Saturday

August 23, 2014

August 23, 2014

Posted by **Anonymous** on Sunday, November 1, 2009 at 7:42pm.

a) Construct a 95% confidence interval estimate for the population mean the price for 2 tickets with online service charges, large popcorn and 2 medium soft drinks, assuming a normal distribution.

mean of sample = 36.53

n = 6

standard deviation = 19.26866 ( square root of ((36.15 - 36.53)^2 + (31 - 36.53)^2 + (35.05 - 36.53)^2 + (40.25 - 36.53)^2 + (33.75 - 36.53)^2 + (43 - 36.53)^2) / 6-1)

standard error of sample mean = 7.8664

critical value of t = 0.025

degrees of freedom = 5

95% C.I. = 36.53 +/- (critical value of t = 0.025)(7.8664)

95% C.I. = 36.53 +/- (2.571)(7.8664)

95% C.I. = 36.53 +/- 20.2245

My answer is wrong and the interval estimate is between 31.9267 and 41.1399. I think my error is solving for the standard deviation. How do you solve for it? Please provide a step-by-step solution. Thank you.

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