Question

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 442.0 gram setting. it is believed that the machine is underfilling the bags. a 42 bag sample had a mean of 441.0 grams. a level of significance of 0.05 will be used. is there sufficient evidence to support the claim that the bags are underfilled? assume the standard deviation is known to be 25.0.

What is the conclusion?

There is or is not sufficient evidence to support the claim that the bags are underfilled

Answer 1

testing whether the machine is underfilling the bags.

test statistic

p-value = NORMSDIST(-0.26)...............[NORSMDIST(z) is excel function, used to find p value]

p-value = 0.3974 > significance level of 0.05

So, failing to reject the null hypothesis

Conclusion:- There is not sufficient evidence to support the claim that the bags are underfilled