Question

A consumer group was interested in comparing the percentage of caffeine between two flavor blends of tea. Caffeine is measured in mg per 8 oz cup of tea. The two flavors were Orange- Oolong and Peach- Mint. Group members took a random sample of 20 tea bags from the Orange-Oolong flavor and 22 from the Peach-Mint flavor and the mg of caffeine was measured. The Orange-Oolong had an average caffeine value of 63 mg with a standard deviation of .8mg and the Peach-Mint had an average of 60mg with a standard deviation of 1.4mg. Do these samples indicate that the Peach-Mint has less caffeine on average than the Orange-Oolong? ForHo :μ1 =μ2 vsHA :μ1 >μ2 Useα=.05

a.) pooled variance s2p = A.) 1.097 B.)1.33 C.)1.855 D.)1.06

b.) test statistic= A.) t=9.61 B.)z=8.410 C.)z=9.431 D.) t=8.431

c.) p-value= A.) .073 B.).000 C.).003 D.) .065

Answer 1