1 Stat 2507 A, D and BIT. Fall term 2017. Assignment#1. (Covering Ch.1-2.) Due date Tue. Oct. 3, at the beginning of class Last name:, First name:- Student number: Total of marks=100. Every question is worth 4 marks. Notes: 1. For instructions regarding (remote) access to minitab, printing, and saving documents, please refer to the notes \"Printing\" and \"Minitab and SAS Access\" under the link click here 2. Minitab data used in the lab part below of this assignment 1 are in the Minitab file Stat2507Lab1data on Culearn. Part I. Lab Questions. Use only the blanks left to answer lab questions. Print and attach all histograms, boxplots, stem-and-leaf plot, etc, you are asked to generate. 1. (United Fund) Column Donation records the yearly charitable contributions (in dollars) to the United Fund for a group of 50 employees at a public university. (a) Construct a stem-and-leaf plot for the data. (b) What is the group's median donation?- (c) What fraction of donations is below 60 dollars? (d) What are the smallest and the largest donations?- and - (e) Quarter of the donations are above what value? 2. (United Fund, continued.) (a) Construct a boxplot for the data above. (b) What shape does this data have?(c) Do you see any outliers? (what value, if any?) 3. (Recurring illness) The length of time (in months) between the onset of a particular illness and its recurrence was recorded for n = 60 patients (see column Time). (a) Construct a percent histogram for the data. (b) Would you describe the shape as roughly symmetric, skewed to the right, or skewed to the left?- (c) Give the percentage of recurrence times less than 6 months.(d) Find the range- Use it to approximate the standard deviationCompare to the exact value of s- 2 (e) Construct a boxplot for this data and check for any outliers. If any, compute their z-score (f) Would you use Chebychev's theorem or empirical rule for this data? Explain-. 4. Column Ages contains ages (in months) at which 60 children were enrolled in a preschool. (a) The purpose of this question is to check the empirical rule. Use desc command to get the mean x= and the standard deviation s= of this set of data. Create a column c4 with values 1 or 0 according to whether age is between falls in the interval x s. Create a column c5 with values 1 or 0 according to whether age is between falls in the interval x 2s? You may proceed as follows to create both columns: MTB>Let c4=if(c3 > x s & c3 < x + s, 1, 0) MTB>Let c4=if(c3 > x 2 s & c3 < x + 2 s, 1, 0) Now that columns c4 and c5 are created, count the number of times 1 occurs in columns c4 and c5 by tapping MTB>tally c4; SUB>counts; SUB>percent. MTB>tally c5; SUB>counts; SUB>percent. Now you are ready to answer the question: what is the percentage of ages that fall in the intervals x s?-, and x 2s?-. (b) Construct a frequency histogram for this data. What shape does the data have? -Is all this (including the percentages above) in line with the empirical rule?- Explain - Roughly, how do the mean and median confirm the data shape? - (c) Use desc command to find the five-number summary of the Ages data (d) 25% of ages above what value?. How old was the oldest student?-. 50% of ages between what values? - and . The interquartile range is- Part II. Comprehension Questions 1. Identify each of the following variables as categorical, discrete, or continuous. Use space left after each question. (a) The sodium daily intake of a randomly selected person. 3 (b) The Number of calls per minute to a hotline center. (c) The brand of the next car arriving at an oil change center for service-. (d) The weekly average occupancy rate at a chain hotel in Southern Ontario. 2. Consider the following data corresponding to some Uber trip costs (in dollars) in Ottawa area taken at different dates: 21, 15, 12, 8, 48, 11, 10. (a) Compute x, the mean trip cost, and s the standard deviation, and find the median trip cost. Use the space left below to show all your work. (b) Compute the z-score for the trip cost $48. Would you consider this value as an outlier? Why or why not? Use space left below to show all your work. 3. Salaries at a large online shopping company averaged last year $85,000, with a standard deviation of $9,000. Assuming salaries distribution is quite bell-shaped, about 95% of last year'salaries lie within what limits? Use space left below to show all your work