Question

Please provide this answer in excel format.  

Given an infinite population with a mean of 75 and a standard deviation of 12, the probability that the mean of a sample of 36 observations, taken at random from this population, is less than 78 is:

Answer 1

Given that,

mean = = 75

standard deviation = =12

n = 36

= 75

₌ / n = 12 36 = 2

P (   < 78 )

P ( - /) < (78- 75 / 2 )

P ( z < 3 / 2 )

P ( z < 1.5 )

Using z table

= 0.9332

Probability = 0.9332