My Mother Is One of Those Crazy Cat People Who

Essay

My mother is one of those crazy cat people who has 20 cats. She thinks because she loves them so much they are healthier than most cats. I want to know whether this is true. Suppose that in the population of cats, the average "health index" score is 10. The average "health index" score for my mom's cats is 11, with a standard deviation of 2. (For the purposes of this question, pretend that my mom's cats represent a random sample taken from the larger population.)
a. State the null and alternative hypotheses
b. Chose an alpha level.
c. Decide whether you are doing a 1-tailed or 2-tailed test (explain why)
d. State your degrees of freedom.
e. Find and report your critical value for t.
f. Compute your observed t value.
g. Decide whether to reject or fail to reject H_o
h. What does that mean, exactly, to say that this result is statistically significant?
i. Calculate and report a 95% confidence interval for the mean and wrap words around it.