Hypothesis tests about a population mean, population standard deviation unknown
ID: 3181789 • Letter: H
Question
Hypothesis tests about a population mean, population standard deviation unknown Airlines compute the weight of outbound flights using either standard average weights provided by the Federal Aviation Administration (FAA) or weights obtained from their own sample surveys. The FAA standard average weight for a passenger's carry-on items (personal items plus carry-on bags) is 16 pounds. Many airline companies have begun implementing fees for checked bags. Economic theory predicts that passengers will respond to the increase in the price of a checked bag by substituting carry-on bags for checked bags. As a result, the mean weight of a passenger's carry-on items is expected to increase after the implementation of the checked-bag Suppose that a particular airline's passengers had a mean weight for their carry-on items of 16 pounds, the FAA standard average weight, before implementation of the checked-bag fee. The airline conducts a hypothesis test to determine whether the current mean weight of its passengers' carry-on items is more than 16 pounds. It selects a random sample of G4 passengers and weighs their carry-on items. The sample mean is x = 17.2 pounds, and the sample standard deviation is s = 6.2 pounds. The airline uses a significance level of alpha = .05 to conduct its hypothesis test. The hypothesis test is ____ test. The test statistic follows a ____ distribution. The value of the test statistic is___.Explanation / Answer
hypothesis test is right tailed one sample test.
test stat follows a t distribution
std error =std deviaiton/(n)1/2 =0.775
hence test stat =(X-mean)std error =(17.2-16)/0.775=1.5484
reject Ho if t>=1.669
p vlaue =0.0633
null hypothesis is retained , becasue tstat < t critical
uising the p a........null hypothesis is retained because p value > 0.05 level , you can not conclude
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.