A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 435.0 gram setting. It is believed that the machine is underfilling the bags. A 36 bag sample had a mean of 430.0 grams. A level of significance of 0.01will be used. Determine the decision rule. Assume the standard deviation is known to be 14.0 . Enter the decision rule.
Answer)
Null hypothesis Ho : u = 435
Alternate hypothesis Ha : u < 435
As the population s.d is mentioned in the question we can use standard normal z table to estimate the decision rule
Given alpha = 0.01
From z table, P(z<-2.33) = 0.01
So, the decision rule is that
Reject the null hypothesis if test statistics is less than -2.33
A manufacturer of potato chips would like to know whether its bag filling machine works correctly...