412 CHAPTER 8 Hypothesis Testing Hypothesis Test: Mean Access tech supplements, videos, and data sets at www.TriolaStats.com TECH CENTER Statdisk 1. Click Analysis in the top menu. 2. Select Hypothesis Testing from the dropdown menu and select Mean One Sample from the submenu. 3. Select the desired format for the Alternative Hypothesis, enter the desired significance level and claimed mean (from the null hypothesis). 4. Using Summary Statistics: Select the Use Summary Statistics tab and enter the sample size, sample mean, and sample standard deviation. Using Sample Data: Select the Use Data tab and select the desired data column. 5. Click Evaluate. Minitab 1. Click Stat in the top menu. 2. Select Basic Statistics from the dropdown menu and select 1-Sample t from the submenu. 3. Using Summary Statistics: Select Summarized data from the dropdown menu and enter the sample size, sample mean, and sample standard deviation. Using Sample Data: Select One or more samples, each in a column from the dropdown menu and select the desired data column. 4. Check the Perform hypothesis test box and enter the mean used in the null hypothesis. 5. Click the Options button and enter the confidence level. (Enter 95.0 for a significance level of 0.05.) For Alternative hypothesis select the format used for the alternative hypothesis. 6. Click OK twice. TIP: Another procedure is to click on Assistant in the top menu, then select Hypothesis Tests and 1-Sample t. Complete the dialog box to get results, including P-value and other helpful information. StatCrunch 1. Click Stat in the top menu. 2. Select T Stats from the dropdown menu, then select One Sample from the submenu. 3. Using Summary Statistics: Select With Summary from the submenu and enter the sample mean, sample standard deviation, and sample size. Using Sample Data: Select With Data from the submenu and select the desired data column. 4. Select Hypothesis test for M and for H0 enter the claimed value of the population mean (from the null hypothesis). For HA select the format used for the alternative hypothesis. 5. Click Compute! TI-83> 83 84 Plus Calculator 8 us Ca cu ato 1. Press K, then select TESTS in the top menu. 2. Select T-Test in the menu and press [. 3. Enter the claimed value of the population mean m0. 4. Using Summary Statistics: Select Stats, press [ and enter the sample mean x, sample standard deviation Sx, and sample size n. Using Sample Data: Select Data, press [, and enter the name of the list containing the sample data. Freq should be set to 1. 5. For m select the format used for the alternative hypothesis. 6. Select Calculate and press [. R R command: t.test(x, alternative=c(“two. sided”, “less”, “greater”), mu=0, conf.level =0.95) TIP: For Example 1: t.test(x, alternative = “less”, mu = 7, conf.level = 0.95) A complete list of R statistical commands is available at TriolaStats.com Excel XLSTAT Add-In (Required) Requires original sample data; does not work with summary data. 1. Click on the XLSTAT tab in the Ribbon and then click Parametric tests. 2. Select One-Sample t-test and z-test from the dropdown menu. 3. Under Data enter the range of cells containing the sample data. For Data format select One sample. If the first row of data contains a label, also check the Column labels box. 4. Check the Student’s t test box. 5. Click the Options tab. 6. Under Alternative hypothesis select the desired format (3 for two-tailed test, * for left-tailed test, + for right-tailed test). 7. For Theoretical mean, enter the claimed value of the population mean (from the null hypothesis). Enter the desired significance level (enter 5 for a significance level of 0.05). 8. Click OK to display the results. The test statistic is identified as t(Observed value) or z(Observed value). The P-value and critical value(s) are also displayed.
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