2. A group of 29 rabbits was fed an ultra-highprotein diet from their youth to full maturity. After the rabbits were fully grown, scientists wanted to know if the special diet led to an extraordinary amount of weight gain. The 29 rabbits had, on average, gained 6.7 pounds. In general, rabbits tend to grow by roughly 5 pounds from youth to full maturity, with a standard deviation of 7.1 pounds. Did the weight gain in the 29 rabbits suggest that the ultra-high-protein diet would lead to an exceptionally high amount of weight gain in the population of rabbits?

a. In symbols, what is the null hypothesis for this test?

b. In words, what is the null hypothesis for this test?

c. In symbols, what is the alternative hypothesis for this test?

d. In words, what is the alternative hypothesis for this test?

e. Is this a one-sided or two-sided test? How do you know?

f. Will you use a z-test or a t-test in this situation? Why?

g. What is the critical value of the test statistic?

h. What is the value of the test statistic calculated from the sample results?

i. What decision about the null hypothesis does your test lead to? What does this decision mean in practical terms (i.e. excluding statistical jargon)?