Question

You have collected the following data on weights of bags of flour: 1. data=c(5.34, 5.27, 5.28, 5.27, 5.29, 5.34, 5.32, 5.32, 5.26, 5.33) a. Do you believe the average weight of a bag of flour is 5 pounds? Support your answer with a confidence interval and a formal test. b. Do you believe the standard deviation of weights is equal to 0.1? Support your answer with a confidence interval and a formal test.

Answer 1

ANSWER! Given That x The following data on weight of bags of flour datas c(5.3u, 5. 29, 5:28, 5.27, 5:29,5-54, 5.32, 5.59, 5:33) g) The average wright of a bag of flour is 5 pounds. mean 5.302 S=0.0312, n. 10 - t value at 95% = 2.2622 Gl> mean +/-+* (568) = 5.302 + /-3.2692 * (0-0312 /sert (10)). - (5.9997 ,5.3243) & yes. The average weight of a bag of flour is 5 pounds. Scanned with CamScanner

by The standard deviation of weight is equal to al & chi square value for lower bound - 19.029 * chi square value for upper bound 2.700 ->((n-1)" 3") / lower bound e gå <((n-1)* 52) Jupper bound -> (10-1) * 0.0319°/19.013 < 5* < (10-1)* 0.0312?12.7 0.0005 es? <0.0039 spst 10.0005) < s < spot (0.0032) 0-0294 < 5 < 0.0566 deviation * - yes, we believe that the standard of weights is equal to al Scanned with CamScanner