Question

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 444 gram setting. It is believed that the machine is underfilling the bags. A 9 bag sample had a mean of 441 grams with a standard deviation of 25 . A level of significance of 0.025 will be used. Assume the population distribution is approximately normal. State the null and alternative hypotheses.

H_{0 =}

H_{a =}

Answer 1

solution:

This is the two tailed test .

The null and alternative hypothesis is ,

H₀ :  $\mu$ = 444

H_a : $\mu$    $\neq$ 444