A baby-food producer claims that her product is superior to that of her leading competitor, in that babies gain weight faster with her product. As an experiment, 10 healthy newborn infants are randomly selected. For two months, five of the babies are fed the producer's product and the other five are fed competitor's product. Each baby's weight gain (in grams) is shown in the table.

Producer's product	Competitor's product
900	720
1080	900
840	870
1110	870
1200	810

Can we conclude that the average weight gain for babies fed on the producer's baby food is greater than the average weight gain for babies fed on the competitor's food.

Assume that the populations are normally distributed. Assume ₁² ₂².

Using Excel test the hypothesis at the 5% significance level for t-value and p-value decision rule.

all six hypothesis steps