In Rstudio

In this experiment, pairs of plants, one cross- and one self-fertilized, were planted and grown in the same plot. The following table gives the difference in height for 15 pairs of plants (cross-fertilized minus self-fertilized Zea mays) raised by Charles Darwin. Use this data to evaluate the null hypothesis that the two methods are not different at a significance level of 0.01 . State you hypothesis first

Difference: 49, -67, 8, 16, 6, 23, 28, 41, 14, 29, 56, 24, 75, 60, -48

1. I) Calculate the 99% Confidence Interval using hand calculations (Without Using the R t.test function)

2. II) Test whether there is a difference in the mean height of both pair of plants without using t.test function

3. III) Test whether there is a difference in the mean height of both pair of plants using t.test function