# Examples of z-score calculations for statistics students

1. The weight of cans of fruit is normally distributed with a mean of 1,000 grams and a standard deviation of 50 grams. What percent of the cans weigh 860 grams or less?

a) 0.0100

b) 0.8400

c) 0.0026

d) 0.0001

2). The mean amount spent by a family of four on food per month is $500 with a standard deviation of $75. Assuming that the food costs are normally distributed, what is the probability that a family spends less than $410 per month?

A) 0.2158

B) 0.8750

C) 0.0362

D) 0.1151

https://brainmass.com/statistics/z-test/examples-score-calculations-statistics-students-469380

#### Solution Preview

Hi,

1. Need to find the z score for this data.

z = 860 - 1000/50

z = -2.80

Need to look at the area to the left of this value. ...

#### Solution Summary

Complete worked through solutions for two statistics problems. Includes a reference for the required statistical table needed to complete the problems.