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## BASICAPPLIEDSTATISTICS

by: Josefa Cartwright Jr.

22

0

5

# BASICAPPLIEDSTATISTICS STAT0200

Marketplace > University of Pittsburgh > Statistics > STAT0200 > BASICAPPLIEDSTATISTICS
Josefa Cartwright Jr.
Pitt
GPA 3.52

NancyPfenning

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COURSE
PROF.
NancyPfenning
TYPE
Class Notes
PAGES
5
WORDS
KARMA
25 ?

## Popular in Statistics

This 5 page Class Notes was uploaded by Josefa Cartwright Jr. on Monday October 26, 2015. The Class Notes belongs to STAT0200 at University of Pittsburgh taught by NancyPfenning in Fall. Since its upload, it has received 22 views. For similar materials see /class/229431/stat0200-university-of-pittsburgh in Statistics at University of Pittsburgh.

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Date Created: 10/26/15
MINITAB BASICS After starting MINITAB you ll see a Session window above and a worksheet below The Session window displays nongraphical output such as tables of statistics and character graphs A worksheet is where we enter name view and edit data At any point the session or worksheet window whichever is currently active may be printed by clicking on the print icon third from left at top of screen and clicking on OK The menu bar across the top contains the main menus File Edit Manip Calc Stat Graph Editor Window and Help Beneath the menu bar is the Toolbar which provides shortcuts for several important actions In the instructions that follow text to be typed will be underlined Menu instructions will be set in boldface type with the entries separated by pointers STORING DATA Each data set is stored in a column designated by a C followed by a number For example Cl stands for Column 1 The column designations are displayed along the top of the worksheet The numbers at the left of the worksheet represent positions within a column and are referred to as rows Each rectangle occurring at the intersection of a column and a row is called a cell It can hold one observation The active cell has the worksheet cursor inside it and a dark rectangle around it To enter or change an observation in a cell we rst make the cell active and then type the value Directly below each column label in the worksheet is a cell optionally used for naming the column To name the column we click on this cell and type the desired name Example A Suppose we want to store heights in inches of female recitation members 64 65 61 70 65 66 into column Cl and name the column FHTS Just click in the name cell for this column type FHTS and press the Enter key Then type Enter 65 Enter Enter and so on Example B To store male heights name column C2 MHTS and enter those data values in this column DESCRIPTIVE STATISTICS AND GRAPHS Example C For sample size mean median 5 trimmed mean standard deviation minimum maximum and quartiles of female height data 1 Choose StatgtBasic StatisticsgtDisplay Descriptive Statistics 2 Specify FHTS in the Variables text box 3 Click OK For histogramD stemplotE and boxplotF of female height data Example D 1 Choose GraphgtHist0gram 2 Specify FHTS in the X text box for Graph 1 3 Click OK Example E 1 Choose GraphgtStem and Leaf 2 Specify FHTS in the Variables text box 3 Click OK Example F 1 Choose GraphgtB0xplot 2 Specify FHTS in the Y text box for Graph 1 3 Click OK Example G To combine female and male recitation members heights and find their 10 trimmed mean 1 Choose ManipgtStackUnstackgtStack Columns 2 Specify FHTS and MHTS with a space between them as columns to be stacked and HTS in the Store the stacked data in box Click OK 3 Choose ManipgtS01t 4 Specify HTS as column to be sorted specify SORTEDHTS in the Store s01ted columns in box and HTS in the S011 by column box 5 Make a new column for the trimmed data as follows Choose ManipgtC0py columns and specify SORTEDHTS in the Copy from columns box specify TRIMMEDHTS in the T0 columns box Since 10 of about 20 values is about 2 delete the smallest two and largest two heights by choosing ManipgtDelete rows specifying 12 1920 in the Delete rows box and TRIMMEDHTS in the From columns box 6 Choose StatgtBasic StatisticsgtDisplay Descriptive Statistics 7 Specify TRIMMEDHTS in the Variables box 8 Click OK The mean of this reduced data set is actually the 10 trimmed mean RANDOM SAMPLING Example H We can use MINITAB to randomly select 5 from 100 students Assume their names are in an alphabetical list where the first name corresponds to the number 1 and the last corresponds to the number 100 Choose CalcgtMake Patterned DatagtSimple Set of Numbers Type NUMBERS in the Store Patterned