A theory predicts that the average diameter of spiral galaxies (like the Milky Way) is 50,000 light years. A
research group selected a SRS of 50 spiral galaxies from existing data on spiral galaxies. They calculated x =
51,600 light years. Assuming that 50,000
C. Ha: x > 51,600
D. Ha: µ > 50,000
B. x= 51,600
C. a= 0.01
D. z = 2.83
B. Ho: µ = 51,600
A. Ha:µ = 51,600
____ 3. The alternative hypothesis is:
A. Ha: µ
* 51,600
____ 4. The test statistic is:
A. z = 0.4
____ 5. The p-value is:
A. the grobability that the average diameter of a spiral galaxy is 50,000 light years.
s. the probability that the average diameter of all spiral galaxies is 51,600 light years.
c. the probability of observing a test statistic at least as extreme as calculated from the
sample, if the actual mean spiral galaxy diameter is 50,000 light years.
D. the proportion of galaxies with an average diameter of 50,000 light years.
—- 6. The p-value is:
A. 0.0046
—-
B. 2.576
D. 0.01
C. -2.33
D. 0.01
8. Based on the p-value, the “technical” conclusion is:
A. Accept Ha at a = 0.01
C. Reject Ho at a = 0.01
—-
C. 0.0023
7. The critical value for the rejection region is:
A. 2.33
—-
B. greater than 0.01
B. Do not reject Ho at a = 0.01
D. Reject Ha at~= 0.01
9. Does your analysis prove the theory to be true or false? Write Yes or No.
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