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Part B) assume the sample mean x and sample standard deviation s remained the same as you just calculated but based on a sample of n = 25 observations.
The random sample shown below was selected from a normal distribution. 5, 5, 5, 10, 6,5 o Complete parts a and b. a. Construct a 95% confidence interval for the population mean μ Round to two decimal places as needed.)
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a) From the given information, size of the sample 6, 136 Sample mean is x = =-= 6.00 Sample standard deviation is s 100 (1-a)% confidence interval for populati on mean 1 s | x-tGAH 2 12%- 2-200, = (a/2.2-1),下, x 5+ea- 95% confidence interval of the mean is (, ) 분)- 2.00 2.00 6.00-2.571 6.00+2.571 (3.901,8.099) (3.91,8.10) Lower limit- 3.91, Upper limit- 8.10 Therefore, 95% confidence interval for the population mean is (3.9 1,8 1 0) b) From the given information, size of the sample n= 25, Sample mean is x= 6.00, Sample standard deviation is s= 2.00 95% confidence interval of the mean is ( (3 ), ( )-(5174.6 826)-(517,683) 2.00 2.00 6.00-2.064 6.00+2.064 Lower limit-5.17,Upper limit 6.83 Therefore, 95% confidence interval for the population mean μ is (517,683)

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