a. The PSU's Mixed Me club has 20 members. You need to pick a different person for each of the following positions: president, treasurer, and secretary from the 20 members. How many different ways can you do this? b. How many ways can you choose 6 cookies from a cookie jar containing 16 cookies of all the same type? C. How many ways can you make a 6 digit password that can be any number (including zero) or letter (not case sensitive)? d. How many ways can you order 5 people standing in line? Check AnswerYou work for a large farm with many fields of corn. You are investigating the mass of a sample of ears of corn. You gather the following data and enter it into your spreadsheet: Mass(g) of ears of corn 14.4 21.9 18.0 15.1 12.6 22.1 15.7 20.1 28.2 18.2 22.1 20.9 17.7 16.3 20.1 17.4 15.5 19.7 17.7 27.8 16.8 23.5 Checksum: 421.8 Some of the masses in the sample seem much larger than the rest. You decide to make several calculations describing the "spread" of the data set. You hope to use them to help in the search for outliers. Start with the IOR: a. IQR = 5.6 x Apply the 1.5 IQR rule to search for outliers. Report the lower and upper cuttoffs. b. Lower: c. Upper: d. Are there any outliers by the 1.5 IQR rule? (Enter "yes or "no") Now find the mean and Standard deviation: e. sample standard deviation 4.0 / a Apply the 2-standard deviation rule to search for outliers. Report the lower and upper cuttoffs. f. Lower: g. Upper: h. Are there any outliers by the 2-standard deviation rule? (Enter yes or "no") Question Help: ( Video Check