The data below represents the three year rate of return in p

The data below represents the three year rate of return (in percent) for a simple random sample of 40 small capitalization growth mutual funds.

27.4, 16.7, 10.8, 24.1, 35.9, 12.7, 28.5, 22.2, 18.4, 17.4, 22.6, 29.6, 11.6, 45.9, 16.6, 32.1, 47.7, 10.9, 18.4, 23.3, 18.2, 32.0, 25.5, 23.7, 38.1, 23.7, 14.7, 12.8, 31.1, 21.9, 18.4, 21.3, 27.0, 19.6, 15.8, 14.7, 37.0, 19.2, 18.5, 29.1

6. What is the z-score that corresponds to the mean?

a) 0 b) -2 c) 1 d) -1 e) 2

For questions 7, 8, 9, 10 consider the following situation. A standard deck of cards contains 52 cards. There are 4 suits in the deck: 13 hearts (red), 13 diamonds (red), 13 clubs (black) and 13 spades (black) Each card in each suit is numbered from 1 (A) to 13 (K). What is the probability of selecting:

7. A read card or a \"7\" ?

a) 0.5769 b) 0.5 c) 0.0384 d) 0.5384 e) 0.1258

8. A red card or a black card?

a) 1 b) 0 c) 0.75 d) 0.25 e) 0.5

9. A \"10\" and then a \"5\" without replacement?

a) 0.00603 b) 0.00591 c) 0.2531 d) 0.1256 e) 0.1547

10. Not a \"6\"?

a) 0 b) 0.076 c) 0.923 d) 0.641 e) 0.954

Solution

6)

As

z = (x - u) / s

The z score that corresponds to x = u is thus

z = (u - u) / s

z = 0 [ANSWER, OPTION A]

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7)

There are 26 red cards, 4 7\'s, and 2 reds that are 7\'s.

Thus, there are 26 + 4 - 2 = 28 who satisfy the description.

Thus,

P(red or 7) = 28/52 = 0.5384 [OPTION D]

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8)

All cards are either red or black. Thus, this is a sure event,

P(red or black) = 1 [OPTION A]

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