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1 TI-Inspire manual 1 Newest version Older version Real old version This version works well but is not as convenient entering letter

2 Instructions TI-Inspire manual 1 General Introduction Ti-Inspire for statistics

3 TI-Inspire manual 2

4 General Instructions TI-Inspire manual 3 Press the On, Off button to go to Home page Quick calculation page Opens a page for entering document and texts Opens a page for calculation. This is different from scratch pad above in that it can be saved. Open a page for entering data in the form of a spread sheet Open a page for plotting and graphing data.

5 TI-Inspire manual 4 Use the middle button to navigate among the choices To select an option press, in the middle button Press [ Enter] (see below)

6 TI-Inspire manual 5 Important If you try to divide numbers TI-Inspire will give you a fraction since a decimal is only an approximation 1 1 Which I am more than happy to live with Deleting Highlight the item or column or number and hit del

7 TI-Inspire manual 6 Finding Mean, Median and Mode Step 1) Open list so you can enter your data Press Click the above icon A new document opens with Lists & Spreadsheet on the

8 Enter your data in a column (you could use any column) TI-Inspire manual 7 But usually start with A Give the column a name using the letter keys Put name in top row beside the letter Put NOTHING in this row for now.

9 TI-Inspire manual 8 use the arrow to select the page you want and then hit enter to go to that page

10 TI-Inspire manual 9 Problem: Find the mean of the number of hours of TV watched by a sample of freshmen men during their first week of college. 35, 28, 29, 31, 36, 26, 23, 34,19 Click [Menu] Enter the Data in the column

11 TI-Inspire manual Give column a title if you wish otherwise it will be known by the letter above it. Generally it is better to give each column a unique title so it can be found easily. Use alphabet keys at the bottom of the calculator to do this Press Menu Hit [Menu].

12 TI-Inspire manual 10 Choose 4: Statistics The choose 1: Stat Calculations Use arrow on navigator button to move left/ right or up/down

13 TI-Inspire manual 11 Choose 1: One-Variable Statistics Step 2) leave num of lists on "1" and and then use Tab to get to [OK] Leave Num of Lists as 1

14 TI-Inspire manual 12 This tells the TI where the data is you want the mean of. columns Leave these three alone Leave Frequency at 1 and leave the others blank This tell the calculator where to put the answers. Choose a column that does not already have data in it because it will override anything that is there You can also press the arrow at the end and it will give you the names of all thedata sets you have at that time and then use Tab to get to [OK] = mean (pronounced X bar ) Scroll down for median and other data

15 TI-Inspire manual 13 Clearing column and/ or rows of Data First columns Use Go to Click the above icon.

16 TI-Inspire manual 14 use center navigator button to the data entry button which will cause it to highlight. Click on the letter and this will cause the whole column to highlight of the top of the column you want to clear When column highlights Hold down [ctrl] and hit [del/clear] Column will empty Several rows or several columns at the same time: Drag to select additional rows or columns Copying rows or columns Use the same procedure as above to highlight the row or column. When it is highlighted press [ctrl] C to copy a column or row and [ctrl] V to paste it.

17 Constructing a Box plot TI-Inspire manual 15 IMPORTANT: The column you want to turn into a box plot must have a name Add a new number to you list of freshman tv watches. This one watches 56 hours a week and probably will not be here the second semester. On Select Graph button to get a graph screen

18 TI-Inspire manual 16 This box will appear Click here Name of several file may appear pick the one you wish to do box plot on

19 TI-Inspire manual 17 It looks this [Menu] Choose 1: Plot type Choose 2 Box plot

20 TI-Inspire manual 18 Move the arrow over part of the box or the outlier and it becomes a hand the number that appears is the where the outliers start. In this case 36 is not an outlier but anything greater is Move the hand to the line in the middle o fhte box and it will give you the median. Inthis case 30

21 TI-Inspire manual 19 Move the hand to the bottom of the box and it will give you Q1, etc. The dot by itself to the left is an outlier and is our 56 hour tv watcher

22 TI-Inspire manual 20 How to find Standard Deviation Go to Press Home List & spread sheet/ Data Entry Click the above icon. Enter data and give the column a name

