Suppose that we will randomly select a sample of 106 measurements from a population having a mean equal to 19 and a standard deviation equal to 7. Calculate the probability that we will obtain a sample mean less than 18.450; that is, calculate P( x < 18.450).

And if we use the normal standard distribution or excel we got:

Step-by-step explanation:

For this case we have the following info given:

represent the mean

represent the standard deviation

represent the sample size

The distribution for the sample size if we use the central limit theorem (n>30) is given by:

And for this case we want to find the following probability:

And for this case we can use the z score formula given by:

And replacing we got:

And if we use the normal standard distribution or excel we got:

i found two solutions,   n = 2 • ± √3 = ± 3.4641

step-by-step explanation: