1. Using a random sample of n = 36, the sample mean is x = 2.92. Suppose that the population standard deviation is =0.18. Is the above statistical evidence sufficient to make the following claim: <3 at the 5% level of significance?
   1. Write the null hypothesis Ho and alternative hypothesis Ha.
   2. Calculate the standard error.
   3. Calculate the z score.
   4. Calculate the p value.
   5. What is the conclusion?