In: Statistics and Probability
The table provides summary statistics on highway fuel economy of cars manufactured in 2012 (from Exercise 5.32). Use these statistics to calculate a 98% confidence interval for the difference between average highway mileage of manual and automatic cars, and interpret this interval in the context of the data.
Hwy MPG, Automatic | Hwy MPG, Manual | |
---|---|---|
Mean | 22.92 | 27.88 |
SD | 5.29 | 5.01 |
n | 26 | 26 |
lower bound: mpg (please round to two decimal
places)
upper bound: mpg (please round to two decimal
places)
Interpret your confidence interval in the context of the
problem:
Does your confidence interval provide significant evidence for a
difference in the highway fuel efficiency of automatic versus
manual cars? Explain.
Lower bound = - 8.39
Upper bound = - 1.53
Correct option : We can be 98% confident that the difference in average highway mileage of manual and automatic cars is contained within our confidence interval.
Correct option : Yes, since 0 is not contained within our confidence interval.
NOTE: PLEASE LIKE THE ANSWER, IT WILL
ENCOURAGE ME. IF YOU HAVE ANY DOUBTS AND QUERIES ON THIS ANSWER
PLEASE FEEL FREE TO COMMENT BELOW. I WILL REPLY "ASAP" AND PLEASE
DONT DISLIKE THIS ANSWER.
HOPE I ANSWERED YOUR QUESTION.
THANK YOU.........