Please help with these questions :)

Question 1 Background : Additive X A researcher wanted to study the effect of a newly developed gasoline additive (Additive X) on automobile mileage (miles per gallon, MPG). To gather information, a random sample of cars has been selected. For each car, the MPG was measured both when gasoline with Additive X is used and when gasoline without Additive X is used. The order of the two treatments (with Additive X versus without Additive X) was randomized and care was taken so that there was no carry over effect between the two MPG measurements. The 95% confidence interval for the mean mileage improvement* . for the population of all such cars was found to be (1 MPG, 4 MPG). The 99% confidence interval for the mean mileage improvement* , for the population of all such cars was found to be (0.5 MPG, 4.5 MPG). * improvement is defined as the difference in MPG for cars using gasoline with Additive X less gasoline without Additive X. The researcher knows that you have some statistical background and she would like for you to revise the following 2 statement that she has prepared for her report. Please read the statements carefully and share with us your opinion.1.a TBD For each statement, the researcher will need the following two items: points 1. Decide if the provided statement is appropriate or not appropriate. 2. If appropriate, explain why this is a correct statement. If not appropriate, provide a correct statement Statement 1: We estimate the population mean improvement in mileage (gasoline with Additive X less without Additive X) to be 2.5 MPG with a 99% margin of error of 2 MPG. No answer entered. Click above to enter an answer. 1.b TBD For each statement, the researcher will need the following two items: points 1. Decide if the provided statement is appropriate or not appropriate. 2. If appropriate, explain why this is a correct statement. If not appropriate, provide a correct statement. Statement 2: If we repeated this sampling procedure 300 times and for each repetition we computed the corresponding 99% confidence interval, we would expect 297 of the resulting intervals would each contain the corresponding sample mean difference in automobile mileage (gasoline with Additive X less without Additive X).1.c TBD A competitor's fuel additive had an established average improvement in mileage of 0.75 MPG. The researcher used the study results to test the points following theories: Ho: Hd = 0.75 MPG versus Ha: Ha # 0.75 MPG where the parameter /q represents the mean mileage improvement (with Additive X less without Additive X) for the population of all such cars. According to her calculations, the correspodeng p-value for this test is 0.028. The researcher has checked her calculations multiple times and believes that her p-value is correct. Use the two confidence intervals to explain to the researcher why the p-value of 0.028 is a reasonable p-value for this test. No answer entered. Click above to enter an answer. 1.d TBD We were told the results are based on a random sample of cars. State the remaining assumption (in context) needed to perform the confidence points intervals and the hypothesis test. No answer entered. Click above to enter an