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. Rats: 36, 35, 22, 42, 25, 14, 31, 14 Hamsters: 41, 37, 12, 46, 39, 46, 38, 45, 27, 29 Assume that both populations follow a normal distribution. What can be concluded at the a = 0.05 level of significance level of significance? Cor thi.

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f. Thus, the final conclusion is that ...
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.
%3D
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 less than the mean time to
complete the maze for the ten 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 less than the population mean
time to complete the maze for hamsters.
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 less than the
population mean time to complete the maze for hamsters.
!!
g. Interpret thep-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 10 hamsters and if another 8 rats and 10 hamsters are
observed then there would be a 5.18% chance of concluding that the mean time to complete
the maze for the 8 rats is at least 8.6 seconds less than the mean time to complete the maze
for the 10 hamsters.
O There is a 5.18% chance of a Type I error.
O There is a 5.18% chance that the mean time to complete the maze for the 8 rats is at least 8.6
seconds less than the mean time to complete the maze for the 10 hamsters.
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 10 hamsters are observed
then there would be a 5.18% chance that the mean time to complete the maze for the 8 rats
would be at least 8.6 seconds less than the mean time to complete the maze for the 10
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 to complete the maze for hamsters and if another 8 rats and 10 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 less than the population mean time to complete
the maze for hamsters
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 10 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 10 hamsters differ from each other,
O There is a 5% chance that the population mean time to complete the maze for rats and
hamsters is the same.
P Type here to search
hp
Transcribed Image Text:f. Thus, the final conclusion is that ... 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. %3D 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 less than the mean time to complete the maze for the ten 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 less than the population mean time to complete the maze for hamsters. 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 less than the population mean time to complete the maze for hamsters. !! g. Interpret thep-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 10 hamsters and if another 8 rats and 10 hamsters are observed then there would be a 5.18% chance of concluding that the mean time to complete the maze for the 8 rats is at least 8.6 seconds less than the mean time to complete the maze for the 10 hamsters. O There is a 5.18% chance of a Type I error. O There is a 5.18% chance that the mean time to complete the maze for the 8 rats is at least 8.6 seconds less than the mean time to complete the maze for the 10 hamsters. 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 10 hamsters are observed then there would be a 5.18% chance that the mean time to complete the maze for the 8 rats would be at least 8.6 seconds less than the mean time to complete the maze for the 10 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 to complete the maze for hamsters and if another 8 rats and 10 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 less than the population mean time to complete the maze for hamsters 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 10 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 10 hamsters differ from each other, O There is a 5% chance that the population mean time to complete the maze for rats and hamsters is the same. P Type here to search hp
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.
Rats: 36, 35,
22,
42,
25,
14,
31,
14
Hamsters: 41, 37,
12,
46,
39,
46,
38,
45,
27,
29
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:
Ho: Select an answer v
Select an answer v Select an answer v (please enter a decimal)
H: Select an answer v
Select an answer v
Select an answer v (Please enter a decimal)
b. The test statistic
(please show your answer to 3 decimal places.)
c. The p-value =
(Please show your answer to 4 decimal places.)
d. The p-value is ? ♥ a
e. Based on this, we should Select an answer
f. Thus, the final conclusion is that ...
the null hypothesis.
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 less than the mean time to
complete the maze for the ten 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 less than the population mean
time to complete the maze for hamsters.
O The results are statistically insignificant at a = 0.05, so there is insufficient evidence to
conclude that the ponuulation mean time to comolete the maze for rats is less than the
P Type here to search
hp
Transcribed Image Text: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. Rats: 36, 35, 22, 42, 25, 14, 31, 14 Hamsters: 41, 37, 12, 46, 39, 46, 38, 45, 27, 29 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: Ho: Select an answer v Select an answer v Select an answer v (please enter a decimal) H: Select an answer v Select an answer v Select an answer v (Please enter a decimal) b. The test statistic (please show your answer to 3 decimal places.) c. The p-value = (Please show your answer to 4 decimal places.) d. The p-value is ? ♥ a e. Based on this, we should Select an answer f. Thus, the final conclusion is that ... the null hypothesis. 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 less than the mean time to complete the maze for the ten 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 less than the population mean time to complete the maze for hamsters. O The results are statistically insignificant at a = 0.05, so there is insufficient evidence to conclude that the ponuulation mean time to comolete the maze for rats is less than the P Type here to search hp
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