Question

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 420 gram setting. It is believed that the machine is overfilling the bags. A 45 bag sample had a mean of 429 grams. Assume the population variance is known to be 676. Is there sufficient evidence at the 0.02 level that the bags are overfilled? Step 2 of 6: Find the value of the test statistic. Round your answer to two decimal places. E Tables Keypad

find p value as well

Answer 1

soluton Given, n:45 mean i 429 2 populabon bowance : GYG 5676 - 26 null hypothesis Hill:420 Allennatre hypothesis Miu > 420 test statistics NOW, 2-4 Z 50 42G-420 20/15 9 2,322 3.8759 2,32 Z: 2.32

NOW, Puake - P(Z > 2.322) 2-P[222.322) -0.9899 0,0101 pvalve: 0.0101 Pralue = x 0.0101 0.02 fail to rejecd Ho