The Ferrari Formula 1 team wants to assess 5 different new wing designs. For each wing, they record 7 individual lap times and get the results (sample mean and standard deviation) listed in the table. They believe that all wings should produce the same variability in the lap times. 1 69.75 1.10 2 68.56 1.21 3 72.05 0.76 4 69.63 0.90 5 69.73 0.81 5 rows x 2 columns Test whether the different wing designs are essentially equally good, or whether some design(s) is/are different. Use a 9% significance level. P-val number (rtol=0.01, atol=0.0001) O (a) Wing designs are essentially equally good O (b) There is at least one design that is different
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.
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