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conduct a research study to see whether the new bonus plan increases sSales volume. To collect data one-month period. plan, sample of sales personnel will be allowed to sell under (a) Develop the null and alternative hypotheses most appropriate for this situation. Ho: H 2 14 HaiH< 14 Ho: H = 14 Hg:H # 14 H3:H > 14 Ho:H > 14 HaiHS 14 DI 5 H :°H o Ho: H < 14 HgiHZ 14 (b) Comment on the conclusion when Ho cannot be rejected. We can conclude that there is not statistical evidence that the new bonus plan increases the mean monthly sales volume. We can conclude that there is statistical evidence that the new bonus plan increases the mean monthly sales volume. (c) Comment on the conclusion when Ho can be rejected. We can conclude that there is not statistical evidence that the new bonus plan increases the mean monthly sales volume. O We can conclude that there is statistical evidence that the new bonus plan increases the mean monthly sales volume.

conduct a research study to see whether the new bonus plan increases sSales volume. To collect data one-month period. plan, sample of sales personnel will be allowed to sell under (a) Develop the null and alternative hypotheses most appropriate for this situation. Ho: H 2 14 HaiH< 14 Ho: H = 14 Hg:H # 14 H3:H > 14 Ho:H > 14 HaiHS 14 DI 5 H :°H o Ho: H < 14 HgiHZ 14 (b) Comment on the conclusion when Ho cannot be rejected. We can conclude that there is not statistical evidence that the new bonus plan increases the mean monthly sales volume. We can conclude that there is statistical evidence that the new bonus plan increases the mean monthly sales volume. (c) Comment on the conclusion when Ho can be rejected. We can conclude that there is not statistical evidence that the new bonus plan increases the mean monthly sales volume. O We can conclude that there is statistical evidence that the new bonus plan increases the mean monthly sales volume.

MATLAB: An Introduction with Applications
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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**Title: Evaluating the Impact of a New Bonus Plan on Sales Volume** **Context:** The manager of an automobile dealership is exploring a new bonus plan aimed at increasing sales volume. The current mean sales volume is 14 automobiles per month. The goal is to determine if the new bonus plan will increase sales. A study will be conducted where a sample of sales personnel will operate under the new plan for one month. **Hypotheses Development:** (a) Develop the null and alternative hypotheses for this scenario: - **Option 1:** - \( H_0: \mu \geq 14 \) - \( H_a: \mu < 14 \) - **Option 2:** - \( H_0: \mu = 14 \) - \( H_a: \mu \neq 14 \) - **Option 3:** - \( H_0: \mu \leq 14 \) - \( H_a: \mu > 14 \) - **Option 4:** - \( H_0: \mu < 14 \) - \( H_a: \mu \geq 14 \) **Conclusion Analysis:** (b) Comment on the conclusion when \( H_0 \) cannot be rejected: - We can conclude that there is not statistical evidence that the new bonus plan increases the mean monthly sales volume. - We can conclude that there is statistical evidence that the new bonus plan increases the mean monthly sales volume. (c) Comment on the conclusion when \( H_0 \) can be rejected: - We can conclude that there is not statistical evidence that the new bonus plan increases the mean monthly sales volume. - We can conclude that there is statistical evidence that the new bonus plan increases the mean monthly sales volume. **Explanation:** The selection of hypotheses is crucial in determining the statistical analysis to be conducted. The null hypothesis (\( H_0 \)) represents a statement of no effect or no difference, while the alternative hypothesis (\( H_a \)) represents what we are trying to prove. In this scenario, the hypotheses are related to whether the mean sales volume increases due to the new bonus plan. **Conclusion Options:** The conclusions provided will depend on whether the null hypothesis can be rejected based on the collected data. If \( H_0 \) is rejected, it suggests there is enough statistical evidence to support that the new bonus plan does
Transcribed Image Text:**Title: Evaluating the Impact of a New Bonus Plan on Sales Volume** **Context:** The manager of an automobile dealership is exploring a new bonus plan aimed at increasing sales volume. The current mean sales volume is 14 automobiles per month. The goal is to determine if the new bonus plan will increase sales. A study will be conducted where a sample of sales personnel will operate under the new plan for one month. **Hypotheses Development:** (a) Develop the null and alternative hypotheses for this scenario: - **Option 1:** - \( H_0: \mu \geq 14 \) - \( H_a: \mu < 14 \) - **Option 2:** - \( H_0: \mu = 14 \) - \( H_a: \mu \neq 14 \) - **Option 3:** - \( H_0: \mu \leq 14 \) - \( H_a: \mu > 14 \) - **Option 4:** - \( H_0: \mu < 14 \) - \( H_a: \mu \geq 14 \) **Conclusion Analysis:** (b) Comment on the conclusion when \( H_0 \) cannot be rejected: - We can conclude that there is not statistical evidence that the new bonus plan increases the mean monthly sales volume. - We can conclude that there is statistical evidence that the new bonus plan increases the mean monthly sales volume. (c) Comment on the conclusion when \( H_0 \) can be rejected: - We can conclude that there is not statistical evidence that the new bonus plan increases the mean monthly sales volume. - We can conclude that there is statistical evidence that the new bonus plan increases the mean monthly sales volume. **Explanation:** The selection of hypotheses is crucial in determining the statistical analysis to be conducted. The null hypothesis (\( H_0 \)) represents a statement of no effect or no difference, while the alternative hypothesis (\( H_a \)) represents what we are trying to prove. In this scenario, the hypotheses are related to whether the mean sales volume increases due to the new bonus plan. **Conclusion Options:** The conclusions provided will depend on whether the null hypothesis can be rejected based on the collected data. If \( H_0 \) is rejected, it suggests there is enough statistical evidence to support that the new bonus plan does
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