Question

the population mean and standard deviation are given below. find the required probability and determine

Test: Chapter 5 TEST 03:00:00 This Test: 21 pts possible The population mean and standard deviation are given below Find the required probability and oemine whether the given sample mean would be considered unusual For a sample of n 60,nd the probability of a sample mean being less than 23.6fp -24 and 1.16 l Cick the ioon to view page 1 of the standard normal table. Cick the loon to view page 2 of the standard normal table. For a sample of n 60, the probablity of a sample mean being less than 230 (Round to four decimal places as needed) 24 and 1.10 The lte considered unusual because it has a potabitygasł 1 than 5%.

Answer 1

a)
sd(Xbar) = sd(X) /sqrt(n)
= 1.16/ sqrt(60) = 0.14975535605

Z = (Xbar - mean)/sd

P(Xbar < 23.6)
=P (Z<−2.67)
=0.0038

b)
this is unusual
since probability is less than 0.05