Question

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 446 gram setting. it is believed that the machine is underfilling the bags. A 33 bag sample had a mean of 440 grams. Assume the population variance is known to be 676. Is there sufficient evidence at the 0.I level that the bags are underfilled? Step 1 of 6: State the null and alternative hypotheses

Answer 1

1) Test hypothesis are Ho: μ =446 μ < 446 Given 440 s2 -676 n 33 Given α-0. 1 Test statistic z. = 440-446 676/33 p-value P(z<-1.33)-0.0918 Since p-value <0.1 hence reject the null hypothesis

2) Test hypothesis are Hai ,1 431 Given x-427 11 n 33 Given α 0.02 Test statistic z 427-431 11/ V48 z--2.52 p-value P(z<-2.52)-0.0059 Since p-value 0.02 hence reject the null hypothesis