**Educational Website Transcription: Statistical Analysis Interface**This section allows users to input and analyze different statistical scores related to sex and dosage levels. Each dropdown menu offers selection options for specific data inputs:1. **Sexes F Score**: [Choose] - Input the F score related to sex differences.2. **Sexes p-value**: [Choose] - Select the p-value to assess the statistical significance concerning sex.3. **Sexes Decision**: [Choose] - Make a decision based on the statistical results concerning sex.4. **Dosage level F Score**: [Choose] - Enter the F score relevant to dosage level differences.5. **Dosage Level p-value**: [Choose] - Choose the p-value to evaluate the statistical significance concerning dosage levels.6. **Dosage level Decision**: [Choose] - Determine the outcome based on the statistical results of dosage levels.7. **Interaction F Score**: [Choose] - Input the F score assessing interaction effects between sex and dosage levels.8. **Interaction p-value**: [Choose] - Select the p-value to measure the significance of interaction effects.9. **Interaction Decision**: [Choose] - Decide on the interaction effects based on the statistical analysis.10. **Is there an interaction between the person's sex and their dosage level?**: [Choose] - Make a final evaluation based on the statistical interactions explored above. This tool is designed to aid in rigorous statistical analysis and decision-making in research involving sex and dosage variable interactions. **Study Summary and Data Analysis**This study involved 24 men and 24 women who were divided into groups to assess the effects of a drug administered in low vs. high doses. The summarized results are presented below.**Research Questions:**Using Excel and an alpha value of 0.05, answer the following:(a) Is there a difference between the males and females?(b) Is there a difference between the low and high dose groups?(c) Is there an interaction between a person's sex and their reaction to the dosage level?**Data Summary:**| | Male | | Female | ||---------|------|------|--------|------|| | Low | High | Low | High || | 6 | 6 | 2 | 2 || | 6 | 8 | 5 | 3 || | 2 | 7 | 2 | 6 || | 3 | 8 | 4 | 7 || | 4 | 6 | 4 | 5 || | 3 | 8 | 5 | 3 || | 3 | 9 | 2 | 8 || | 2 | 7 | 1 | 6 || | 4 | 6 | 2 | 4 || | 5 | 8 | 5 | 6 || | 3 | 7 | 4 | 3 |Analyze the data to determine if there are statistically significant differences based on sex, dosage level, and their interaction.

(a) The hypothesis is, Null hypothesis: H0: There is no significance difference between the males and females. Alternative hypothesis: H1: There is significance difference between the males and females. The ANOVA is conducted by using EXCEL. The software procedure is given below: Enter the data. Select Data > Data Analysis >ANOVA: Two-Factor With Replication > OK. Enter Input Range as A1:C25. Enter Rows per sample as 12. Enter Alpha as 05. Click OK. The output using EXCEL is as follows: From the output, the sexes F score is 19.2883, and p-value is 0.000. Decision rule: If p-value≤α, then reject the null hypothesis. Otherwise, do not reject the null hypothesis. Conclusion: The p-value (0.000) is less than the level of significance (0.05). Based on decision rule, reject the null hypothesis. Thus, there is significance difference between the males and females.(b) The hypothesis is, Null hypothesis: H0: There is no significance difference between the low and high dose groups. Alternative hypothesis: H1: There is significance difference between the low and high dose groups. From the output, the dosage level F score is 29.5666, and p-value is 0.000. Decision rule: If p-value≤α, then reject the null hypothesis. Otherwise, do not reject the null hypothesis. Conclusion: The p-value (0.000) is less than the level of significance (0.05). Based on decision rule, reject the null hypothesis. Thus, there is significance difference between the low and high dose groups. (c) The hypothesis is, Null hypothesis: H0: There is no interaction between a person's sex and their reaction to the dosage level. Alternative hypothesis: H1: There is interaction between a person's sex and their reaction to the dosage level. From the output, the dosage level F score is 9.8410, and p-value is 0.0030. Decision rule: If p-value≤α, then reject the null hypothesis. Otherwise, do not reject the null hypothesis. Conclusion: The p-value (0.0030) is less than the level of significance (0.05). Based on decision rule, reject the null hypothesis. Thus, there is an interaction between a person's sex and their reaction to the dosage level.

Math

Statistics

24 men and 24 women were separated into different categories to test whether the effects of a drug were different in low doses vs. high doses. The table below summarizes the results. Use Excel to test the following. Use alpha = 0.05. %3D (a) Is there a difference between the males and females? (b) Is there a difference between the low and high dose groups? (c) Is there an interaction between a person's sex and their reaction to the dosage level?

24 men and 24 women were separated into different categories to test whether the effects of a drug were different in low doses vs. high doses. The table below summarizes the results. Use Excel to test the following. Use alpha = 0.05. %3D (a) Is there a difference between the males and females? (b) Is there a difference between the low and high dose groups? (c) Is there an interaction between a person's sex and their reaction to the dosage level?

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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