Question

The melting point of each of 16 samples of a certain brand of hydrogenated vegetable oil...

The melting point of each of 16 samples of a certain brand of hydrogenated vegetable oil was determined, resulting in sample mean x bar =94.32 and the standard deviation s = 1.2. Assume that the distribution of melting point is normal. Test H0: μ=95 verses Ha: μ<95. using a significance level of 0.01.

Math   Statistics-And-Probability   
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Answer #1

Solution :

The null and alternative hypothesis is ,

H0 :   = 95

Ha : < 95

Test statistic (t) =

= ( - ) / s / n

= (94.32 - 95) / 1.2 / 16

Test statistic = -2.27

P-value = 0.0193

= 0.01

P-value >

Fail to reject the null hypothesis .

There is insufficient evidence to support the claim.

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