Please provide correct answers

Example 1.) Develop a 3 month moving average for this time series. Compute the MSE and a forecase for week & Month Value Moving Average Error Error Squared 24 13 20 12 19 49 19 15 16 23 17 36 15 18 3 9 Month 8 Forecast: 19 MSE 27.5 Use a= 0.2 to compute the exponential smoothing values for the time series. Compute the MSE and a foreast for week &.. Month Value Exp. Smoothing Error Error Squared 24 13 24 11 121 20 21.8 1.8 3.24 4 12 21.44 9.4 89.1136 5 19 19.552 0.55 0.304704 23 19.4416 3.56 12.66221056 15 20.15328 5.15 26.55629476 Month & Forecast: 19.122624 MSE 42.14613489 3.) In your own words: Using the MSE for the two models, which appears to have the better forecast? Since the MSE for the 3 Month moving average was smaller, the 3 month moving average method gave the better forecast.You may need to use the appropriate appendix table or technology to answer this question. Are Southern and Western states equally prone to fatal lightning strikes? Suppose the number of lightning strike fatalities over a 5-year period for Southern and Western states are shown as follows. Southern State Fatalities Western State Fatalities AL 5 AZ 6 AR 1 CA 1 FL 19 ID 2 GA 9 MT 2 5 2 LA 5 NV 0 MS 3 OR 2 NC 4 UT 4 OK 2 WA SC 3 WY 3 TN 0 TX 7 VA 0 Use a = 0.05 and test to determine whether the distribution of lightning fatalities is the same for these two regions. State the null and alternative hypotheses. O Ho: The two populations of lightning fatalities are identical. Ha: The two populations of lightning fatalities are not identical. O Ho: Median number of lightning fatalities for Southern states - Median number of lightning fatalities for Western states 2 0 Ha: Median number of lightning fatalities for Southern states - Median number of lightning fatalities for Western states 0 O Ho: Median number of lightning fatalities for Southern states - Median number of lightning fatalities for Western states > 0 He: Median number of lightning fatalities for Southern states - Median number of lightning fatalities for Western states = 0 O Ho: The two populations of lightning fatalities are not identical. He: The two populations of lightning fatalities are identical. Find the value of the test statistic. W = Find the p-value. (Round your answer to four decimal places.) p-value = What is your conclusion? o Do not reject Ho. There is sufficient evidence to conclude that the distribution of lightning fatalities is different for these two regions. o Reject Ho- There is not sufficient evidence to conclude that the distribution of lightning fatalities is different for these two regions. O Reject Ho. There is sufficient evidence to conclude that the distribution of lightning fatalities is different for these two regions. o Do not reject Ho. There is not sufficient evidence to conclude that the distribution of lightning fatalities is different for these two regions.Likelihood Ratio Test for Shifted Exponential I 2 point; possible (graded! While we cannot formally take the log of zeror it makes sense to dene the loglikelihood of a shifted exponential to be F! a\" (a, a) = (n In 1 A 2 (X.- :2 mm, + (oo} Imam. .=1 Keep in mind that the likelihood is zero when min, (Xi)