SOLUTION: Please help me solve this: 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 br

Question 1174738: Please help me solve this:
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): You can put this solution on YOUR website!


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.

RELATED QUESTIONS
PLEASE HELP ME SOLVE THIS, THANK YOU! A certain brand of alcohol claims that the... (answered by ewatrrr)

Please help me solve this Question : A certain amount of alcohol with a concentration... (answered by lwsshak3)

Please help me how to solve An alcoholic drink claims 12% alcohol b volume. Calculate the (answered by math_tutor2020,josgarithmetic)

Please help me solve the following: a 12 liter antifreeze solution is made up of water... (answered by lwsshak3)

Please help me solve this word problem: A pharmacist needs to strengthen a 15% alcohol... (answered by stanbon)

Please help me solve the story problem : One solution contains 50% alcohol and another... (answered by nerdybill)

Please help me answer this question. How much water should be added to a 22 mL of 15%... (answered by TimothyLamb)

Practice Test Question. How many liters of a 60%-alcohol solution must be mixed with... (answered by jorel1380)

A lab tech needs to make a 10 liter batch of antiseptic that is 60% alcohol. How can she... (answered by Mathtut)