Question

Find the point estimate for the true difference between the given population means.

Weights (in Grams) of Soap Bar A: 121, 122, 124, 123, 120, 124, 121, 121, 121, 123, 120
Weights (in Grams) of Soap Bar B: 121, 120, 122, 119, 121, 122, 122, 120, 120, 121, 122, 123, 119

Answer 1

0.9 grams

Explanation:

The point estimate for the average weight of Soap Bar A is:

`A=(121+122+124+ 123+ 120+ 124+ 121+ 121+ 121+ 123+ 120)/(11)\\A=121.82\ grams`

The point estimate for the average weight of Soap Bar B is:

`B=(121+120+122+ 119+ 121+ 122+ 122+ 120+ 120 +121+ 122+123+119)/(13)\\B=120.92\ grams`

Therefore, the point estimate for the true difference between the given population means is:

`Dif = A-B\\Dif = 121.82-120.92\\Dif=0.9\ grams`

The point estimate for the difference is 0.9 grams.