Question

The weights of a pack of chewing gum for a certain brand have a mean of 47.1 grams and a standard deviation of 2.4 grams. What is the weight of a randomly selected pack of gum that has a z-score of 3.11? 39.6 grams 44.7 grams 49.5 grams 54.6 grams

Answer 1

To find the weight of a randomly selected pack of gum with a z-score of 3.11, you can use the formula for calculating values from z-scores:

Weight = Mean + (Z-Score × Standard Deviation)

Weight = 47.1 grams + (3.11 × 2.4 grams)

Weight ≈ 47.1 grams + 7.464 grams

Weight ≈ 54.564 grams

So, the weight of the randomly selected pack of gum with a z-score of 3.11 is approximately 54.6 grams.