Question

A population has a mean of 98.1 and a standard deviation of 27.4. Assuming , the probability, rounded to four decimal places, that the sample mean of a sample of size 77 elements selected from this population will be between 91 and 97 is:

Answer 1

Solution won that el=98.1 o = 27.4. n=77 we need to find the - Pla15 x 597) let's Standardize or all X-l 97-4 olm Soha =) ol 91-98.1 27.41 - < ZS 97-98.1 279.GA 77 27.4100 27.4 IV 2 Pl -2.274 < 25 -0.352 ) -) P(25-0.352) - P(25 -2.274) } pacas zsb) VI I = Plzsb) - Plzsa Plzs-0.352) = 0.3624 5) PC25-2:274) 2 0.0115 0.3624 -0.0115 3 0.3509 - 0) 2) Scanned with CamScanner