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, AutomaticHwy MPG, ManualMean22.9227.88SD5.295.01n262635-25-15-automaticmanualHwy MPGlower 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:O We can be 98% confident that our confidence interval contains the difference in average highwaymileage of the cars in our sample is contained within our confidence intervalO We can be 98% confident that the difference in average highway mileage of manual and automaticcars is contained within our confidence interval98% of manual and automatic cars will have a difference in highway mileage that falls within ourconfidence intervalDoes your confidence interval provide significant evidence for a difference in the highway fuel efficiency ofautomatic versus manual cars? Explain.O no, since 0 is not contained within our confidence intervalyes, since highway mileage cannot be negativeyes, since 0 is not contained within our confidence intervalOno, since negative highway mileage doesn't make sense

Given data, Automatic Manual Mean 22.92 27.88 SD 5.29 5.01 n 26 26 Hypothesis: H0:μd=0H1:μd≠0 μd=μAutomatic-μManual Confidence interval: Procedure for confidence interval of 2 sample t test using TI-83+ calculator: Select STAT>TESTS>2-sample t Int Select Input as STAT Enter x1 as 22.92, s1 as 5.29 n1 as 26, x2 as 27.88, s2 as 5.01 and n2 as 26. And then select C-level as .98, pooled as NO, select calculate. Output screen: From the above output, 98% confidence interval is (-8.39, -1.53). Lower bound: -8.39 mpg Upper bound: -1.53 mpg Interpretation: we can be 98% confident that the difference in average highway mileage of manual and automatic cars is contained within our confidence interval. Significance: Decision rule for the confidence interval method: If the confidence interval does not contain 0, then the null hypothesis is rejected. Otherwise, fail to reject null hypothesis. Therefore since the interval does not contain zero. Thus, null hypothesis is rejected. Correct option is, yes, since 0 is not contained within our confidence interval.