Use the following to answer the next 4 questions. A lumber manufacturing company would like to compare the average weight capacity of two types of boards they currently manufacture. The sampled boards were obtained using a random selection. They want to know whether there is evidence the average weight of board A differs from board B. Weight in lbs for Board A vs Board B 350 BUD 250 Board A Board B data: boardA and boardB t = -2.9875, df = 36, p-value = 8.9439 alternative hypothesis: true difference in means is not equal to a 95 percent confidence interval: -58.1 -1.?3 sample estimates: mean of x mean of y 385.?565 331.6715 Write a conclusion based on the software output for the hypothesis test. Assume C: = 0.05. Write this in your own words. Any obvious copying from online resources will result in a 0 for all questions pertaining to this scenario. - (4 points)I Include a statement of strength in terms of the alternative hypotheses. Must write this in the context of this problem. - (2 points)I State whether we should or should not reject the null based on the signicance level. - (2 points)I State the test statistic, df and p-value. Estimate the parameter of interest Please use the output above to interpret the condence interval. Please keep in mind that R Studio kept Board A as "group 1" and Board B as "group 2". Write this in your own words. Any obvious copying from online resources will result in a U for all questions pertaining to this scenario. In your statement, please include: - (3 points) State or describe the parameter of interest. - (3 points) Include correct interval values and condence level. - (3 points) Must illustrate which group is more (or less) than the other