Question

Construct a 99% confidence interval to estimate the population mean using the following data. What assumptions need to be made to construct this interval? x=88 20 n 11 What assumptions need to be made to construct this interval? Tre O A. The population mean will be in the confidence interval. en OB. The sample size is less than 30. et c . The population must be normally distributed. D. The population is skewed to one side. With 99% confidence, when n= 11 the population mean is between the lower limit of (Round to two decimal places as needed.) and the upper limt of

Answer 1

% confidence interual to estimate solution - To construct a gg the population mean. Given that sample mean (7)=88 sample size (0) = 11 population standard deviation (6)= 20. Assume option @ is correct that The the population is normally distributed population must be normally distributed Here Cagg % x=0.gg 1-2= 0,01, 4/2 =0.005 The sample size (n) < 30, but the population standard deviction is known, then we have to use 2-table, we get 24/2 = 20.005 = 2.57 Thus gg % confidence internal is (7- 20126170 5T + 2012 Olva . :: ( 88 - (2.57) 20 88+ (2.57) 20) VIT / (88 - 15.4976 88 + 15.4976) (72.5024 103.4976) ie. (72.50 103.so) Hith gg % between limit of confidence, when the lower limit 103.50 all the of 72.50 population and the mean is upper