23 4:Statistics 1: Stat Calculations 1:One Variable Statistics TI-Inspire manual 20

24 TI-Inspire manual 21 leave on "1" Press center button or Enter to [OK] and press

25 TI-Inspire manual 22 Leave Num of Lists as 1 The [OK] Tab to the last slot and then use Tab to get to [OK] This tells the TI where the data is you want the mean of. columns Leave these three alone Leave Frequency at 1 and leave the others blank Tab to [OK] This tell the calculator where to put the answers. Choose a column that does not already have data in it because it will override anything that is there

26 TI-Inspire manual 23 There are two standard deviations Sx is for a sample x is for a population You can also press the arrow at the end and it will give you the names of all the data sets you have at that time Sx is the standard deviation for a sample and the one you want to use

27 One sample Z-test TI-Inspire manual 24 Local citizens have been concerned that the reading program in the public schools may be inferior. The superintendent hires you to conduct an experiment to investigate. You set a = 0.05 (alpha level) for making your decision. You compare the reading level of current high school seniors to national reading proficient norms which are normally distributed with M = 75 and SD = 16. You administer the reading test to 100 randomly selected high school seniors in your city. The obtained mean of the sample = 72. What is your conclusion? [On] [Home] Calculator button at bottom [Menu] 6:Statistics 7: Stat Tests 1:zTest Push center

28 TI-Inspire manual 25

29 TI-Inspire manual 26 National mean National SD Our sample mean Our sample size Our hypothesis: there is not difference between our sample and the comparison sample The results are not significantly different. Z(100)=-1.875, p>.05 However, at.060 it s awful close to being significantly different!

30 TI-Inspire manual 27 One sample T-tests The United States has the highest teen pregnancy rate in the western world, despite the fact that US teens are not more sexually active than Swedish teens, Canadian teens, or British teens. The mean teenage pregnancy rate in the US is 11.85% The rates for states in the this area ( based on survey of year olds) Arkansas 17.28% Mississippi Louisiana 17.05% Texas 15.25% H O : There is no significant difference in the pregnancy rate of the states of Arkansas, Mississippi, Louisiana and Texas compared to the rest of the nation H A: There is no significant difference in the mean teenage pregnancy rate of the four states sample and the US average. Other Alternative hypothesis are of course possible.

31 TI-Inspire manual 28 Open a spread sheet Put the date into column as a list title it teen then choose 4: Statistics then choose 4:Stat Tests

32 TI-Inspire manual 29 Choose 2: t Test It is designed to test a sample against a larger known mean Choose Data because you entered your data into a column on the Spreadsheet page Click OK µ0: mean you a comparing to List: is the column where you put the data from your sample Frequency: always 1 Alternate Hyp: Three hypothesis are possible A two sided Ha: µ µ0 My sample mean is significantly different from the population mean, great or less it doesn t matter it s just significantly different. Ha: µ > µ0 My sample is greater, bigger, etc. than the national mean Ha: µ < µ0 My sample is less smaller, etc. than the national mean

33 TI-Inspire manual 30 These results would be reported as There is a significant difference in the pregnancy rate of the states of Arkansas, Mississippi, Louisiana and Texas compared to the rest of the nation. t(3) = 7.29, p <.006. The pregnancy rate for the nation was and for the four states in question the average was 17.05, s = 1.43

34 TI-Inspire manual 31 However, if you are given the mean for the data the procedure is different The average age of mothers in the US when they give birth to their first child is x = 2.6. The average age of a sample of 200 women from the Arkansas Delta region is Our hypothesis is: Ha: The age of mothers giving birth to their first child is significantly lower in the Delta region of Arkansas than the national average of the sample is significantly lower than the national average. Ha: µ < µ0 [On] [Home] Calculator button at bottom [Menu] :Statistics 7: Stat Tests 1:zTest Push center

