Question

Boxes of chocolates are marked as 500 g. The weights of boxes are known to be normally distributed with mean of 508 g and standard deviation of 5 g. Boxes weighing more than 520 g produce no profit and have to be repacked. Find the z value for the box of chocolate marked as 500 g.

Answer 1

To find the z value for the box of chocolates marked as 500 g, we need to calculate the z-score using the given mean and standard deviation.

The z-score is a measure of how many standard deviations an observation is away from the mean. It can be calculated using the formula:

z = (x - μ) / σ

Where:

x is the observed value (in this case, 500 g)

μ is the mean (508 g)

σ is the standard deviation (5 g)

Plugging in the values:

z = (500 - 508) / 5

z = -8 / 5

z = -1.6

Therefore, the z value for the box of chocolates marked as 500 g is -1.6.