There is insufficient evidence to suggest the true proportion is not .13.
Mean, H0: [pic] [pic]54, H1:[pic] [pic] 54 claim; P= .0000000014; reject
There is sufficient evidence to support the claim that on average 1.69oz bags will contain more than 54 candies.
H0: [pic] [pic]1.5, H1:[pic] [pic] 1.5 claim; [pic]= 113.145; [pic]= 83.71763, Fail to reject
There is not enough evidence at the 5% level of significance to support the claim that the standard deviation number of candies is less than 1.5.
Part 5: Method, Analysis, Results For the final portion of our project we were instructed to test the hypothesis that the population proportions of red and brown are equal.
. Hypotheses= H0:p1=p, Ha: p1≠p2; X1=578, n1=5001, p1=.1156; X2=6235, n2=5001, p2= .1250; [pic]= .1203; Z= 1.4447; [pic]= -1.96 & 1.96; z1.96 rejection region
Fail to reject the null; There is not enough evidence to reject the claim.
Quality Assurance To investigate one of the colors being off its targeted amount, I first inspect the settings on the machines to make sure that they had not been altered. If the setting on the bagging or mixing machine it will cause discrepancies in the proportions. Some of the m&ms may be spilling during the bagging process. It is also possible that the