Question

How much caffeine is in King of Caffeine cola? A dozen randomly selected cans of King of Caffeine cola had these caffeine (mg) values:

34.2 | 33.7 | 31.9 34.3 31.232.7 33.1 | 35.2 | 31.6 32.9 33.0 32.4

A. Estimate the mean caffeine level among all cans of King of Caffeine cola with 95% confidence. Interpret the confidence interval in the context of the problem.

B. What minimum sample size would be needed to estimate the mean caffeine level within 0.4 mg with 95% confidence? Show your work.

Answer 1

A.) n = 12 28 = 13096ity 396.2 (n=396.2 [23.0167 Mean 2 12 3= (hu) af 1 tare:2.201 af. -5 I (tan The art Interpretation we I am ) Confidence interra for the maanot all langu = 33.0/67 +(2.2014 11€)) 132.2665 << [33.7669 reg are 95%. Confident that the mean Cotteine level among all Cans of King of Catteine Cola is lies in this interved ca is It the margin of exror (Eks 0.4 The the sample size headed is = (tous) E 2.201x 1.1808) *=-143