Question

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.

Answer 1

Answer:
`H_0:\mu\geq431\\\\H_a:\mu<431`

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 :
`\mu<431`

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

`H_0:\mu\geq431\\\\H_a:\mu<431`