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Chapter 2: Q 53. (page 140)

Potato chips Refer to Exercise 47 About what percent of 9-ounce bags of

this brand of potato chips weigh less than the advertised 9 ounces? Is this likely to pose a problem for the company that produces these chips?

Short Answer

Expert verified

Around 0.82 percent of this brand's 9 ounce bags of potato chips are less than the advertised 9 ounces. For the firm that makes these chips, it is unlikely to be a problem.

Step by step solution

01

Given information

Bag weighs, x=9

Mean, 渭=9.12

Standard deviation, 蟽=0.05

02

Concept

The formula used: z=x鈭�渭蟽

03

Calculation

Calculate the z鈭�score,

z=x鈭�渭蟽=9鈭�9.12/0.05=鈭�2.40

Use the normal probability table in the appendix to get the corresponding probability.

The usual normal probability table for P(z<鈭�2.40)has a row that starts with -2.4and a column that starts with.00

P(x<9)=P(z<鈭�2.40)=0.0082=0.82%

As a result, approximately 0.82percent of this brand's 9-ounce bags of potato chips weigh less than the advertised 9ounces. This signifies the occurrence of an exceptional event because the probability is less than 0.05(or 5%). (or impossible event). As a result, the company that makes these chips is unlikely to face any difficulties.

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