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Ch. 6.1 #7-49 odd

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c) 1%<br />

For total area = 0.01, there will be area = 0.005 in each tail. The z scores are z= 2.58.<br />

Section 6-2 # 1, 2, 9, 11, 15, 21, 22, 23, 26, 28, 30<br />

1. Admission <strong>Ch</strong>arges for Movies The average admission charge for a movie is $5.81. If the<br />

distribution of movie admission charges is approximately normal with a standard deviation of $0.81, what<br />

is the probability that a randomly selected admission charge is less than $3.50?<br />

X <br />

$3.50 $5.81<br />

z 2.85<br />

$0.81<br />

then look up z = -2.85 in Table E and you get that the area = 0.0022 or 0.22%<br />

Pz ( 2.85) 0.0022 or 0.22%<br />

-2.85 0<br />

2. Teachers’ Salaries The average annual salary for all U.S. teachers is $47,750. Assume that the<br />

distribution is normal and the standard deviation is $5680. Find the probability that a randomly selected<br />

teacher earns<br />

a. Between $35,000 and $45,000 a year<br />

X <br />

35,000 47,750<br />

z 2.24<br />

5680<br />

45,000 47,750<br />

z <br />

0.48<br />

5680<br />

P( 2.24 z 0.62) 0.3156 0.0125 0.3031 or 30.31%

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