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An assignment for math 160/263 students to explore the capabilities of minitab in analyzing discrete finite and continuous distributions. Students will use minitab to generate samples from a binomial distribution and a normal distribution, calculate descriptive statistics, and create stem-and-leaf plots. The assignment also requires students to save and edit their reports in microsoft word.

Typology: Assignments

Pre 2010

1 / 2

Download Minitab Assignment: Exploring Discrete and Continuous Distributions and more Assignments Statistics in PDF only on Docsity! Math 160/263 – Assignment # 2 Title: Distributions in Minitab Worksheet: None The purpose of this assignment is to familiarize you with Minitab’s capa- bilities to display and compute statistics for discrete finite and continuous distributions. The assignment uses material from the Minitab Handbook, Chapters 3 and 12. Using Minitab with a Discrete Distribution In class you have met the Binomial Distribution, with parameters n, the number of trials, and p the fixed probability of success on any given trial. You will use Minitab to create a sample from B(100, 0.15), plot it and compare the numerical characteristics of the sample with the known characteristics of the distribution. 1. Using the Calc ⇒ Random Data ⇒ Binomial command create a sample of size 200 from the B(100, 0.15) distribution. Put 200 in “Number of rows to generate” and enter the n and p in the “Number of Trials” and “ Event Probability” windows. Put the sample in the first column in your worksheet. Include the first 5 rows of your sample in your report. 2. Using the Graph ⇒ Stem-and-Leaf command create a stem and leaf plot of your data. Select “Increment” of 2 to make a nice looking plot. Briefly describe the characteristics of this distribution in words. Minitab counts in from both sides until it finds the stem that contains the median. This stem has the number of leaves in it in parentheses. This is what the far left column of numbers means. 3. Using the Stat⇒ Basic Statistics⇒Display Descriptive Statistics command, compute the five number summary, the mean and the standard deviation of your sample. In the Display Descriptive Statistics dialog box you may have to select the Statistics button and choose the statistics that you want Minitab to compute. Compare the mean and the standard deviation from your sample with the theoretical ones for a B(100, 0.15) distribution. Using Minitab with a Continuous Distribution Minitab will also compute probabilities from continuous distributions. A study of serum cholesterol levels in psychiatric patients of a maximum secu- rity forensic hospital revealed that the the cholesterol level is approximately 1