SOLUTION: PLEASE HELP ME SOLVE THIS, THANK YOU!
A certain brand of alcohol claims that the alcohol concentration of
the product is 70%. To test this claim, a random sample of 15
bottles
Algebra ->
Statistics
-> Hypothesis-testing
-> SOLUTION: PLEASE HELP ME SOLVE THIS, THANK YOU!
A certain brand of alcohol claims that the alcohol concentration of
the product is 70%. To test this claim, a random sample of 15
bottles
Log On
Question 1174776: PLEASE HELP ME SOLVE THIS, THANK YOU!
A certain brand of alcohol claims that the alcohol concentration of
the product is 70%. To test this claim, a random sample of 15
bottles of this brand were tested and an average of 68% alcohol
concentration was obtained with a standard deviation of 8%. Is the
claim valid at the 0.05 level of significance? Answer by ewatrrr(24785) (Show Source):
Hi
Sample: n = 15 , mean = .68, sd = .08
Ho: u = .70 (claim)
Ha: u < .70
------------------
t(.68) = (.68 -.70)/[.08/sqrt(15)] = -.0645
p-value = P( t< -.0645 when df = 14) = .47
Since the p-value is greater than 5%, fail to reject Ho.
Conclusion: The claim is reasonable at the 5% confidence level.
Wish You the Best in your Studies.