Consider the following hypothesis test H0 mu 15 H1 mu 15 A

Consider the following hypothesis test: H_0: mu = 15 H_1: mu 15 A sample of 50 provided a sample mean of 16.5. The population standard deviation is 6. Use alpha = 0.01. What is the value of the test statistic? Round your answer to four decimal places.

Solution

H₀:=15 against H₁: not =15, Z_cal=(Xbar-)/(/n)=(16.5-15)/(6/50)=1.7678.   Z_tab(.01)=2.58, so Z_cal<Z_tab, H_{0 is accepted i.e.,}H₀:=15.