Test 13A, 3
Work on these sheets. Answer completely, but be concise.
Tables are attached.
Circle the letter corresponding to the best answer.
Suppose we have two SRSs from two distinct populations and the samples are independent.
measure the same variable for both samples.
Suppose both populations of the values of these variables
are Normally distributed but the means and standard deviations are unknown.
For purposes of
comparing the two means, we use
(b) Matched pairs
(d) The least-squares regression line
(e) None of the above.
The answer is
We wish to test if a new feed increases the mean weight gain compared to an old feed. At the
conclusion of the experiment it was found that the new feed gave a 10 kg bigger gain than the old
feed. A two-sample
test with the proper one-sided alternative was done and the resulting
was 0.082. This means that
(a) there is an 8.2% chance the null hypothesis is true.
(b) there was only an 8.2% chance of observing an increase greater than 10 kg (assuming the null
hypothesis was true).
(c) there was only an 8.2% chance of observing an increase greater than 10 kg (assuming the null
hypothesis was false).
(d) there is an 8.2% chance the alternative hypothesis is true.
(e) there is only an 8.2% chance of getting a 10 kg increase.