The expression "Rich Corinthian Leather" one of the best descriptions in the English language. A sample of individuals was asked to rate this expression from 0 ("It's as luxurious as a bowl of dog snot") to 50 ("Only those diamond commercials with the silhouettes seem more luxurious"). These are the data gathered:

2 3 5 5 6 6 7 9 9 10 11 12 12 12 14 15 16 16 16 19 20 22 23 23 23 23 24 25 25 26 27 27 28 30 31 32 33 33 33 33 34 36 37 37 38 38 38 39 39 40 40 41 42 43 43 45 46 4 47

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a)What is the level of measurement (nominal, ordinal, interval, ratio) for the data above (Explain)?

b)Based on the level of measurement, which measure of central tendency would you consider the most useful (and why)?

c)Assume the data is interval/ratio data (it may not be interval/ratio data, but assume it is). What are the mean, median, and mode for this data set? No need to show your work

d)What is the MAD for this data set? No need to show your work.

e)What luxuriance rating defines the 36^th percentile (don't assume normality)? Use the averaging method from your textbook in your computations. Show your work (i.e. don't use Excel).

f)What luxuriance rating defines the 68^th percentile (don't assume normality)? Use the interpolation method we saw in class. Show your work (i.e. don't use Excel).

g)Create a 95% confidence interval estimate for the mean rating for the population-based on this sample.