Do rats take the same amount of 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: 31, 26, 35, 34, 31, 39, 39, 6 Hamsters: 36, 35, 16, 29, 20, 25, 28, 37 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 Select an answer a. The null and alternative hypotheses would be: Select an answer ♥ (please enter a decimal) | (Please enter a decimal) Ho: Select an answer Select an answer H1: Select an answer v Select an answer ♥ S Select an answer v b. The test statistic ?v- (please show your answer to 3 decimal places.) c. The p-value = d. The p-value is ? e. Based on this, we should Select an answer f. Thus, the final conclusion is that ... (Please show your answer to 4 decimal places.) va v the null hypothesis. O The results are statistically insignificant at a = 0.05, so there is insufficient evidence to conclude that the population mean time to complete the maze for rats is not the same as the population mean time to complete the maze for hamsters. O The results are statistically significant at a = 0.05, so there is sufficient evidence to conclude that the population mean time to complete the maze for rats is not the same as the population mean time to complete the maze for hamsters. O The results are statistically insignificant at a = 0.05, so there is statistically significant evidence to conclude that the population mean time to complete the maze for rats is equal to the population mean time to complete the maze for hamsters. O The results are statistically significant at a = 0.05, so there is sufficient evidence to conclude that the mean time to complete the maze for the eight rats is not the same as the mean time to complete the maze for the eight hamsters. g. Interpret the p-value in the context of the study. O If the sample mean time to complete the maze for the 8 rats is the same as the sample mean time to complete the maze for the 8 hamsters and if another 8 rats and 8 hamsters are observed then there would be a 69.32% chance of concluding that the mean time to complete the maze for the 8 rats differs by at least 1.9 seconds compared to the mean time to complete the maze for the 8 hamsters. O There is a 69.32% chance of a Type l error. O There is a 69.32% chance that the mean time to complete the maze for the 8 rats differs by at least 1.9 seconds compared to the mean time to complete the maze for the 8 hamsters. Olf the population mean time to complete the maze for rats is the same as the population mean time to complete the maze for hamsters and if another 8 rats and 8 hamsters are observed then there would be a 69.32% chance that the mean time to complete the maze for the 8 rats would differ by at least 1.9 seconds compared to the mean time to complete the maze for the 8 hamsters. h. Interpret the level of significance in the context of the study. O There is a 5% chance that the population mean time to complete the maze for rats and hamsters is the same. O There is a 5% chance that the rat will eat the hamster. O If the population mean time to complete the maze for rats is the same as the population mean time to complete the maze for hamsters and if another 8 rats and 8 hamsters are observed then there would be a 5% chance that we would end up falsely concluding that the population mean time to complete the maze for rats is not the same as the population mean time to complete the maze for hamsters Olf the population mean time to complete the maze for rats is the same as the population mean time to complete the maze for hamsters and if another 8 rats and 8 hamsters are observed, then there would be a 5% chance that we would end up falsely concluding that the sample mean time to complete the maze for these 8 rats and 8 hamsters differ from each other.