Answers to quiz from 9/11

(10 points) On any single section of the SAT, mux = 500 and sx = 100. Find the z-scores for the following raw SAT scores and use the look-up table to find what proportion of the people taking the SAT will get a score that is less than or equal to the given score. Z-scores should be rounded to two places after the decimal and the proportions from the table are written to four decimal places.

SAT score: 570
z-score = .7
proportion at that z-score or less = .7580

SAT score: 750
z-score = 2.5
proportion at that z-score or less = .9938

SAT score: 395
z-score = -1.05
proportion at that z-score or less = .1469

SAT score: 625
z-score = 1.25
proportion at that z-score or less = .8944

SAT score: 490
z-score = -0.1
proportion at that z-score or less = .4602


(6 points) For the following movie studios find the average number of theaters on the opening weekend for the movies they made that were in the top 25 grossing movies of 2009 and find the median number of theaters of those sets of films. Round the answers to the nearest tenth.


Fox
Average number of theaters 3771.5
Median number of theaters 3898
Numbers on list: 3452, 3700, 4099, 4099, 4096, 3183


Sony
Average number of theaters 3298.5
Median number of theaters 3274
Numbers on list: 3404, 3144, 3527, 3119

WB
Average number of theaters 3572
Median number of theaters 3530
Numbers on list: 4325, 3269, 3110, 3626, 3530
(1 point each)
What movie had the biggest opening weekend?
The Twilight Saga: New Moon

What month had the most opening days on the list?
May (6)

What movie on the list opened earliest in the year?
Paul Blart: Mall Cop, Jan. 16

What movie on the list opened latest in the year?
Sherlock Holmes, Dec. 25