Question
In: Statistics and Probability
Mean typing speed is 90 wpm, with a standard deviation of 18 wpm. Find the probability...
Mean typing speed is 90 wpm, with a standard deviation of 18 wpm. Find the probability of a randomly selected sample of n = 49 typists has a mean speed of less than 85 wpm. Round your result to 4 decimal places.
Solutions
Expert Solution
Solution :
Given that ,
mean = 
= 90
standard deviation = 
= 18
n = 49
=
= /
n = 18 /
49=2.5714
P(
<85 ) = P[(
-
) /
< (85 -90) /2.5714 ]
= P(z <-1.94 )
Using z table
= 0.0262
probability=0.0262
probability=
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