 95% confidence interval estimate of the population mean, μ. (Round to two decimal places as needed.)
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Answer 1

Answer - 1: For 95% confidence interval, z = 1.96

Hence,

95% confidence interval for mean will be:

$101 \pm 1.96*6/\sqrt{69}$

$101 \pm 1.416$

$101 - 1.416 \leq \mu \leq 101+1.416$

$99.58 \leq \mu \leq 102.42$

Answer - 2: For 95% confidence interval, z = 1.96

Hence,

Sample size required

$n = (1.96*12/3)^2$

n = 61.46

n = 62