A vegetable processing company packages, among other things, bags of baby carrots. Shown here are the weights of 84 bags sampled at random off of the processing line. The weights are in grams, and are rounded to the nearest gram. The mean is 114 grams with a standard deviation of 6 grams.

126, 119, 125, 114, 110, 105, 110, 115, 120, 116, 107, 118, 104, 112, 112, 102, 120, 110, 112, 122, 118, 113, 117, 116, 124, 116, 117, 116, 112, 115, 124, 109, 115, 122, 113, 108, 109, 112, 109, 112, 112, 113, 116, 118, 124, 114, 112, 123, 124, 114, 112, 103, 122, 109, 107, 132, 115, 114, 98, 113, 120, 116, 119, 126, 121, 111, 118, 113, 111, 97, 109, 117, 127, 117, 118, 108, 115, 102, 117, 118, 115, 118, 116, 119

1. Paste this into a vector, and print a histogram.
2. Using R, summarize the variable by calculating the descriptive statistics including mean, SD, 5-number summary, and boxplot.
3. The lowest weight of any of the packages is 97 grams. You can see this for yourself by typing: min(VAR) where VAR is the name you gave to your vector. What is its z-score?
4. What is the z-score of the heaviest package of carrots in this group?
5. What would be the weight of a package that had a z-score of -3?