Question #190009

the sample mean is computed from a random sample of size 25 drama from a population having SD find i)90% ii) 99% confidence interval of the population mean


1
Expert's answer
2021-05-07T14:16:17-0400

Sample size n=25n = 25

Sample mean =xˉ= \bar x

Sample standard deviation =s= s


CI=xˉ±zsnCI = \bar x \pm z \dfrac{s}{\sqrt{n}}


a.) CI=xˉ±1.645snCI = \bar x \pm 1.645 \dfrac{s}{\sqrt{n}} (z score at 90% = 1.645 )


b.) CI=xˉ±1.96snCI = \bar x \pm 1.96 \dfrac{s}{\sqrt{n}} (z score at 95% = 1.96 )


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