SOLUTION: the data below represents the viscosity of automobile oil samples selected at random from a particular manufacturer. use this data to test the claim that the mean viscosity of all

Question 632567: the data below represents the viscosity of automobile oil samples selected at random from a particular manufacturer. use this data to test the claim that the mean viscosity of all oil manufactured by this company is equal to 15.0 if it is known that the viscosities are normally distributed. Test at 5% level of significance and answer the following questions.
Data
14.61, 14.97, 14.28, 14.40, 14.19, 15.02, 15.05, 15.19, 15.13, 14.65
Solve
Ho:
Ha:
P-Value:
Conclusion:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
the data below represents the viscosity of automobile oil samples selected at random from a particular manufacturer. use this data to test the claim that the mean viscosity of all oil manufactured by this company is equal to 15.0 if it is known that the viscosities are normally distributed. Test at 5% level of significance and answer the following questions.
Data
14.61, 14.97, 14.28, 14.40, 14.19, 15.02, 15.05, 15.19, 15.13, 14.65
Solve
Ho: u = 15
Ha: u # 15
------------------
P-value = ?
x-bar = 14.749
s = 0.3706
-------------------
t(14.749) = (14.749-15)/[0.3706/sqrt(10)] = -2.1417
=====
P(value) = 2*P(t < 2.1417 when df = 9) = 0.0609
======================
Since the p-value is greater than 5%, fail to reject Ho.
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Cheers,
Stan H.
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