Question

7. Let us assume that what we want is to know whether the wines of the designation of origin have the same alcoholic content, as well as their variability in the same, as those of another designation of origin, for example Baja California. It is a question of whether there is a clear differentiation in these two regions, because of the geographical proximity of the two regions, it is possible that there will be fraud and that wines from both regions will be exchanged depending on the market. 2 samples are taken from different wines:

Sto. Tomas 12,8 12,8 12,5 11,9 12,5 12,1

Valle de Guadalupe 13,0 14,0 13,2 13,4 13,2 13,9

a) Build a confidence interval for the average alcohol content of Sto. Tomas wine.

b) Assuming a level of significance of 5 % Is it possible to assume that in wine 2 it has a higher alcohol content?

Answer 1

First We will find the sample mean and standard deviation

a)

b)