3. A random sample of wolf dens in the southwestern United States is taken. The number of pups found are: 5 8 7 5 3 4 3 9 5 8 5 6 5 6 4 7 a. Find a 90% confidence interval for the population mean number of wolf pups per den. Include the sample statistics( n, x-bar, s), degrees of freedom, t2 , standard error and a sentence. b. What sample size is needed for the margin of error to be 0.3?

4. National statistics show that the average middle school student spends 8.694 hours per week playing video games. A random sample of 12 middle school students reveals the following times in hours each student spent playing video games. 4.50 9.75 9.50 8.25 5.00 14.50 11.00 4.00 8.25 11.25 11.75 15.50 Has the national average changed? State the hypotheses, check conditions, compute test statistics from the sample( n, x-bar, s), standardize and give degrees of freedom. Include a p-value sketch, state the p-value followed by your conclusion and a sentence.