Explain the following terms:
1. Mode, (5%)
2. Median, and (5%)
3. Mean of the random variable. (5%)
The probability that a married man watches the TV show “Friends” is 40% and
the probability that a married woman watches the show is 50%. The
probability that a man watches the show, given that his wife does, is 70%. Find
the probability that
4. a married couple watches the show; (5%)
5. a wife watches the show given that her husband does; (5%)
6. at least one person of a married couple will watch the show. (5%)
When testing a statistical hypothesis, explain the following terms:
7. Type I error (5%)
8. Type II error (5%)
9. The power of a test (5%)
10. P-value (5%)
Answer the following True/False questions when testing a statistical
hypothesis.
11. The Type I error and Type II error are related. A decrease in the
probability of one generally results in an increase in the probability of the
other. (5%)
12. The size of the critical region, and the probability of committing a Type I
error, can always be reduced by adjusting the critical value(s). (5%)
13. An increase in the sample size n, will increase α and β simultaneously.
(5%)
14. If the null hypothesis is false, β is a maximum when the true value of a
parameter approaches the hypothesized value. The greater the distance
between the true value and the hypothesized value, the larger β will be.
(5%)
Explain “Central Limit Theorem” and find an application of it.
Explain “Analysis of Variance for the One-way Classification” and find an
application of it.
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