In: Statistics and Probability
Two brands of cigarettes are selected, and their nicotine content is compared. The data is below:
Brand A: sample mean = 30.8, the sample standard deviation = 5, the sample size 37
Brand B: sample mean = 33.1, the sample standard deviation = 4, the sample size 46
A) Find the margin of error for 95% confidence interval of the true difference in the means
B) Find the lower bound of 95% confidence interval of the true difference in means (round answer 3 decimal places)
C) Find upper bound of 95% confidence interval of the true difference in means (round answer 3 decimal places)
D) Based on the 95% confidence interval calculated, can you conclude which brand has a lower nicotine level?