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

A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 402.0 gram setting. It is believed that the machine is underfilling the bags. A 45 bag sample had a mean of 392.0 grams. A level of significance of 0.1 will be used. Is there sufficient evidence to support the claim that the bags are underfilled? Assume the standard deviation is known to be 29.0.

What is the conclusion?

a) There is not sufficient evidence to support the claim that the bags are underfilled.

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

Math   Statistics-And-Probability   
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Answer #1

since test statistic falls in rejection region we reject null hypothesis

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

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