35 TI-Inspire manual 32 Press 4: Statistics 4:Stat Tests" 2:t-test choose "Stats" this time Sample mean National standard deviation National mean N in our sample In this case our hypothesis is that our sample (Delta region) is significantly lower than the Pick column for results and the [OK] These results would be written: A significant difference (p<.000)was found in the mean age for mother giving birth to their first child in the Arkansas Delta region than the national average. t (199) = , p <.000. With the mean for the nation being 25.1 and the mean for the delta region of Arkansas being Means are usually given in addition to the t scores

36 TI-Inspire manual 33 when the difference is significant. Two Independent Sample T-Test This t-test is used when you have two separate sample that you are comparing. (They do not have to be the same size.) Ie. Rainfall in one city to rainfall in another, female scores on a selfesteem test compared to males scores on the same test. The Inspire has a 2-Sample T-Test Enter the data for the two groups you are comparing in two, usually columns 1 & 2. Give them a title Honolulu-Average Phoenix-Average San Francisco-Average Little Rock - average month Avg. month Avg. month Avg. month Ave January 73 January 54 January 51 January 44 February 73 February 58 February 54 February 46 March 75 March 63 March 55 March 56 April 76 April 71 April 56 April 63 May 78 May 79 May 57 May 71 June 80 June 89 June 59 June 80 July 81 July 93 July 60 July 81 August 81 August 91 August 61 August 83 September 81 September 86 September 63 September 75 October 80 October 75 October 62 October 62 November 75 November 62 November 57 November 54 December 74 December 55 December 52 December 44 Ho mo Jan Feb Ma Ap Ma Jun Jul Au Sep Oc No De

37 TI-Inspire manual 34 Enter Data into columns and title [menu] 4:Statistics 4:Stat Tests 4:2 Sample t Test Choose Data is your data is in columns Choose stat if you have mean and standard deviation

38 TI-Inspire manual 35 Pick the two columns of data you wish to compare. Of the four in this case any two can be chosen but only at a time. Put one name in list 1 and the other in list 2. Order does not matter Choose Alternative hypothesis (Ha:) from the drop down list µ1>µ2 the first group is significantly more, faster, greater, etc. than the second group µ1<µ2 the first group is significantly less than, smaller, etc, than the second group Leave frequency alone µ1 µ2 the difference between group 1 and group 2 is not significant

39 TI-Inspire manual 36 Since it seems logical that Honolulu has a higher average than Little Rock choose 1 < 2 If the two standard deviations are similar (neither is more than twice of the other), use pooled t(22) = , p <.002 Scroll down and you find the means and Honolulu s mean = while Little Rock s mean temperature = Wriitten this way There was a significant difference(p <.002) in th eaverage temperatures of Little Rock and Honolulu, t(22) = , p <.002( s= 3.2) with Honolulu mean temperature being and Little Rocks mean = (s = 14.65) It was said earlier to used pooled unless one standard deviation and more than 2 times which in this case it is. Repeat the statistic usign non-pooled) The result change only slightly. t(12.8) = 3.23, p <.004

40 TI-Inspire manual 40 Matched pairs t-test want to know if subjects have more anxiety after they watch a slasher flick or after watching the evening news. I will measure anxiety with a state anxiety scale. The higher the score the more anxiety. I will use the same subjects twice but to compensate for order effect" I will reverse the order they see the two shows Subject Slasher flick Evening news Subject Evening news Slasher flick

41 TI-Inspire manual 40 This can be treated in terms of two columns since order is not a factor. Subject Slasher flick Evening news Put Slasher Data in Column A and news data in Column B Title each appropriately Title third column diff In the area just below this title type the following formula =a[ ]-b[ ] Hit enter and the difference will appear in the column below. This tell the calculator to subtract column b from column a dn put the difference in c

42 TI-Inspire manual 40 use [ctrl] That will turn ( ) into [ ] Go to Menu 4: Statistics 4: Stat Test 2:t test you are not using the 2 sample t-test because you are measuring the actual difference against 0 Data method input is Data For use 0 Always choose 0 The two tailed test Put your results in d

43 TI-Inspire manual 40 Anova Doing an ANOVA on the TI is amazing simple if you have been doing t-tests You wish to determine if College status (Fr, Soph, Jr, Sr) affects the number of time in a month that a male student goes out Goes out is defined as leaving the dorm for reason other than going home, to eat in the cafeteria, to class, to chapel, business, checking mail, or study. Dating, cruising, hanging out with the guys /"girls" would all be considered going out A sample was taken and the number of times during the school week (Mon to Fri) for 24 students over a 9-week period are given in the following table. Fr Soph Jr Sr Enter the data in to four columns and title them [Menu] 4: Statistics 4: Stat tests

44 C: AVOVA TI-Inspire manual 41 Number of groups is the number of columns. In the previous window, you indicated you had four group. Now you need to give the TI the names of the four groups. And then tell the programs where to put the answer.

