In: Statistics and Probability
A dog food manufacturer is using a new process to make his dog
food. He believes the new process affects the taste of
the food. To test the new process, the company recruited
9 dogs. The dogs were given the original food and the time required
to eat a standard portion of the food was measured. Two days later
the same dogs were fed the same quantity of the new formula and the
time was measured again. Eating faster is assumed to mean the taste
was better. Eating slower means the taste was worse The
times are below. Test the hypothesis that the new process affects
the taste of the dog food using an alpha level of .05.
Old Process |
New Process |
115 |
118 |
120 |
120 |
140 |
120 |
137 |
131 |
150 |
142 |
124 |
125 |
132 |
121 |
119 |
117 |
160 |
135 |
MAKE SURE TO ANSWER ALL OF THE QUESTIONS. SHOW YOUR WORK WHERE POSSIBLE.
a) What is the appropriate test?
b) State the null hypothesis (in words and with means).
c) State the alternative hypothesis (in words and with means).
d) Find the critical value(s) (explain how you found it).
e) Calculate the obtained statistic (show all of your work).
f) Report the results in proper format. Make a decision.