Caffeine in Tea Bags In a recent study, researchers found that the average amount of caffeine in tea bags is 26 mg. The standard deviation of the population
is 3 mg. If a random sample of 45 newly manufactured tea bags has a mean of 24.8 mg of caffeine, can it be concluded that the new brand of tea bags contain
less caffeine than the average found in the recent study? Use a = 0.10, and use the P-value method with tables.
Part 1 of 5
(a) State the hypotheses and identify the claim.
Ho: μ = 26 not claim
ā¼
Hā: μ < 26 claim
ā¼
This hypothesis test is a one-tailed
ā¼ test.
Part: 1/5
Part 2 of 5
(b) Compute the test value. Always round z score values to at least two decimal places.
Z
X
5