Answer:
And we can use the z score formula given by:
And if we find the z scores for the limits of the interval we got:
And we want to find this probability:
And we can use the foolowing excel command and we got:
=NORM.DIST(0.878;0;1;TRUE)-NORM.DIST(-0.4;0;1;TRUE)
And we got:
Step-by-step explanation:
For this case we know the following parameters:
We select a sample size of n =59. So then the sample size is large enough to use the central limit theorem and the distribution for the sample mean is given by:
We want to find the following probability:
And we can use the z score formula given by:
And if we find the z scores for the limits of the interval we got:
And we want to find this probability:
And we can use the foolowing excel command and we got:
=NORM.DIST(0.878;0;1;TRUE)-NORM.DIST(-0.4;0;1;TRUE)
And we got: