Module #5 Assignment

 1.

A. H0= There is no evidence to suggest a statistically significant difference in the weight of cookies being manufactured compared to their specifications

     H1= There is evidence to suggest a statistically significant difference in the weight of the cookies being manufactured compared to their specifications

B. There is not evidence to suggest that the machine is not meeting the specifications.

C. A hypothesis test confirms this, as demonstrated below through the use of R. When compared using an alpha value of 0.05, the p-value (0.1870131) presents the conclusion that there is no statistical evidence to imply a fault in the machines consistency. 

D. Had the standard deviation been 1.75 rather than 3.2, the result would be different. Instead of receiving a p-value significantly above the 0.05 alpha value, the p-value would be 0.05368654, or 0.053 when truncated to 3 significant figures. This number falls slightly outside of the alpha range, implying that the null hypothesis must be accepted, however there exists some flexibility when considered the variance and room for error (+|-).

E. Had the conditions for the test been using a mean of 69 and an sdx of 3.5 pounds, the results would be more explicitly in support of the null hypothesis. The increase in variance from the standard deviation does not do much to enhance the statistical evidence in support of the alternative hypothesis. Under these circumstances, the p-value would instead be 0.2091732 (or 0.209 to 3sf), placing the alpha value significantly out of range. 

2. The z-value is 84.05

3.