45 TI-Inspire manual 42 F(3, 20) = 3.7, p <.03 You will have to scroll down for the second df, it is called the dferror

46 TI-Inspire manual 43 A source table can also be constructed from the information above The Within data row is filled with the error data from the TI Source SS df MS F p Between <.001 Within Total

47 TI-Inspire manual 44 Correlations Enter the data you want to correlate into two columns in the Data and Spreadsheet. This would usually be columns A [ ] and B[ ], title them. Levels of Anger Levels of depression Punch [menu] "4:Statistics" "1: Stat Calculations" "4:Linear Regressions(a+bx) There is also a 3: Linear Regression with the formula (mx+b) This one will give you a correlation but it will also give you extra data you don t want to bother with. Avoid it. X List is usually the factor you believe affects the second. If you just believe there is a relationship either factor can be X Y List is usually the factor affected by the X factor. Again if you are just positing a relationship either factor can be Y

48 Leave Save RegEqu to alone Leave Frequency as 1 TI-Inspire manual 45 Skip Category List and Include Categories Put results in an empty column r = correlation

49 Regression TI-Inspire manual 46 Getting a and b on the TI-Nspire to run a regression Run a correlation and look again it gives you a and b (see example above)

50 TI-Inspire manual 47 Chi Square As an example assume the following Chi Square or matrix Believes in Santa Does not Believe in Santa male female Undecided about The jolly old man First set up a matrix with your numbers choose calculator page (not scratch pad)

51 On the calculator page type [35,43,27:43,25,10] a TI-Inspire manual 48 [ctrl] and ( will give you the [ ] brackets The comma is to the left of the o Choose semi-colon The semi-colon is activated by the? button which produces a number of special symbols Choose ;

52 On the calculator page type [35,43,273,25,10] a TI-Inspire manual 49 After you have closed the bracket store the matrix in letter a you can store it in a different letter if a is already being used. The is the store command sto which is activated by first hitting [ctrl] [ENTER]

53 TI-Inspire manual 50 [Menu] 6: Statistics 7: stat tests 8: χ 2 2-way Test [Enter] Choose the letter a or whatever you designated the matrix as for the Observed Matrix: [OK] You now have both χ 2 and you p value

54 TI-Inspire manual 50 Goodness of Fit 1 X Put observed numbers in column a(and name) Put expected number in column b ( and name) M&M S PEANUT: 23% cyan blue, 23% orange, 15% green, 15% bright yellow, 12% red, 12% brown. Expected can be either 1. Total divided by number of factors; You are saying that all factors will have equal amounts i.e. In the case of bags of M&M s you would be saying that there is an equal number of each color in each bag There are an average of 35 peanut M & Ms in each package and there are 6 colors 35/6 = A known statistic you are comparing your results to./ ie. We compare the number of M&M s, by color, in a sample of bags to the number of each color the company claims on its website. Assuming a bag of 35 then by percent it would be 9 blue, 8 orange, 4 green, 5 yellow, 5 red and 4 blue(roughly) [Menu]

55 TI-Inspire manual 50 The bag I opened for this sample included 12 blue 7 orange 3 green, 3 yellow 4 red 5 brown Enter data into two columns [menu] 4: Statistics 4: Stat Tests 7: χ 2 GOF [ENTER]

56 TI-Inspire manual 51 Observed List is the location of the list your sample produced, your bag in this case, column a Expected List is the location of either 1. Total/N 2. Comparison data you are using 3. df = number of categories - 1 [OK] The results gives us our χ 2 and probability

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