Question

A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 430 gram setting. It is believed that the machine is underfilling the bags. A 17 bag sample had a mean of 423 grams with a variance of 676. A level of significance of 0.01 will be used. Assume the population distribution is approximately normal. State the null and alternative hypotheses

Answer 1

`H_o:\mu\geq 430\\\\H_a:\mu<430`

Explanation:

-let
`\mu` denote the population mean in grams.

-The claim under investigation is that the machine is underfilling the bags.

-The investigator intends to determine whether or not the population mean is less than 430 grams.

#The stated hypotheses are:

The null hypothesis(mean gram of the bags is greater or equal to 430g):

`H_o:\mu\geq 430\\\\`

-Alternative hypothesis is the population mean is less than 430g:

`H_a:\mu<430`