# What is the shape of the highway fuel efficiency distribution? Why? (NOTE 1: Skewed right must select>, skewed left must select<, etc.) NOTE 2: The shape of the distribution is based on the formatted 4-decimal numbers showing in your output.) Question 6 because Question 7 rule predicts that lpercent of the engine size data should lie between 1.2774 and 3.7797 liters, which aret/. standard deviation(s) away from the mean Question 8 What varied the most in this study, engine size or highway fuel efficiency? Prove using the best measure of variability! varied the most. Proof: Engine Size Hwy Fuel Efficiency

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

Engine Size Hwy Fuel Efficiency

2.60 29.45

1.50 27.10

1.60 30.63

3.30 36.52

2.60 45.95

3.20 42.41

3.00 35.35

2.00 36.52

2.20 34.17

1.60 31.81

1.80 32.99

1.70 35.35

2.40 32.99

2.60 31.81

3.40 24.74

1.90 24.74

2.20 27.10

3.10 25.92

1.70 29.45

2.80 31.81

2.20 43.59

2.70 47.13

2.10 41.24

3.10 35.35

3.40 30.63

2.40 29.45

3.40 37.70

2.30 25.92

3.20 29.45

3.10 24.74

2.00 40.06

3.00 44.77

3.40 35.35

2.10 32.99

2.50 38.88

3.00 34.17

3.10 32.99

2.50 31.81

2.90 27.10

1.50 27.10

1.50 37.70

1.40 34.17

2.60 28.28

3.30 27.10

2.30 40.06

3.20 42.41

2.20 34.17

2.80 31.81

1.70 41.24

3.30 38.88

3.30 35.35

3.40 37.70

3.30 28.28

1.90 28.28

3.20 41.24

1.80 27.10

3.30 36.52

2.40 36.52

3.30 34.17

2.40 32.99

1.90 34.17

1.40 40.06

3.10 25.92

2.20 36.52

1.80 28.28

3.30 41.24

2.40 45.95

2.50 31.81

2.30 37.70

2.40 38.88

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