Kindly help me solve the following questions.

Question 3

To estimate the population mean weight of out-going packages, a shipping company randomly samples 70 packages and finds a mean weight of 52 pounds. The population standard deviation is known to be 10.1 pounds.

Construct the 88% confidence interval and state the lower bound ___________________ and upper bound ___________________ , each rounded to the nearest thousandths place.

Interpret your CI in context ___________________.

Question 4

A landscape engineer claims that the average area of a pond is at most 150 sqft. To test this claim 30 randomly selected ponds show a mean of 151.7 sqft. The population standard deviation is known to be 6.8 sqft. Use the pvalue method to test the claim at the 7% significance level.

a. State Ho and Ha ___________________

b. Determine Critical Value and identify the rejection region ___________________

c. State the test menu and determine Test Statistic ___________________

d. Determine the p-value ___________________

e. State the conclusion, explain why, and interpret in context ___________________

A Markov chain with state space S = {0, +1, +2, 13, .. } and transition probabilities specified by Pi,i+1 = p, Pli-1 = 1 - p, where 0 0, then the random walk is nonstationary in the variance