Question

A sample​ mean, sample​ size, and population standard deviation are provided below. Use the​ one-mean z-test to perform the required hypothesis test at the 1​% significance level. x bar =26, n=36, σ=88​, H0​: mu=3, μ=31​, Ha​: mu < 31

Find test statistic Z?

Answer 1

left tailed test .  

The null and alternative hypothesis is ,

H0 :   = 31

Ha : <31

Test statistic = z

= ( - ) / / n

= (26-31) / 88/ 36

= -0.34

P(z > ) = 1 - P(z < ) =

P-value =

= 0.05  

P-value <