B AND C ONLY **Do Rats Take Less Time on Average than Hamsters to Travel Through a Maze?**The following table shows the times in seconds that the rats and hamsters took to travel through a maze:**Rats:**- 40, 51, 51, 24, 17, 8, 3, 39**Hamsters:**- 52, 31, 49, 42, 30, 52, 30, 34, 18, 42**Assumptions:**- Both populations follow a normal distribution.- α = 0.05 level of significance.To determine if there is a statistically significant difference in the average times between rats and hamsters, we should use a:**t-test for the difference between two independent population means.****Steps for Hypothesis Testing:****a. The null and alternative hypotheses would be:****Null Hypothesis (H₀):** \[H₀: \mu_1 = \mu_2\](μ₁ represents the mean time for rats, and μ₂ represents the mean time for hamsters)**Alternative Hypothesis (H₁):**\[H₁: \mu_1 < \mu_2\](We are testing whether rats take less time than hamsters, hence the less than sign)**b. Calculate the test statistic:**\[t = \, \text{(Please show your answer to 3 decimal places.)}\]**c. Determine the p-value:**\[\text{p-value} = \, \text{(Please show your answer to 4 decimal places.)}\]**Conclusion:**Based on the p-value and the given level of significance (α = 0.05), we can determine whether to reject the null hypothesis in favor of the alternative hypothesis to conclude if rats indeed take less time on average than hamsters to travel through the maze.

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Do rats take less time on average than hamsters to travel through a maze? The table below shows the times in seconds that the rats and hamsters took. 30, 52, 30, Rats: 40, 51, 51, 24, 17, 8, 3, 39 49, 42, 31, Hamsters: 52, 34, 18, 42 Assume that both populations follow a normal distribution. What can be concluded at the a = 0.05 level of significance level of significance? For this study, we should use t-test for the difference between two independent population mea The ornativo