Question

QUESTION 3 5 points Save Answer Given a sample of 12, with a mean of=10 Std Dev =2. Construct the 95% Confidence interval. Lower end higher end (ust enter the numbers in the spaces provided, round to 2 decimal places. Example of answer: Lower end 1.11, higher end 2.22)

Answer 1

CI=(8.87 , 11.14) rounded to two decimal places

Solution: The provided sample mean is X = 10 and the population standard deviation is o = 2. The size of the sample is n = 12 and the required confidence level is 95%. Based on the provided information, the critical z-value for a = 0.05 is ze = 1.96. The 95% confidence for the population mean u is computed using the following expression Zcxo - ( CI X + Zexo vn Therefore, based on the information provided, the 95% confidence for the population mean u is CI 10 1.96 x 2 1.96 x 2 , 10+ V12 12 = (10 – 1.132, 10 + 1.132) = (8.868, 11.132)

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