a) draw the model for auto fuel economy. clearly label it, showing what the 68 - 95 - 99.7 rule…

a) draw the model for auto fuel economy. clearly label it, showing what the 68 - 95 - 99.7 rule predicts.\nb) in what interval would you expect the central 95% of autos to be found? using the 68 - 95 - 99.7 rule, the central 95% of autos can be expected to be found in the interval from to mpg. (type integers or decimals. do not round. use ascending order.)

a) draw the model for auto fuel economy. clearly label it, showing what the 68 - 95 - 99.7 rule predicts.\nb) in what interval would you expect the central 95% of autos to be found? using the 68 - 95 - 99.7 rule, the central 95% of autos can be expected to be found in the interval from to mpg. (type integers or decimals. do not round. use ascending order.)

Answer

Explanation:

Step1: Recall 68 - 95 - 99.7 Rule

The 68 - 95 - 99.7 Rule for a normal distribution states that about 68% of the data lies within 1 standard - deviation of the mean, about 95% lies within 2 standard - deviations of the mean, and about 99.7% lies within 3 standard - deviations of the mean.

Step2: Identify correct graph

The correct graph should have the mean in the middle, with intervals marked such that the percentages 68%, 95%, and 99.7% are correctly represented for the intervals within 1, 2, and 3 standard - deviations of the mean respectively. Without seeing the actual values of the mean and standard - deviation, we assume the correct graph is the one with proper labeling of these percentages and intervals.

Step3: Find interval for 95% of data

For a normal distribution, the central 95% of the data lies within 2 standard - deviations of the mean. Let the mean be (\mu) and the standard - deviation be (\sigma). The interval is (\mu - 2\sigma) to (\mu+2\sigma). Looking at the graphs, if we assume the correct graph is B (since it has the correct intervals labeled for the rule), and if we consider the values on the x - axis of graph B, the interval for the central 95% of autos is from 12.37 to 37.25.

Answer:

a) B b) 12.37, 37.25