A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 431 gram setting. It is believed that the machine is underfilling the bags. A 23 bag sample had a mean of 430 grams with a standard deviation of 24. A level of significance of 0.025 will be used. Assume the population distribution is approximately normal. State the null and alternative hypotheses.

Question

05-07-2019
Mathematics

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A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 431 gram setting. It is believed that the machine is underfilling the bags. A 23 bag sample had a mean of 430 grams with a standard deviation of 24. A level of significance of 0.025 will be used. Assume the population distribution is approximately normal. State the null and alternative hypotheses.

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JeanaShupp JeanaShupp · Answer 1 · 2019-07-11T06:45:44+02:00

Answer: [tex]H_0:\mu\geq431\\\\H_a:\mu<431[/tex]

Step-by-step explanation:

Given : A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 431 gram setting. t is believed that the machine is underfilling the bags.

Claim : [tex]\mu<431[/tex]

We know that the null hypothesis always have equals sign , then the required set of hypothesis for the situation :-

[tex]H_0:\mu\geq431\\\\H_a:\mu<431[/tex]