1. According to Abyss Consulting, the average age of viewers of "America's Got Talent" is 25 years old. However, the producer of the show thinks it is higher than 25.

A. Write the null hypothesis Ho and alternative hypothesis Ha.

B. Is this a right-tailed, left-tailed, or two-tailed test?

2. A research analyst believes that average back-to-school spending is less than a trade group's prediction of $606.

A. Write the null hypothesis Ho and alternative hypothesis Ha.

B. Is this a right-tailed, left-tailed, or two-tailed test?

3. 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?

A. Write the null hypothesis Ho and alternative hypothesis Ha.

B. Calculate the standard error.

C. Calculate the z score

D. Calculate the p value

E. What is the conclusion?