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.

(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 =

Answer 1

test stat t='(x-μ)*√n/s=

2.961

p value                                 =

0.0080

since test statistic falls in rejection region we reject null hypothesis

we have sufficient evidence to conclude that  there is good evidence that the cola lost sweetness.