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: 29, 39, 34, 23, 28, 19, 24, 23, 27 Hamsters: 21, 22, 13, 7, 39, 15, 40, 13 Assume that both populations follow a normal distribution. What can be concluded at the a = 0.10 level of %3D significance level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer v? vSelect an answer |(please enter a decimal) H: Select an answer ?Select an answer v (Please enter a decimal) b. The test statistic ? v = (please show your answer to 3 decimal places.) c. The p-value d. The p-value is ?a e. Based on this, we should Select an answer v the null hypothesis. | (Please show your answer to 4 decimal places.) f. Thus, the final conclusion is that . O The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude that the mean time to complete the maze for the nine rats is more than the mean time to complete the maze for the eight hamsters. O The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude that the population mean time to complete the maze for rats is more than the population mean time to complete the maze for hamsters. O The results are statistically insignificant at a =0.10, so there is insufficient evidence to conclude that the population mean time to complete the maze for rats is more than the population mean time

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O The results are statistically insignificant at a
0.10, 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.
g. Interpret the p-value in the context of the study.
OIf 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 9 rats and 8 hamsters are observed then there
would be a 11.6% chance that the mean time to complete the maze for the 9 rats would be at least
6.1 seconds longer than the mean time to complete the maze for the 8 hamsters.
O There is a 11.6% chance that the mean time to complete the maze for the 9 rats is at least 6.1
seconds longer than the mean time to complete the maze for the 8 hamsters.
O There is a 11.6% chance of a Type I error.
OIf the sample mean time to complete the mze for the 9 rats is the same as the sample mean time to
complete the maze for the 8 hamsters and if another 9 rats and 8 hamsters are observed then there
would be a 11.6% chance of concluding that the mean time to complete the maze for the 9 rats is at
least 6.1 seconds longer 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 There is a 10% chance that the population mean time to complete the maze for rats and hamsters is
the same.
OIf 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 9 rats and 8 hamsters are observed, then there
would be a 10% chance that we would end up falsely concluding that the sample mean time to
complete the maze for these 9 rats and 8 hamsters differ from each other.
OIf 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 9 rats and 8 hamsters are observed then there
would be a 10% chance that we would end up falsely concluding that the population mean time to
complete the maze for rats is more than the population mean time to complete the maze for hamsters
O There is a 10% chance that the rat will eat the hamster.
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Transcribed Image Text:hent/showtest.php?action=Dskip&to=D3 O The results are statistically insignificant at a 0.10, 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. g. Interpret the p-value in the context of the study. OIf 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 9 rats and 8 hamsters are observed then there would be a 11.6% chance that the mean time to complete the maze for the 9 rats would be at least 6.1 seconds longer than the mean time to complete the maze for the 8 hamsters. O There is a 11.6% chance that the mean time to complete the maze for the 9 rats is at least 6.1 seconds longer than the mean time to complete the maze for the 8 hamsters. O There is a 11.6% chance of a Type I error. OIf the sample mean time to complete the mze for the 9 rats is the same as the sample mean time to complete the maze for the 8 hamsters and if another 9 rats and 8 hamsters are observed then there would be a 11.6% chance of concluding that the mean time to complete the maze for the 9 rats is at least 6.1 seconds longer 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 There is a 10% chance that the population mean time to complete the maze for rats and hamsters is the same. OIf 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 9 rats and 8 hamsters are observed, then there would be a 10% chance that we would end up falsely concluding that the sample mean time to complete the maze for these 9 rats and 8 hamsters differ from each other. OIf 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 9 rats and 8 hamsters are observed then there would be a 10% chance that we would end up falsely concluding that the population mean time to complete the maze for rats is more than the population mean time to complete the maze for hamsters O There is a 10% chance that the rat will eat the hamster. MacBook Pro ב DII DD F4 F5 F7 F8 F9 F10 F1 F12 & 5 6 7 8 9 R T Y U P [
10) - ets.timoteabojorqu x
nt/showtest.php?action=skip&to=3
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: 29,
39, 34, 23, 28, 19, 24, 23, 27
Hamsters: 21, 22,
13, 7, 39, 15, 40,
13
Assume that both populations follow a normal distribution. What can be concluded at the a
0.10 level of
significance level of significance?
For this study, we should use Select an answer
a. The null and alternative hypotheses would be:
Ho: Select an answer v?vSelect an answer v (please enter a decimal)
H: Select an answer v
Select an answer v (Please enter a decimal)
b. The test statistic ? =
c. The p-value =
d. The p-value is ? va
e. Based on this, we should Select an answer v the null hypothesis.
(please show your answer to 3 decimal places.)
(Please show your answer to 4 decimal places.)
f. Thus, the final conclusion is that ...
O The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude that
the mean time to complete the maze for the nine rats is more than the mean time to complete the
maze for the eight hamsters.
O The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude that
the population mean time to complete the maze for rats is more than the population mean time to
complete the maze for hamsters.
O The results are statistically insignificant at a =0.10, so there is insufficient evidence to conclude
that the population mean time to complete the maze for rats is more than the population mean time
27
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Transcribed Image Text:10) - ets.timoteabojorqu x nt/showtest.php?action=skip&to=3 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: 29, 39, 34, 23, 28, 19, 24, 23, 27 Hamsters: 21, 22, 13, 7, 39, 15, 40, 13 Assume that both populations follow a normal distribution. What can be concluded at the a 0.10 level of significance level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer v?vSelect an answer v (please enter a decimal) H: Select an answer v Select an answer v (Please enter a decimal) b. The test statistic ? = c. The p-value = d. The p-value is ? va e. Based on this, we should Select an answer v the null hypothesis. (please show your answer to 3 decimal places.) (Please show your answer to 4 decimal places.) f. Thus, the final conclusion is that ... O The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude that the mean time to complete the maze for the nine rats is more than the mean time to complete the maze for the eight hamsters. O The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude that the population mean time to complete the maze for rats is more than the population mean time to complete the maze for hamsters. O The results are statistically insignificant at a =0.10, so there is insufficient evidence to conclude that the population mean time to complete the maze for rats is more than the population mean time 27 MacBook Pro 000 000 DII DD F5 F7 F8 F9 F10 F11 F12 $ & ( ) 5 6 7 %3D R Y U P ム * CO く ト
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