Question

The distribution of actual weight of tomato soup in a 16 ounce can is thought to be bell-shaped with a mean equal to 16 ounces, and a standard deviation equal to 0.25 ounces. Based on this information, between what two values could we expect 95% of all cans to weigh?

Answer 1

Between 15.5 and 16.5 ounces

Explanation:

If the distribution is bell-shaped it follows a normal distribution.

In a normal distribution you except the 95% of the values between +-2 standard deviation from the mean.

`Limits\ for\ 95\%: \mu\ \±\ 2\sigma`

lower limit = 16 - 2 * 0.25 = 15.5

upper limit = 16 + 2 * 0.25 = 16.5