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: 18, 37, 27, 34, 27, 41, 29, 36, 40 Hamsters: 29, 34, 39, 15, 45, 39, 41, 49, 22, 40 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: Ho: Select an answer v ? Select an answer v (please enter a decimal) H1: Select an answer v? 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 (Please show your answer to 4 decimal places.) e Based on this we should Select an answer vthe null hypothesis.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.4: Scatter Plots And Line Of Fit
Problem 14HP
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Hints
D (135) H X
S Hints
O Hints
D (135) F X
O (135) F X O (135) C X
O (135) C X
O (135) C X
assessment/showtest.php?action=skip&to=5
Compiete ie maze 1oI lnaisters.
O The 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 less than the population mean time to
complete the maze for hamsters.
O The results are statistically insignificant at a = 0.01, so there is statistically significant evidence to
conclude that thẹ population mean time to complete the maze for rats is equal to the population
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mean time to complete the maze for hamsters.
g. Interpret the p-value in the context of the study.
Olf the sample mean time to complete the maze for the 9 rats is the same as the sample mean time to
complete the maze for the 10 hamsters and if another 9 rats and 10 hamsters are observed then there
would be a 22.67% chance of concluding that the mean time to complete the maze for the 9 rats is at
least 3.2 seconds less thán the mean time to complete the maze for the 10 hamsters.
O There is a 22.67% chance that the mean time to complete the maze for the 9 rats is at least 3.2
seconds less than the mean time to complete the maze for the 10 hamsters.
Olf 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 10 hamsters are observed then there
would be a 22.67% chance that the mean time to complete the maze for the 9 rats would be at least
3.2 seconds less than the mean time to complete the maze for the 10 hamsters.
O There is a 22.67% chance of a Type I error.
h. Interpret the level of significance in the context of the study.
O There 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 9 rats and 10 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 less than the population mean time to complete the maze for hamsters
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 10 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 9 rats and 10 hamsters differ from each other.
O There is a 1% chance that the population mean time to complete the maze for rats and hamsters is
the same.
DD
F5
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F9
F10
F11
FL
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7
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Transcribed Image Text:Hints D (135) H X S Hints O Hints D (135) F X O (135) F X O (135) C X O (135) C X O (135) C X assessment/showtest.php?action=skip&to=5 Compiete ie maze 1oI lnaisters. O The 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 less than the population mean time to complete the maze for hamsters. O The results are statistically insignificant at a = 0.01, so there is statistically significant evidence to conclude that thẹ population mean time to complete the maze for rats is equal to the population %3D mean time to complete the maze for hamsters. g. Interpret the p-value in the context of the study. Olf the sample mean time to complete the maze for the 9 rats is the same as the sample mean time to complete the maze for the 10 hamsters and if another 9 rats and 10 hamsters are observed then there would be a 22.67% chance of concluding that the mean time to complete the maze for the 9 rats is at least 3.2 seconds less thán the mean time to complete the maze for the 10 hamsters. O There is a 22.67% chance that the mean time to complete the maze for the 9 rats is at least 3.2 seconds less than the mean time to complete the maze for the 10 hamsters. Olf 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 10 hamsters are observed then there would be a 22.67% chance that the mean time to complete the maze for the 9 rats would be at least 3.2 seconds less than the mean time to complete the maze for the 10 hamsters. O There is a 22.67% chance of a Type I error. h. Interpret the level of significance in the context of the study. O There 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 9 rats and 10 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 less than the population mean time to complete the maze for hamsters 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 10 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 9 rats and 10 hamsters differ from each other. O There is a 1% chance that the population mean time to complete the maze for rats and hamsters is the same. DD F5 F6 F3 F4 F7 F8 F9 F10 F11 FL %24 ( ) 5 7 08.
O (135) F X
O (135) F X
O (135) C X
D (135) C x
O (135) C X
nts
O (135) H X
O Hints
9 Hints
* ES
sessment/showtest.php?action=skip&to=5
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: 18, 37, 27, 34, 27, 41, 29, 36, 40
Hamsters: 29, 34,
39, . 15, 45, 39, 41, 49, 22, 40
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
/1)
a. The null and alternative hypotheses would be:
4/1)
8/1)
.9/1)
Ho: Select an answer v? v Select an answer v (please enter a decimal)
.7/1)
H: Select an answer v? v Select an answer v (Please enter a decimal)
b. The test statistic ?v =
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 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 = 0.01, so there is sufficient evidence to conclude that
the mean time to complete the maze for the nine rats is less than the mean time to complete the
maze for the ten hamsters.
O The 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 less than the population mean time to
complete the maze for hamsters.
O The 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 less than the population mean time to
complete the maze for hamsters.
O The results are statistically insignificant at a = 0.01, so there is statistically significant evidence to
conclude that the nonuilation mean time to comnlete the maze for ratsis caual to the nonulation
DII
DD
F3
F6
F4
F5
F7
F8
F9
F10
F11
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4
7
9.
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Transcribed Image Text:O (135) F X O (135) F X O (135) C X D (135) C x O (135) C X nts O (135) H X O Hints 9 Hints * ES sessment/showtest.php?action=skip&to=5 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: 18, 37, 27, 34, 27, 41, 29, 36, 40 Hamsters: 29, 34, 39, . 15, 45, 39, 41, 49, 22, 40 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 /1) a. The null and alternative hypotheses would be: 4/1) 8/1) .9/1) Ho: Select an answer v? v Select an answer v (please enter a decimal) .7/1) H: Select an answer v? v Select an answer v (Please enter a decimal) b. The test statistic ?v = 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 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 = 0.01, so there is sufficient evidence to conclude that the mean time to complete the maze for the nine rats is less than the mean time to complete the maze for the ten hamsters. O The 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 less than the population mean time to complete the maze for hamsters. O The 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 less than the population mean time to complete the maze for hamsters. O The results are statistically insignificant at a = 0.01, so there is statistically significant evidence to conclude that the nonuilation mean time to comnlete the maze for ratsis caual to the nonulation DII DD F3 F6 F4 F5 F7 F8 F9 F10 F11 2$ & 4 7 9. %3D * 00
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