Can anyone help me with this Statistics and Data Analysis Question. Thank you in advance.

Question:

In an adjacent county, the following values of forest fire destruction (in acres) were recorded over a series of time: 3518, 2786, 3143, 2140, 3063, 2067, 3251, 4188, 3150, 3842, 3021, 2908, 3143, 2763, 3730, 2770, 2681, 2911, 2954, 2902, 1728, 2559, 3985, 1267, 3472, 3037, 2353, 2551, 2829, 3519, 3306, 2096, 2959, 3780, 2253, 1998, 3679, 3322, 2593, 4509, 3563, 4216, 3239, 3693, 3489, 3183, 5045, 3125, 2332, 2473, 4853, 3495, 3436, 2554, 2833, 2875, 1931, 1921, 2564, 2400, 2808, 2967, 2587, 2249, 4506, 4369, 3122, 3225, 2728, 4353

Using R (as well as your mind!), answer the following:

1. Draw a histogram.

2. Then describe the distribution of this variable. (Hint: Review in your notes/resources for this course what is some key information needed to properly describe a distribution.)

3. There is another graph we can use to help confirm that the variable is normally distributed. Plot this graph and describe what this graph tells us. Then indicate whether or not you would say that this variable is normally distributed.

4. Draw a boxplot. What does an open circle represent? What do you want to do with any such observation(s) in this dataset? Would you remove any of them?

You must use the empirical rule to answer the problems in this question. In other words, I do not want you to use Rs pnorm() function to answer any of these questions.

Data from the rainfall in the western region of Scotland (in inches) was approximately normally distributed with: N(180.2, 3.8)

5. One year resulted in 187.8 inches. What percentile does this correspond to?

6. What percentage of years had between 176.4 and 187.8 inches?

7. If an item is manufactured with a z-score of +4, how much rain would this correspond to?

8. Do not use the empirical rule for this problem. Instead, use R for a precise calculation. One year was in the 97th percentile. How much rain does that correspond to?

Hint: There is an R function that will give you this exact piece of information. That is, it converts the area under the normal density curve back into a z-score.