Do rats take the same amount of time on average than hamsters to travel through a maze? The tab shows the times in seconds that the rats and hamsters took. Rats: 36, 34, 27, 30, 26, 6, 46, 38 Hamsters: 17, 33, 38, 34, 28, 47, 49, 40, 31 Assume that both populations follow a normal distribution. What can be concluded at the a = 0.1 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 answerv Select an answerv Select an answerv (please enter a decimal) H1: Select an answerv Select an answerv Select an answerv (Please enter a decimal) 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.) %3D

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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: 36,
34,
27,
30,
26,
6,
46,
38
Hamsters: 17,
33,
38,
34,
28,
47,
49,
40,
31
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 answerv Select an answerv Select an answerv (please enter a decimal)
H: Select an answerv Select an answervSelect an answerv (Please enter a decimal)
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 ?v a
e. Based on this, we should Select an answerv 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 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 = 0.10, so there is sufficient evidence to conclude
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 nine hamsters.
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.
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 not the same as the population
mean time to complete the maze for hamsters.
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: 36, 34, 27, 30, 26, 6, 46, 38 Hamsters: 17, 33, 38, 34, 28, 47, 49, 40, 31 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 answerv Select an answerv Select an answerv (please enter a decimal) H: Select an answerv Select an answervSelect an answerv (Please enter a decimal) 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 ?v a e. Based on this, we should Select an answerv 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 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 = 0.10, so there is sufficient evidence to conclude 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 nine hamsters. 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. 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 not the same as the population mean time to complete the maze for 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 not the sarne as the population
mean time to complete the 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 to complete the maze for hamsters and if another 8 rats and 9 hamsters are observed
then there would be a 37.56% chance that the mean time to complete the maze for the 8 rats
would differ by at least 4.8 seconds compared to the mean time to complete the maze for the
9 hamsters.
O There is a 37.56% chance that the mean time to complete the maze for the 8 rats differs by at
least 4.8 seconds compared to the mean time to complete the maze for the 9 hamsters.
O There is a 37.56% chance of a Type I error.
O If the samnple mean time to complete the maze for the 8 rats is the same as the sample mean
time to complete the maze for the 9 hamsters and if another 8 rats and 9 hamsters are
observed then there would be a 37.56% chance of concluding that the mean time to complete
the maze for the 8 rats differs by at least 4.8 seconds compared to the mean time to complete
the maze for the 9 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 9 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 8 rats and 9 hamsters differ from each other.
O There is a 10% chance that the population mean time to complete the maze for rats and
hamsters is the same.
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 9 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 not the same as the population mean time to
complete the maze for hamsters
O There is a 10% chance that the rat will eat the hamster.
Hint: Helpful Video [+1
Transcribed Image Text: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 not the sarne as the population mean time to complete the 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 to complete the maze for hamsters and if another 8 rats and 9 hamsters are observed then there would be a 37.56% chance that the mean time to complete the maze for the 8 rats would differ by at least 4.8 seconds compared to the mean time to complete the maze for the 9 hamsters. O There is a 37.56% chance that the mean time to complete the maze for the 8 rats differs by at least 4.8 seconds compared to the mean time to complete the maze for the 9 hamsters. O There is a 37.56% chance of a Type I error. O If the samnple mean time to complete the maze for the 8 rats is the same as the sample mean time to complete the maze for the 9 hamsters and if another 8 rats and 9 hamsters are observed then there would be a 37.56% chance of concluding that the mean time to complete the maze for the 8 rats differs by at least 4.8 seconds compared to the mean time to complete the maze for the 9 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 9 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 8 rats and 9 hamsters differ from each other. O There is a 10% chance that the population mean time to complete the maze for rats and hamsters is the same. 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 9 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 not the same as the population mean time to complete the maze for hamsters O There is a 10% chance that the rat will eat the hamster. Hint: Helpful Video [+1
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