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A travel website would like to estimate the difference between the average rental price of a...

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Statistics

A travel website would like to estimate the difference betweenthe average rental price of a car with automatic transmissionversus the average rental price of a car with manual transmissionat a certain airport. The table below shows the average​ one-weekrental prices for two random​ samples, as well as the populationstandard deviations and sample sizes for each type of car. Completeparts a and b.

Sample mean

Sample size

Population standard deviation

Automatic

​$411.90

54

​$23

Manual

​$355.90

34

​$27

a. Construct a

9595​%

confidence interval to estimate the difference in the averagecost of a​ one-week rental between these two types of cars at theairport.

Let the cars with automatic transmissions be population 1 andthe cars with manual transmissions be population 2.

The confidence interval is

left parenthesis $ nothing comma $ nothing rightparenthesis$,$.

​(Round to the nearest cent as​ needed.)

Answer & Explanation Solved by verified expert
3.6 Ratings (530 Votes)
Pooled Variance sp sqrts12n1 s22n2 sp sqrt52954    See Answer
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