Inferences with Two Means: Matched Pairs Access tech supplements, videos, and data sets at www.TriolaStats.com TECH CENTER continued TI-83, 83 84 Plus Calculator 8 us Ca cu ato Caution: Do not use the menu item 2-SampTTest because it applies only to independent samples. 1. Enter the data for the first variable in list L1 and the data for the second variable in list L2. 2. Create a list of differences and store the list in L3 by entering L1cL2YL3[. 3. Press K, then select TESTS in the top menu. Hypothesis Testing 1. Choose T-Test and press [. 2. Select Data and press [. 3. For m0 enter 0. 4. For List enter L3 (leave Freq = 1). 5. For m select the desired format for the alternative hypothesis. 6. Select Calculate and press [. Confidence Interval 1. Choose TInterval and press [. 2. Select Data, press [, and enter L3 for list name (leave Freq = 1). 3. Enter the desired confidence level C-Level. 4. Select Calculate and press [. TIP: The list name L1 (and L2 . . . L6) can be quickly entered by pressing F1. Excel Requires paired sample data entered in columns. Hypothesis Test XLSTAT Add-In 1. Click on the XLSTAT tab in the Ribbon and then click Parametric tests. 2. Select Two-sample t-test and z-test from the dropdown menu. 3. For Data format select Paired samples. Under Sample 1 & 2, enter the range of cells containing the paired sample data. 4. Select Student’s t test. 5. If the first row of data contains a label, check the Column labels box. 6. Click the Options tab. 7. Under Alternative hypothesis select the desired format (3 for two-tailed test, * for left-tailed test, + for right-tailed test). Enter 0 for Hypothesized difference (D) and enter the desired significance level (enter 5 for 0.05 significance level). Select Asymptotic p-value. 8. Click OK to display the test statistic (labeled t Observed value) and P-value. Excel (Data Analysis Add-In) 1. Click on Data in the ribbon, then click on the Data Analysis tab. 2. Select t-Test: Paired Two Sample for Means and click OK. 3. Enter the data range for each variable in the Variable Range boxes. If the first row contains a label, check the Labels box. 4. Enter 0 for Hypothesized Mean Difference. 5. Enter the desired significance level in the Alpha box. 6. Click OK. The results include the test statistic (labeled t Stat), P-values for a one-tail and two-tail test, and critical values for one-tail and two-tail test. Confidence Interval XLSTAT Add-In (Required) 1–5. Follow above Steps 1–5 for Hypothesis Test using the XLSTAT Add-In. 6. Click the Options tab. 7. Under Alternative hypothesis select the two-tailed option 3. Enter 0 for Hypothesized difference (D) and enter the desired significance level (enter 5 for 95% confidence level). Select Asymptotic p-value. 8. Click OK to display the confidence interval. 9-3 Matched Pairs 475 continued
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