This is Statistics course and I need help with these questions. It's Confidence Intervals for Differences of Means and Slopes unit.

Question 1 10 pts Use the following information for questions #1-3. A farmer has two fields which both produce the same type of heirloom tomatoes. To monitor their yield, the farmer randomly selects batches throughout the season and measures the mass (in grams) of each tomato in the batch. The most recent sample of the two fields, with 5 tomatoes from each, produced the data in the table below. Mass (grams) Field 1 105 103 99 100 103 Field 2 93 96 101 98 97 1. Which of these is an estimate for the difference in average mass of tomatoes in the two fields? A) /1 - 12 = 102 - 97 = 5 grams B) $1 - 12 = 102 -97 = 5 grams C) /1 - 12 = 103 - 94 = 9 grams D) X1 - 12 = 103 - 94 = 9 grams O A) O B) O C) O D) D Question 2 10 pts 2. Calculate the standard error for your answer from question 1. O 2.685 O 1.705 O 1.524 O 1.045D Question 3 10 pts 3. Find the 95% confidence interval for the difference of the means. O (1.66, 9.24) (1.24, 8.76) O (1.06, 8.94) O (2.45, 7.55)D Question 5 10 pts 5. Example 2: Suppose the table below represents the probability distribution for two random variables X and Y. X 1 3 5 7 P(X = X) 1/6 1/6 1/6 Y 2 4 6 8 P(Y = y) 1/2 1/5 1/10 If the two variables, X and Y are independent, what is P(X = 1 and Y = 6)? O 1/5 O 1/7 O 7/10 O 2/5 O 1/10D Question 6 10 pts 6. Which of these is the degrees of freedom for the slope of a least squares regression line based on a sample of n ordered pairs? On - 2 On-1 On On+1 D Question 7 10 pts 7. Linear regression was performed on a random sample of data from 50 ordered pairs and produced the computer output shown below. The regression equation is: lifespan = 3.75- 2.15 weight Predictor Coef St Dev t ratio Constant 3.749 0.861 2.51 0.000 Weight -2.151 0.823 -1.30 D.OOC s = 0.3138 R-sq = 96.2% R-sq (adj) = 96.1% Which of these best approximates the 99% confidence interval for the slope of the regression line? O 2.678 + (2.151) (0.861) O 3.749 + (1.96) (0.823) O 3.749 + (2.678) (0.823) O -2.151 + (1.96) (0.823) O -2.151 + (2.678) (0.823)