[Answered]: Check whether the score of Control is higher than…

Check whether the score of Control is higher than the average of Organic and Comfort. ( i ) Construct the contrast and set up the null and alternative hypotheses. ( 5 pts ) ( ii ) Report the testing statistics, degree of freedom and the p – value. ( 1 0 pts ) ( iii ) Based on ( i ) draw a conclusion on the contrast at the significance level � 4 = 0 . 1 . ( 3 pts ) . Please use R code. Here is the data: Organic 4 . 8 3 2 Organic 5 . 5 0 3 Organic 6 . 3 3 4 Organic 6 . 3 3 5 Organic 5 . 6 7 6 Organic 6 . 1 7 7 Organic 5 . 5 0 8 Organic 5 . 0 0 9 Organic 5 . 0 0 1 0 Organic 6 . 3 3 1 1 Organic 6 . 1 7 1 2 Organic 4 . 8 3 1 3 Organic 4 . 6 7 1 4 Organic 5 . 5 0 1 5 Organic 5 . 8 3 1 6 Organic 4 . 6 7 1 7 Organic 6 . 1 7 1 8 Organic 5 . 3 3 1 9 Organic 6 . 1 7 2 0 Organic 5 . 6 7 2 1 Control 5 . 3 3 2 2 Control 5 . 6 7 2 3 Control 5 . 3 3 2 4 Control 5 . 1 7 2 5 Control 5 . 6 7 2 6 Control 5 . 6 7 2 7 Control 3 . 8 3 2 8 Control 5 . 3 3 2 9 Control 4 . 6 7 3 0 Control 4 . 8 3 3 1 Control 5 . 3 3 3 2 Control 3 . 8 3 3 3 Control 5 . 3 3 3 4 Control 5 . 3 3 3 5 Control 4 . 3 3 3 6 Control 5 . 5 0 3 7 Control 5 . 1 7 3 8 Control 6 . 1 7 3 9 Control 4 . 8 3 4 0 Control 4 . 3 3 4 1 Comfort 5 . 8 3 4 2 Comfort 5 . 0 0 4 3 Comfort 6 . 0 0 4 4 Comfort 5 . 0 0 4 5 Comfort 4 . 1 7 4 6 Comfort 4 . 6 7 4 7 Comfort 5 . 1 7 4 8 Comfort 5 . 5 0 4 9 Comfort 4 . 6 7 5 0 Comfort 4 . 5 0 5 1 Comfort 5 . 1 7 5 2 Comfort 5 . 1 7 5 3 Comfort 4 . 5 0 5 4 Comfort 4 . 6 7 5 5 Comfort 4 . 8 3 5 6 Comfort 5 . 8 3 5 7 Comfort 5 . 1 7 5 8 Comfort 4 . 3 3 5 9 Comfort 4 . 6 7 6 0 Comfort 4 . 3 3 6 1 Comfort 4 . 6 7 6 2 Comfort 3 . 6 7