A food Processor wants to compare two preservatives for their effects on retarding spoilage. Suppose 16cuts of fresh meat are tread with preservatives A and 16 are treated with preservative B, and the number of hours until spoilage begins is recorded for each of the 32 cuts of meat. The result asa summarized as
Sample mean of Preservative A =108.7 hours
Sample mean of Preservative B =98.7 hour
Sample Standerd Deviation A=10.5 hours
Sample Standerd Deviation B=13.6 hour
a) State the null and alternative hypotheses to determine if the average number of hours until spoilage begins differs for the preservatives A and B?
b) Analyse sample variances in order to find which test would likely be most appropriate to employ to test the equality of the population means, pooled or unpooled?
c) Calculate the pooled variance and the value of the test statistic.
d) Determine the rejection at a=0.05 and write the proper conclusion about hypothesis testing.