AnswersProbability and Statistics with Applications Honors Sem-2-FL-1210300 2024-2025Estimating the Mean Difference

Estimating the Mean Difference Answers

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Calculate the mean difference (Brand A – Brand B) and the standard deviation of the differences.

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
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Answer:

4.96

3

small✔ large

A
small
B
✔ large
4

1020✔ 3050

A
10
B
20
C
✔ 30
D
50
5

✔ metnot met

A
✔ met
B
not met
166908

Tonya would like to construct a 95% confidence interval for the mean difference (Brand A – Brand B) in number of laps completed. Are the conditions for inference met?

Answers:
Random: We have .:paired data from a random experiment
10%::Does not apply
Normal/Large Sample: The sample size is , but the distribution of does not show any strong skewness or outliers. This condition is .:small
Normal/Large Sample: The sample size is , but the distribution of does not show any strong skewness or outliers. This condition is .:differences
Normal/Large Sample: The sample size is , but the distribution of does not show any strong skewness or outliers. This condition is .:met
166909

MetNot met✔ Does not apply

A
Met
B
Not met
C
✔ Does not apply
166910

✔ smalllarge

A
✔ small
B
large
166911

✔ differenceslaps for Brand Alaps for Brand Blaps for Brand A and B

A
✔ differences
B
laps for Brand A
C
laps for Brand B
D
laps for Brand A and B
166912

✔ metnot met

A
✔ met
B
not met
166924

A 99% confidence interval for the mean difference (A – B) in amount of tread remaining is 0.429 mm to 0.471 mm.

Answers:
We are 99% confident that the interval from 0.429 to 0.471 captures the (A – B) in the amount of remaining for all such runners after running 100 miles.:true mean difference
We are 99% confident that the interval from 0.429 to 0.471 captures the (A – B) in the amount of remaining for all such runners after running 100 miles.:tread
166925

✔ treadmilesrunners

A
✔ tread
B
miles
C
runners
166926

A 95% confidence interval for the mean difference (Brand A – Brand B) in number of laps completed is (1.04, 4.96).

Answers:
the confidence interval , so it reasonable to state that there is a difference with regards to the number of laps that can be completed for these two brands of office chairs.:Yes
the confidence interval , so it reasonable to state that there is a difference with regards to the number of laps that can be completed for these two brands of office chairs.:does not contain zero
the confidence interval , so it reasonable to state that there is a difference with regards to the number of laps that can be completed for these two brands of office chairs.:is
166927

contains zero✔ does not contain zerodoes not equal zerodoes equal zero

A
contains zero
B
✔ does not contain zero
C
does not equal zero
D
does equal zero
166928

✔ isis not

A
✔ is
B
is not
166929

A 99% confidence interval for the mean difference (A – B) in amount of tread remaining is 0.429 mm to 0.471 mm.

Answers:
the confidence interval , so it reasonable to claim that there is no significant difference in the amount of tread remaining for these two types of rubber.:No
the confidence interval , so it reasonable to claim that there is no significant difference in the amount of tread remaining for these two types of rubber.:does not contain zero
the confidence interval , so it reasonable to claim that there is no significant difference in the amount of tread remaining for these two types of rubber.:is not
166930

contains zero✔ does not contain zerodoes not equal zerodoes equal zero

A
contains zero
B
✔ does not contain zero
C
does not equal zero
D
does equal zero
166931

is✔ is not

A
is
B
✔ is not

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