In a random sample of ten ​people, the mean driving distance to work was 21.3 miles and the standard deviation was 4.5 miles. Assume the population is normally distributed and use the​ t-distribution...




In a random sample of
ten

​people, the mean driving distance to work was
21.3

miles and the standard deviation was
4.5

miles. Assume the population is normally distributed and use the​ t-distribution to find the margin of error and construct a
95​%

confidence interval for the population mean
μ.

Interpret the results.










Identify the margin of error.



enter your response here







​(Round to one decimal place as​ needed.)

Construct a
95​%

confidence interval for the population mean.


,

​(Round to one decimal place as​ needed.)

Interpret the results. Select the correct choice below and fill in the answer box to complete your choice.

​(Type an integer or a decimal. Do not​ round.)






A.


With
enter your response here​%

​confidence, it can be said that the population means driving distance to work​ (in miles) is between the interval's endpoints.






B.



enter your response here​%

of all random samples of
ten

people from the population will have a mean driving distance to work​ (in miles) that is between the interval's endpoints.






C.


It can be said that
enter your response here​%

of the population has a driving distance to work​ (in miles) that is between the interval's endpoints.






D.


With
enter your response here​%

​confidence, it can be said that most driving distances to work​ (in miles) in the population are between the interval's endpoints.








Jun 01, 2022
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