need help with: A,B,Cplease ! ### Analyzing Maze Completion Times for Rats and Hamsters**Objective:** To determine if rats take more time on average than hamsters to travel through a maze.**Data Set:** - **Rats' Times (in seconds):** 12, 30, 34, 42, 28, 20, 47, 33, 24, 53 - **Hamsters' Times (in seconds):** 33, 29, 23, 15, 19, 20, 42, 25 Assume both populations follow a normal distribution. Analyze the data using a significance level, $\alpha = 0.01$.**Steps for Analysis:**1. **Select the Test** Choose the appropriate statistical test to compare the means of two independent samples.2. **Formulate Hypotheses:** - **Null Hypothesis ($H_0$):** No difference in the mean times between rats and hamsters. - **Alternative Hypothesis ($H_1$):** Rats take more time on average than hamsters.3. **Calculate the Test Statistic ($t$):** Compute the test statistic with precision up to three decimal places.4. **Determine the P-value** Calculate the p-value, providing the result up to four decimal places.5. **Compare P-value to $\alpha$:** - Determine whether the p-value is less than or equal to $\alpha$.6. **Draw Conclusions:** - If the test results are statistically significant ($p \leq \alpha$), conclude there is sufficient evidence that rats take more time. - If not, conclude there is insufficient evidence.**Final Conclusion Options:**- The results indicate a significant difference at $\alpha = 0.01$, allowing us to infer that rats take more time than hamsters.- The results are statistically insignificant, providing evidence that the times are equal.- The results are insignificant, indicating insufficient evidence for a difference in time.Complete the calculations and select the correct options based on your analysis results.

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Do rats take more time on average than hamsters to travel through a maze? The table below shows the times in seconds that the rats and hamsters took. Rats: 12, 30, 34, 42, 28, 20, 47, 33, 24, 53 Hamsters: 33, 29, 23, 15, 19, 20, 42, 25 Assume that both populations follow a normal distribution. What can be concluded at the a = 0.01 level of significance level of significance?

Do rats take more time on average than hamsters to travel through a maze? The table below shows the times in seconds that the rats and hamsters took. Rats: 12, 30, 34, 42, 28, 20, 47, 33, 24, 53 Hamsters: 33, 29, 23, 15, 19, 20, 42, 25 Assume that both populations follow a normal distribution. What can be concluded at the a = 0.01 level of significance level of significance?

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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Question

need help with: A,B,C

please !

### Analyzing Maze Completion Times for Rats and Hamsters

**Objective:**
To determine if rats take more time on average than hamsters to travel through a maze.

**Data Set:**
- **Rats' Times (in seconds):** 12, 30, 34, 42, 28, 20, 47, 33, 24, 53
- **Hamsters' Times (in seconds):** 33, 29, 23, 15, 19, 20, 42, 25

Assume both populations follow a normal distribution. Analyze the data using a significance level, $\alpha = 0.01$.

**Steps for Analysis:**

1. **Select the Test**
Choose the appropriate statistical test to compare the means of two independent samples.

2. **Formulate Hypotheses:**
- **Null Hypothesis ($H_0$):** No difference in the mean times between rats and hamsters.
- **Alternative Hypothesis ($H_1$):** Rats take more time on average than hamsters.

3. **Calculate the Test Statistic ($t$):**
Compute the test statistic with precision up to three decimal places.

4. **Determine the P-value**
Calculate the p-value, providing the result up to four decimal places.

5. **Compare P-value to $\alpha$:**
- Determine whether the p-value is less than or equal to $\alpha$.

6. **Draw Conclusions:**
- If the test results are statistically significant ($p \leq \alpha$), conclude there is sufficient evidence that rats take more time.
- If not, conclude there is insufficient evidence.

**Final Conclusion Options:**

- The results indicate a significant difference at $\alpha = 0.01$, allowing us to infer that rats take more time than hamsters.
- The results are statistically insignificant, providing evidence that the times are equal.
- The results are insignificant, indicating insufficient evidence for a difference in time.

Complete the calculations and select the correct options based on your analysis results.

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