A sample of 31 observations is selected from a normal population. The sample mean is 11, and the population standard deviation is 3. Conduct the following test of hypothesis using the 0.05 significance level. H0: μ ≤ 10 H1: μ > 10 Is this a one- or two-tailed test?

The  test is a two -tailed test

Step-by-step explanation:

From the question we are told that

    The  sample size is n  =  31

     The  sample mean is  

      The sample standard deviation is  

       The null hypothesis is  

         The  alternative hypothesis is    

         The level of significance is

The test  statistics is mathematically represented as

substituting values

The  p- value is mathematically represented as

Looking at the value of   we see that hence we reject the null hypothesis

Given the that the p value is less than 0.05 it mean the this is a two-tailed test

9 x 8 divided by (5-3)=36