Consider the null hypothesis Ho: The man is innocent of crime. Ha: The man is guilty of crime.

What is the Type I error? (2.5 pts) What is the Type II error? (2.5 pts)

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?

Write the null hypothesis Ho and alternative hypothesis Ha. (2.5 pts) Calculate the standard error. (2.5 pts) Calculate the z score. (2.5 pts) Calculate the p value. (2.5 pts) What is the conclusion? (2 pts)

Using a random sample of n = 50, the sample mean is x = 297.6. Suppose that the population standard deviation is =12.

Is the above statistical evidence sufficient to make the following claim:

>295 right tail, one tail at the 1% level of significance?

Write the null hypothesis Ho and alternative hypothesis Ha. (2.5 pts) Calculate the standard error. (2.5 pts) Calculate the z score. (2.5 pts) Calculate the p value. (2.5 pts) What is the conclusion? (2 pts)