Give the estimated regression function. Also, give the hypothesis, test statistic and the rejection region to assess whether the interactive terms contribute to r
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a) Give the estimated regression
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- Suppose that average male weight in the US is 175 pounds with a standarddeviation of 25 pounds. Suppose you randomly select 1,000 male Americans and ask their weight, and average the 1,000 numbers to compute a sample mean Xn. What is the variance of the sample mean Xn?Need help with parts (a) to (d) on this homework problem. Make sure the answers you provide are lengthy. Don't give short answers. Also, make sure your handwriting is neat and readable. Statistically speaking, the typical romantic couple spends 3 hours of qualitytime together each day, with a variance of 1.5 hours. During my teenageyears, I was under the assumption that a friend and I were a couple, but sherecently pushed back on that claim. So, I logged our time spent together over aperiod of 92 days. As it turned out, we spent 2.65 hours together on a typicalday, again with a variance of 1.5 hours. Assuming that all of the time we spendtogether is “quality” and that relationship time spent is governed by the normaldistribution, do I have sufficient statistical evidence to claim that we were, infact, in a romantic relationship? (a) Find and interpret the z-score of our time spent together, specificallyreferencing what information the sign (positive/negative) of the z-scoretells…An urn contains 7 black and 16 white balls. A ball is to be drawn randomly from the urn. Let X= 1 if a black ball is drawn, and let X=-1 ifa white ball is drawn. Find the mean of X=_1 Leave your answer to two (2) decimal places. the variance of X=2 Leave your answer to two (2) decimal places. Enter the correct answer below. Fease enter a number for this test box Pieese enter a humber for this texc box 2.
- Describe Decomposition of the variance in Y?A milk company has several machines that fill jugs with milk. The QC manager of the company is interested in determining whether averages fill for these machines are the same. A partíally completed analysis of variance table is shown in table C Table C Sum of Squares Degrees of Freedom Source Mean Square 18.4 (iii) (iv) Treatments Error 16 (v) (0) 45.2 Total 41 a) Calculate the value for (0-(v) from the table. b) Calculate the number of machines use in the study. c) Calculate the total number of observations involved in the study. d) Help the QC manager to decide whether aperages fill for these machines are the same or not using a= 0.05.Given this already solved problem, how could you determine whether homogeneity of variance is satisfied for this analysis, and be clear on how you decided this.