MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Transcribed Image Text: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 studv, 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)
H1: Select an answer v Select an answer v v (Please enter a decimal)
Select an answer
b. The test statistic ?v=
(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 ? va
e. Based on this, we should Select an answer v the null hypothesis.
f. Thus, the final conclusion is that ...
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 oonclude
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.
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 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
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 sample
mean time to complete the maze for these 8 rats and 8 hamsters differ from each other.
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