Monday, January 6, 2020

T-Test and Anova - 2114 Words

BUS 310 Notes regarding Two-Sample t-Tests and ANOVAs In Chapter 9, we learned how to conduct a t test of a hypothesis when we were testing the mean of a single sample group against some pre-determined value (i.e., the 21.6 gallons of milk consumption as the national average). This week, in Chapter 10, we will see how to test hypotheses that involve more than one sample group—such as testing to see if males are significantly taller than females. If we have two groups, then the technique that we will use will still be a t test. If we have more than two groups, then we will have to use a different test called Analysis of Variance (ANOVA, for short). The good news is that the decision rules for hypothesis testing that we learned†¦show more content†¦Since the company wants to see if the new software is quicker, our hypotheses would be: H0:  µC ≠¤  µN Ha:  µC  µN In this case,  µN stands for the mean time to complete using the new software and  µC stands for the mean time to complete using the current software. In our alternative hypothesis, we are speculating that the current software would take a longer mean time as compared with the new software. Just like last week, since the alternative hypotheses contains (as opposed to ≠ ), this is a one-tailed test. To conduct our test, we first have to enter the data, then we go to the Data Ribbon and select Data Analysis. Within the popup box, we choose t-Test: Two Sample Assuming Equal Variances and we should get a popup box that looks like this: In the box for Variable 1 Range, we select the data for the current software (including the column label), A1:A13. In the box for Variable 2 Range, we select the data for the new software, B1:B13. Since we included the labels within our data ranges (we’ll see why in a minute), we need to check the Labels box. Note that Alpha is already set to 0.05. If the problem tells us to use a different alpha, then we would change that, but we will virtually always use alpha = .05 (95% confidence) in business research. The only other than that we need to do is put 0 (zero) in the Hypothesized Mean Difference box. While itShow MoreRelatedThe Utilization Of T Test999 Words   |  4 PagesThe utilization of t-test, ANOVA, and comparing group means are essential in social research. When the researcher uses a test, the goal is to compare the averages of the two groups in order to determine if the sample population has shown any differences in the variables studied. 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