In: Statistics and Probability
Fries weighing 480g and a standard deviation of 20g are packed in a factory. A complaint suggests that the bags of these fries weigh less than 480g, so we took a sample of 100 bags that turned out to have an average of 477g. Test the null hypothesis H0> = 480 against the alternating HA <480 with a significance level α = 0.1. Calculate Zc and Z. It fails to reject the null hypothesis?
Solution-
population standard deviation is known and sample size > 30 so z test is calculated.
Z = -1.5
Zc = -1.28
◆ test calculation-
Test results that the null hypothesis is rejected.
so, there is enough evidence to support the claim that the bags of these fries weight less than 480g.