1. Raul received a score of 77 on a history test for which the class mean was 70 with a standard deviation of 4. He received a score of 80 on a biology test for which the class mean was 70 with standard deviation 3. On which test did he do better relative to the rest of the class? i. biology test

ii.history test

iii. the same

2. Categorize these measurements associated with student life according to level: nominal, ordinal, interval, or ratio.(a)Length of time to finish an exam ( nominal, ordinal, interval, ratio) (b)Time of first class ( nominal, ordinal, interval, ratio) (c)Major field of study (nominal, ordinal, interval, ratio) (d)Course evaluation scale: poor, acceptable, good( nominal, ordinal, interval, ratio) (e)Score on last exam (based on 100 possible points) (nominal, ordinal, interval, ratio) (f)Age of student (nominal, ordinal, interval, ratio)

3. Sociologists say that 90% of married women claim that their husband's mother is the biggest bone of contention in their marriages (sex and money are lower-rated areas of contention). Suppose that twelve married women are having coffee together one morning. Find the following probabilities. (For each answer, enter a number. Round your answers to three decimal places.)

(a)All of them dislike their mother-in-law. (b)None of them dislike their mother-in-law. (c)At least ten of them dislike their mother-in-law. (d)No more than nine of them dislike their mother-in-law.

4. The following question involves a standard deck of 52 playing cards. In such a deck of cards there are four suits of 13 cards each. The four suits are: hearts, diamonds, clubs, and spades. The 26 cards included in hearts and diamonds are red. The 26 cards included in clubs and spades are black. The 13 cards in each suit are: 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, and Ace. This means there are four Aces, four Kings, four Queens, four 10s, etc., down to four 2s in each deck. You draw two cards from a standard deck of 52 cards without replacing the first one before drawing the second.

(a)Are the outcomes on the two cards independent? Why?

i. No. The events cannot occur together.

ii. Yes. The probability of drawing a specific second card is the same regardless of the identity of the first drawn card.

iii. Yes. The events can occur together.

iv. No. The probability of drawing a specific second card depends on the identity of the first card.

(b)Find P(ace on 1st card and jack on 2nd). (Enter your answer as a fraction.) (c)Find P(jack on 1st card and ace on 2nd). (Enter your answer as a fraction.) (d)Find the probability of drawing an ace and a jack in either order. (Enter your answer as a fraction.)