The foundation of a building is designed to be supported by 100 piles with a capacity of 80 tons each. 9 pilesdriven into the ground layers supported at the Ras tgele points were loaded until migration occurred in each pile and the results given in the table below were obtained. Test Pile Pile Capacity (tons) 1 90 2 75 3 95 4 90 5 88 6 92 7 78 8 85 9 88 a) Calculate the average and standard deviation for the individual pile capacity to be used in construction b) At a 5% significance level, based on the results of 9 test piles, are the manufactured piles acceptable? The zero hypothesis would indicate that the average pile capacity is 80 tons. c) Determine the 95% confidence interval for the average pile capacity. d) Repeat the calculations you made manually above withR. Provide the R code and its result separately as the answer to this option.

SOLVE STEP BY STEP IN DIGITAL FORMAT Calculate the area of a triangle, whose vertices are A (2, -1, 4), B (3, 5,-2) and C (-11, -6, 8).

Solve for x