Question

A population, with an unknown distribution, has a mean of 80 and a standard deviation of...

A population, with an unknown distribution, has a mean of 80 and a standard deviation of 7. For a sample of 49, the probability that the sample mean will be larger than 82 is

Group of answer choices

About .516

About 0.0228

About 0.9772

About 0.484

Math   Statistics-And-Probability   
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Answer #1

Given that ,

mean = = 80

standard deviation = = 7

n = 49

= 80

= / n =7 / 49 =1

P( >82 ) = 1 - P( <82 )

= 1 - P[( - ) / < (82 -80) /1 ]

= 1 - P(z <2 )

Using z table

= 1 - 0.9772

= 0.0228

probability= 0.0228

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