A panel of consumers was asked to rate "Natural Vitaglo" breakfast cereal before and after a change in manufacturing techniques.A higher number reflects a higher preference for the cereal.The results are given in the following table.

Rater Old Process New Process

A 6 10

B 7 9

C 7 8

D 8 10

E 5 6

F 9 10

G 10 9

H 4 5

I 6 8

J 3 4

a.State the nondirectional alternative hypothesis.

b.State the null hypothesis.

c.What do you conclude usinga= 0.05 2-tail?

d.What type of error might you be making?

e.What would your conclusion be ifa= 0.01 2 tailhad been specified?

f.Why did the investigator use a 2-tailed test?