7.32Fuel efficiency t test(a) Describe the distribution using graphical methods. Is it appropriate to analyze these data using methods based on Normal distributions? Explain why or why not.(b) Find the mean, standard deviation, standard error, and margin of error for 95% confidence.(c) Report the 95% confidence interval for μ, the mean miles per gallon for this vehicle based on these data. 7.32 Fuel efficiency t test. Computers in some vehicles calculate various quantities relatedto performance. One of these is the fuel efficiency, or gas mileage, usually expressed as miles pergallon (mpg). For one vehicle equipped in this way, the miles per gallon were recorded each time thegas tank was filled, and the computer was then reset. Here are the mpg values for a random sampleof 20 of these records:MPG41.550.736.637.334.245.048.043.247.742.243.244.648.446.446.839.237.343.544.343.3

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Description: 7.32Fuel efficiency t test(a) Describe the distribution using graphical methods. Is it appropriate to analyze these data using methods based on Normal distributions? Explain why or why not.(b) Find the mean, standard deviation, standard error, and ma

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7.32

Fuel efficiency t test

(a) Describe the distribution using graphical methods. Is it appropriate to analyze these data using methods based on Normal distributions? Explain why or why not.

(b) Find the mean, standard deviation, standard error, and margin of error for 95% confidence.

7.32 Fuel efficiency t test. Computers in some vehicles calculate various quantities related
to performance. One of these is the fuel efficiency, or gas mileage, usually expressed as miles per
gallon (mpg). For one vehicle equipped in this way, the miles per gallon were recorded each time the
gas tank was filled, and the computer was then reset. Here are the mpg values for a random sample
of 20 of these records:
MPG
41.5
50.7
36.6
37.3
34.2
45.0
48.0
43.2
47.7
42.2
43.2
44.6
48.4
46.4
46.8
39.2
37.3
43.5
44.3
43.3

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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