Answer:The probability that the sample mean of the sampled students is less than 56 minutes is 0.0038
Step-by-step explanation:
According to the central limit theorem, Sampling distribution of the amount of time that it takes to complete a statistic exam is distributed normally with the same mean as the population where the all samples chosen from.
To find the probability that the sample mean of the sampled students is less than 56 minutes we need to calculate the z-score, and check its corresponding probability P(x<56) from z-table.
Z-score can be calculated as follows:
[tex]\frac{X-M}{\frac{s}{\sqrt{N} } }[/tex] where
We get z= -2.67 and then P(x<56) = P(z<-2.67) = 0.0038