Data text box Click in the From rst value text box and type i Click in the T0 last value text box and typem Click OK Choose CalcgtRand0m DatagtSample From Columns Type i in the small text box after Sample Click in the Sampler0ws from columns text box and specify NUMBERS Click in the Store sample in text box and type SAMPLE 10 Click OK WW QMer N STATISTICAL INFERENCE CONFIDENCE INTERVALS Example 1 Assume heights in inches of female recitation members to be a random sample taken from heights of all female college students whose mean height is unknown actually it is about 65 and standard deviation is 25 Use sample heights to obtain a 90 confidence interval for population mean height Choose StatgtBasic Statisticsgt1 Sample Z Specify FHTS in the Variables text box Select the Con dence interval option button Click in the Level text box and type Click in the Sigma text box and type Q Click OK 9959 Example J Assume heights in inches of male recitation members to be a random sample taken from heights of all male college students whose mean and standard deviation are unknown Use sample heights to obtain a 99 con dence interval for population mean height Choose StatgtBasic Statisticsgt1 Sample t Specify MHTS in the Variables text box Select the Con dence interval option button Click in the Level text box and type 2 Click OK 959 STATISTICAL INFERENCE HYPOTHESIS TESTS Example K Test the null hypothesis that heights in inches of female recitation members are a random sample taken from a population with mean 65 against the alternative that the mean is different from 65 Assume population standard deviation to be 25 1 Choose StatgtBasic Statisticsgt1 Sample Z 2 Specify FHTS in the Variables text box 3 Select the Test mean option button 4 Click in the Test mean text box and type Q 5 Click the arrow button at the right of the Alternative dropdown list box and select not equal to 6 Click in the Sigma text box and type Q 7 Click OK Example L Do sons tend to be taller than their fathers Test the null hypothesis that the difference heights of male recitation members minus heights of their fathers is zero vs the alternative that the difference is positive First enter male recitation members heights in a column SONS and their corresponding fathers heights in a column FATHERS Choose StatgtBasic StatisticsgtPaired t Click in the First Sample text box and specify SONS Click in the Second Sample text box and specify FATHERS Click in the Options button Click in the Test Mean text box and type Q Click the arrow button at the right of the Alternative dropdown list box and select greater than 7 Click OK 8 Click OK 9959 Example M Use MINITAB to verify that female heights are significantly less than male heights Choose StatgtBasic Statisticsgt2 Sample t Select the Samples in different columns option button Click in the First text box and specify FHTS Click in the Second text box and specify MHTS Click the arrow button at the right of the Alternative dropdown list box and select less than Unselect the Assume equal variances check box if it is selected to indicate that we are not 9959 assuming populations of female and male heights to have equal standard deviations 7 Click OK REGRES SION Example N Use MINITAB to examine the relationship between heights of male recitation members and heights of their fathers after verifying the linearity of the scatterplot nd the correlation r and the regression equation obtain a con dence interval for the mean height of all sons of 70inchtall fathers and a prediction interval for an individual son of a 70inchtall father Choose GraphgtPlot Specify SONS in the Y text box for Graph 1 Click in the X text box for Graph 1 and specify FATHERS Click OK Choose StatgtBasic StatisticsgtCorrelation Specify FATHERS and SONS in the Variables text box Click OK Choose StatgtRegressiongtRegression Specify SONS in the Response text box Click in the Predictors text box and specify FATHERS Click OK Choose StatgtRegressiongtRegression Specify SONS in the Response text box Click in the Predictors text box and specify FATHERS Click in the Prediction intervals for new observations text box and type E Click in the Con dence level text box and type 2 Click OK Click OK Click in the Optionsbutton pwsowewwe HHHHHHHHHH gt09 gt19NMHgt9gtN9 ANALYSIS OF VARIANCE Example 0 Use MINITAB to see if there is a significant difference in mean heights of freshmen sophomores juniors and seniors in the class 1 Choose StatgtANOVAgtOnewayUnstacked 2 Specify FRHTS SOHTS JU HTS SEHTS in the Response in separate columns text box 3 Click OK

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