Help with this statistical question. Find and interpret a 95% confidence interva

Question

Help with this statistical question.

Find and interpret a 95% confidence interval for the gas mileage of 2010 vehicles. Select the correct choice below and fill in the answer boxes within your choice.

(Round to two decimal places as needed. Use ascending order.)

Data on the fuel economy of several 2010 model vehicles are given in the accompanying table. Complete parts (a) and (b) below Click the icon to view the table of fuel economy data. a Find and interpret a 95% confidence interval for the gas mileage of 2010 vehicles. Select the correct choice below and fill in the answer boxes within your choice (Round to two decimal places as needed. Use ascending order.) 0 A. One is 95% confident that the gas mileage of a randomly selected car like the ones in the sample is between mpg and O B. 95% of all cars like the ones in the sample have gas mileages between mpg and mpg @c The true mean gas mileage for cars like the ones!n the sample is between.mpg and mpg 95% of the time ( D. One is 95% confident that the true mean gas mileage for cars like the ones the sample is between mpg and m pg Table of mpg values mpg Car | mpg | 29 31 27 20 26 30 28 36 28 25 21 37 21 10 12 13 14 15 Click to select and enter your answer(s) and then click Check Answer.

Explanation / Answer

The statistical software output for this problem is:

One sample T confidence interval:
: Mean of variable

95% confidence interval results:

Hence,

95% confidence interval will be:

Option D; (24.66, 30.54)

Variable Sample Mean Std. Err. DF L. Limit U. Limit Data 27.6 1.3690455 14 24.663689 30.536311

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