Question

A manufacturer of potato chips would like to know whether its bag filling machine works correctly...

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 448 gram setting. It is believed that the machine is underfilling the bags. A 22 bag sample had a mean of 440 grams with a standard deviation of 14. A level of significance of 0.01 will be used. Assume the population distribution is approximately normal. Is there sufficient evidence to support the claim that the bags are underfilled?

Homework Answers

Answer #1

Solution :

Given that,

This is a left (One) tailed test,

The null and alternative hypothesis is,  

Ho: 448

Ha: 448

The test statistics,

t = ( - )/ (s/)

= ( 440 - 448 ) / ( 14 / 22 )

= -2.680

P-value = 0.007

The p-value is p = 0.007 < 0.01, it is concluded that the null hypothesis is rejected.

There sufficient evidence to support the claim that the bags are underfilled.

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