A specialist in dietology claims that the percentage of calories that came from fat in women vary with a mean of 30 during the summer months. A study was conducted to learn how the diets of women change during the winter months. A random group of 11 women were observed during the month of July and the percentage of each woman's calories that came from fat was determined. The results were as follows: (30.5, 28.4, 40.2, 37.6, 36.5, 38.8, 34.7, 29.7, 37.2, 41.5, 37.0 Conduct a hypothesis test to see if there is evidence that, in women, the mean fat percentage intake in July is different from 30. In your answer: i) Using RStudio, compute the sample mean and the sample standard de- viation. ii) State the null and alternative hypotheses. Define the parameter(s) being tested. iii) State any assumption(s) you are making in order to carry out this hy- pothesis test. State what you could do on RStudio, if anything, to check the plausibility of your assumption (s). iv) State the formula for the test statistic and the null distribution