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: 12, 30, 34, 42, 28, 20, 47, 33, 24, 53 Hamsters: 33, 29, 23, 15, 19, 20, 42, 25 Assume that both populations follow a normal distribution. What can be concluded at the a = 0.01 level of significance level of significance?
Correlation
Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.
Linear Correlation
A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related.
Regression Analysis
Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.
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![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: 12, 30, 34,
42, 28,
20, 47, 33, 24, 53
Hamsters: 33, 29,
23,
15, 19,
20,
42,
25
Assume that both populations follow a normal distribution. What can be concluded at the a = 0.01 level of
significance level of significance?
For this study, we should use
Select an answer
a. The null and alternative hypotheses would be:
Но:
Select an answer
Select an answer
(please enter a decimal)
?
H1:
Select an answer
(Please enter a decimal)
?
Select an answer
b. The test statistic ?
(please show your answer to 3 decimal places.)
c. The p-value =
d. The p-value is ?
(Please show your answer to 4 decimal places.)
e. Based on this, we should Select an answer
O the null hypothesis.
f. Thus, the final conclusion is that
OThe results are statistically significant at a = 0.01, 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.
OThe results are statistically insignificant at a = 0.01, 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.
OThe results are statistically insignificant at a = 0.01, 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
to complete the maze for hamsters.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc961445a-5e57-4084-b25a-59122b804a0a%2F8cce0536-3576-4976-ab6f-0918717e9ae4%2F2rd3of_processed.png&w=3840&q=75)
![to complete the maze for hamsters.
OThe results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that
the mean time to complete the maze for the ten rats is more than the mean time to complete the
maze for the eight hamsters.
g. Interpret the p-value in the context of the study.
OThere is a 10.44% chance of a Type I error.
Olf the sample mean time to complete the maze for the 10 rats is the same as the sample mean time to
complete the maze for the 8 hamsters and if another 10 rats and 8 hamsters are observed then there
would be a 10.44% chance of concluding that the mean time to complete the maze for the 10 rats is
at least 6.6 seconds longer than the mean time to complete the maze for the 8 hamsters.
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 10 rats and 8 hamsters are observed then there would
be a 10.44% chance that the mean time to complete the maze for the 10 rats would be at least 6.6
seconds longer than the mean time to complete the maze for the 8 hamsters.
There is a 10.44% chance that the mean time to complete the maze for the 10 rats is at least 6.6
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.
OThere is a 1% 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 10 rats and 8 hamsters are observed then there would
be a 1% 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
OThere is a 1% chance that the rat will eat the hamster.
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 10 rats and 8 hamsters are observed, then there
would be a 1% chance that we would end up falsely concluding that the sample mean time to
complete the maze for these 10 rats and 8 hamsters differ from each other.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc961445a-5e57-4084-b25a-59122b804a0a%2F8cce0536-3576-4976-ab6f-0918717e9ae4%2Fs7lx3xe_processed.png&w=3840&q=75)
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