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. Do rats take less time on average than hamsters to travel through a maze? The table below shows the times inseconds that the rats and hamsters took.Rats: 18, 32, 15, 18, 38, 25, 51, 32, 27Нamsters: 24, 28, 23, 15, 48, 53, 49, 52Assume that both populations follow a normal distribution. What can be concluded at the a = 0.10 level ofsignificance level of significance?For this study, we should use Select an answera. The null and alternative hypotheses would be:Ho: Select an answerSelect an answer (please enter a decimal)H: Select an answerSelect an answer (Please enter a decimal)] (please show your answer to 3 decimal places.)| (Please show your answer to 4 decimal places.)b. The test statistic 2c. The p-value = |d. The p-value is ? ae. Based on this, we should Select an answer the null hypothesis.f. Thus, the final conclusion is that .O The results are statistically insignificant at a = 0.10, so there is insufficient evidence to conclude thatthe population mean time to complete the maze for rats is less than the population mean time tocomplete the maze for hamsters.O The results are statistically insignificant at a = 0.10, so there is statistically significant evidence toconclude that the population mean time to complete the maze for rats is equal to the population meantime to complete the maze for hamsters.The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude that themean time to complete the maze for the nine rats is less than the mean time to complete the maze forthe eight hamsters.O The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude that thepopulation mean time to complete the maze for rats is less than the population mean time to completethe maze for hamsters. g. Interpret the p-value in the context of the study.O If the population mean time to complete the maze for rats is the same as the population mean time tocomplete the maze for hamsters and if another 9 rats and 8 hamsters are observed then there would bea 12.41% chance that the mean time to complete the maze for the 9 rats would be at least 8.1 secondsless than the mean time to complete the maze for the 8 hamsters.O There is a 12.41% chance that the mean time to complete the maze for the 9 rats is at least 8.1 secondsless than the mean time to complete the maze for the 8 hamsters.There is a 12.41% chance of a Type I error.O If the sample mean time to complete the maze for the 9 rats is the same as the sample mean time tocomplete the maze for the 8 hamsters and if another 9 rats and 8 hamsters are observed then therewould be a 12.41% chance of concluding that the mean time to complete the maze for the 9 rats is atleast 8.1 seconds less than the mean time to complete the maze for the 8 hamsters.h. Interpret the level of significance in the context of the study.O If the population mean time to complete the maze for rats is the same as the population mean time tocomplete the maze for hamsters and if another 9 rats and 8 hamsters are observed, then there would bea 10% chance that we would end up falsely concluding that the sample mean time to complete themaze for these 9 rats and 8 hamsters differ from each other.O If the population mean time to complete the maze for rats is the same as the population mean time tocomplete the maze for hamsters and if another 9 rats and 8 hamsters are observed then there would bea 10% chance that we would end up falsely concluding that the population mean time to complete themaze for rats is less than the population mean time to complete the maze for hamstersO There is a 10% chance that the rat will eat the hamster.O There is a 10% chance that the population mean time to complete the maze for rats and hamsters is thesame.

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