Calculating and Interpreting z-Scores Answers

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22
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Two black chips and three red chips are put into a bag. Two points are awarded for each black chip drawn, and one point is lost for each red chip drawn. What is the expected value for each round if there are two draws per round and the chips are replaced after each draw?

A
–0.08
B
–0.04
C
0.2
D
0.4
23
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Two students devised a game called “3 Pennies & 2 Nickels.” Each player will choose to play the pennies or the nickels. In each round, the players will flip all their coins on the table and record how many heads and tails they have. The table below includes the point scheme.Point Values for “3 Pennies & 2 Nickels”Penny PointsNickel PointsAll pennies heads: –2Both nickels heads: –2At least one of each: +3One of each: +5All pennies tails: –2Both nickels tails: –2Alyssa wants to play the game. Choose the statement below that is correct in all aspects.

A
E(penny) = –0.33 and E(nickel) = 0.33, so she should play with the nickels.
B
E(penny) = 0.5 and E(nickel) = 1.5, so she should play with the nickels.
C
E(penny) = 1.75 and E(nickel) = 1.5, so she should play with the pennies.
D
E(penny) = 2.38 and E(nickel) = 2, so she should play with the pennies.
24

Hugo polled 100 randomly selected people to see if they had exercised that week and found that 85% said they had. Lily asked 400 randomly selected people the same question and found that 85% of them also responded that they had exercised that week.

A
Hugo’s margin of error will be exactly 2 times as large as Lily’s margin of error.
B
Lily’s margin of error will be exactly 2 times as large as Hugo’s margin of error.
C
Hugo’s margin of error will be exactly 4 times as large as Lily’s margin of error.
D
Lily’s margin of error will be exactly 4 times as large as Hugo’s margin of error.
25

Sameer polled a random selection of 120 of the 250 workers at his office to determine whether they were satisfied with their office supply ordering process. The survey showed that 90 of the workers polled were satisfied.

A
7%
B
10%
C
12%
D
18%

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