Cola makers test new recipes for loss of sweetness during storage. Trained taste

Question

Cola makers test new recipes for loss of sweetness during storage. Trained tasters rate the sweetness before and after storage. Here are the sweetness losses (sweetness before storage minus sweetness after storage) found by 10 tasters for one new cola recipe 2.1 0.5 0.8 2.1-0.3 2.3-1.2 1.3 1.2 2. 4 Take the data from these 10 carefully trained tasters as an SRS from a large population of all trained tasters. as an SRS from a large population of all trained (a) use these data to see if there is good evidence that the cola lost sweetness. (Round your answer to three decimal places. Assume a 95% confidence level.) t-

Explanation / Answer

Hypothesis:

Ho : mud = 0

Ha : mud < 0

dbar (mean) =    1.12
s(dbar) (std.dev.) = 1.1960
n =10
SE = s(dbar)/sqrt(n) = 0.3782

Test Statisitcs,

t = dbar/SE = -12.063
degrees of freedom = n-1 = 4

p-value   0.0001

So, we reject the null hypothesis at 0.05 significance level.

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