Question

Suppose we take a random sample X1,…,X6 from a normal population with an unknown variance σ2...

Suppose we take a random sample X1,…,X6 from a normal population with an unknown variance σ2 and unknown mean μ.

Construct a two-sided 99% confidence interval for μ if the observations are given by

2.59,0.89,2.69,0.04,−0.26,1.31

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Answer #1

First of all we need to calculate mean and standard deviation of given data as following type

Sample Size: 6
Sample Mean: 1.21
Standard Deviation: 1.24
Confidence Level: 99%

Z=1.96
On plugging values in formula of confidence interval

99% Confidence Interval: 1.21 ± 1.3
(-0.09 to 2.51)

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