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. data value (x1 > 0 integer) of sample 1 n1 ................................. size (positive integer) of sample 1 x2 ................................. data value (x2 > 0 integer) of sample 2 n2 ................................. size (positive integer) of sample 2 Save Res ..................... list for storage of calculation results (None or List 1 to 20) Execute ....................... executes a calculation or draws a graph After setting all the parameters, align the cursor with [Execute] and then press one of the function keys shown below to perform the calculation or draw the graph. • 1(CALC) ... Performs the calculation. • 6(DRAW) ... Draws the graph. Calculation Result Output Example 20010101 20011101 1-2-9 Tests (TEST) 1-2-9 Tests (TEST) p1>p2............................ direction of test z .................................. z score p .................................. p-value p.1 ................................. estimated proportion of sample 1 p.2 ................................. estimated proportion of sample 2 p................................... estimated sample proportion n1 ................................. size of sample 1 n2 ................................. size of sample 2 # [Save Res] does not save the p1 condition in line 2. 20010101 k kkkkkt Tests 1-2-10 Tests (TEST) u uuuuut Test Common Functions You can use the following graph analysis functions after drawing a graph. • 1(T) ... Displays t score. Pressing 1(T) displays the t score at the bottom of the display, and displays the pointer at the corresponding location in the graph (unless the location is off the graph screen). Two points are displayed in the case of a two-tail test. Use d and e to move the pointer. Press ito clear the t score. • 2(P) ... Displays p-value. Pressing 2(P) displays the p-value at the bottom of the display without displaying the pointer. Press ito clear the p-value. # The following V-Window settings are used for #Executing an analysis function automatically drawing the graph. stores the t and p values in alpha variables T Xmin = –3.2, Xmax = 3.2, Xscale = 1, and P, respectively. Ymin = –0.1, Ymax = 0.45, Yscale = 0.1 20010101 1-2-11 Tests (TEST) 1-2-11 Tests (TEST) u uuuuu1-Sample t Test This test uses the hypothesis test for a single unknown population mean when the population standard deviation is unknown. The 1-Sample tTest is applied to t-distribution. t = o –.0 x.n–1 o .0 : mean of sample : assumed population mean n x.n-1 : sample standard deviation n : size of sample Perform the following key operations from the statistical data list. 3(TEST) c(T) b(1-Smpl) The following shows the meaning of each item in the case of list data specification. Data ............................ data type ................................... population mean value test conditions (“G.0” specifies two- tail test, “< .0” specifies lower one-tail test, “> .0” specifies upper one-tail test.) .0 ................................. assumed population mean List .............................. list whose contents you want to use as data (List 1 to 20) Freq ............................. frequency (1 or List 1 to 20) Save Res ..................... list for storage of calculation results (None or List 1 to 20) Execute ....................... executes a calculation or draws a graph The following shows the meaning of parameter data specification items that are different from list data specification. o .................................. mean of sample x.n-1 ............................. sample standard deviation (x.n-1 > 0) n .................................. size of sample (positive integer) After setting all the parameters, align the cursor with [Execute] and then press one of the function keys shown below to perform the calculation or draw the graph. • 1(CALC) ... Performs the calculation. • 6(DRAW) ... Draws the graph. 20011101 Calculation Result Output Example 1-2-12 Tests (TEST) .G 11.3 ...................... direction of test t ................................... t score p .................................. p-value o .................................. mean of sample x.n-1 ............................. sample standard deviation n .................................. size of sample # [Save Res] does not save the . condition in line 2. 20010101 1-2-13 Tests (TEST) 1-2-13 Tests (TEST) u uuuuu2-Sample t Test 2-Sample t Test compares the population means when the population standard deviations are unknown. The 2-Sample t Test is applied to t-distribution. The following applies when pooling is in effect. o1 – o2 t = 1+1 2 xp.n–1 n1 n2 (n1–1)x1.n–12 +(n2–1)x2.n–12 xp.n–1 = n1+ n2–2 df = n1 + n2 – 2 The following applies when pooling is not in effect. o1 – o2 t = o1 :mean of sample 1 o2 :mean of sample 2 x1.n-1 :standard deviation of sample 1 x2.n-1 :standard deviation of sample 2 n1 :size of sample 1 n2 :size of sample 2 xp.n-1 : pooled sample standard deviation df : degrees of freedom o1 :mean of sample 1 o2 :mean of sample 2 x1.n-1 :standard...

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