Question

In: Statistics and Probability

Consider a population of 300 with a mean of 55 and a standard deviation equal to...

Consider a population of 300 with a mean of 55 and a standard deviation equal to 22.

What is the probability of obtaining a sample mean of 57 or less from a sample of 35?

Expert Solution

Solution :

Given that ,

mean = = 55

standard deviation = = 22

n = 35

= 55

= / n = 22/ 35=3.72

P( <57 ) = P[( - ) / < (57-55) /3.72 ]

= P(z <0.54 )

Using z table

= 0.7054

orchestra answered 2 years ago

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