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In: Statistics and Probability

The mean output of a certain type of amplifier is 204 watts with a variance of...

The mean output of a certain type of amplifier is 204 watts with a variance of 100.

If 53 amplifiers are sampled, what is the probability that the mean of the sample would be less than 207.9 watts? Round your answer to four decimal places.

Solutions

Expert Solution

Solution :

mean = = 204

standard deviation = = 100 = 10

n = 53

= = 204  

= / n = 10 / 53 = 1.3736

P( < 207.9 ) = P(( - ) / < (207.9 -204) /1.3736 )

= P(z < 2.84 )

= 0.9977

probability = 0.9977

orchestra answered 2 years ago
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