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# Appendix B tTest: TwoSample Assuming Equal Variances tTest: Two-Sample Assuming Unequal Variances New Old New Old Mean 19.1 Mean 19.1 Variance...

Please answer the following questions and show all the step ( help me understand the questions).Thank you so much.

A marketing research firm tests the effectiveness of a new flavoring for a leading beverage using a sample of 20 people, half of whom taste the beverage with the old flavoring and the other half who taste the beverage with the new flavoring. The people in the study were then given a questionnaire to score how enjoyable the beverage was. Use the results provided in **Appendix B **to answer the following:

A. (2 points) Set up the null and alternative hypothesis needed to determine whether the mean scores differ.

Ho: andHa:

B. (2 points) Using a **3X rule of thumb **on the ratio of the variances, which analysis should be used to test the hypotheses? Show your calculation and then circle the correct response. Calculation:

**t-Test Assuming Equal Variances**or ** t-Test Assuming Unequal Variances **

C. (2 points) Based on your choice in part B, identify the appropriate degrees of freedom _______ and p-value _________________________ from Appendix B.

D. (2 points) Circle any of the level of significance that, if used, would result in concluding that there is NOT significance evidence that the means differ

0.10 0.05 0.025 0.01 0.001