Question 242188: an advertisement claims that fasto stomach calm will provide relief from indigestion in less than 10 mins. for a test of the claim, 40 individuals were given the product; the average time until relief was 9.35 minutes. from past studies, the standard deviation of the population is known to be 2 minutes. can you conclude that the cliam is justified at a=0.05?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! an advertisement claims that fasto stomach calm will provide relief from indigestion in less than 10 mins. for a test of the claim, 40 individuals were given the product; the average time until relief was 9.35 minutes. from past studies, the standard deviation of the population is known to be 2 minutes. can you conclude that the cliam is justified at a=0.05?
---------------------------
Ho: u >= 10 min
H1: u < 10 min (claim)
-----------------------------
test statistic: t(9.35) = (9.35-10)/[2/sqrt(40)] = -2.0555..
critical value for left-tail test with alpha=5% and df = 39: t = -1.6849...
---------------
Since the test stat is in the reject interval, reject Ho and accept the claim.
==========================================================
Cheers,
Stan H.
|
|
|
