Question

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 405 gram setting. It is believed that the machine is underfilling the bags. A 42 bag sample had a mean of 398 grams. Assume the population variance is known to be 841. A level of significance of 0.05 will be used. Find the P-value of the test statistic. You may write the P-value as a range using interval notation, or as a decimal value rounded to four decimal places.

Answer 1

from above 0.05 < p value < 0.10

as p value is greater than 0.05 level we reject null hypothesis and conclude that  the machine is underfilling the bags.