The given scores represent the number of cars rejected in one day at an automobile assembly plant. The 50 score correspond to 50 different randomly selected days.
Treat this data set as a sample and find the (a) mean, (b) median, (c) mode, (d) midrange, (e) standard deviation, (f) variance, (g) range for the given data. (h.) Construct a histogram, (i.) find the standard scores for these number of rejects:
8, 25, 61, 97 and categorize each as ordinary or unusual.
29 58 80 35 30 23 88 49 35 97
12 73 54 91 45 28 61 61 45 81
83 23 71 63 47 87 36 8 94 26
95 63 86 42 22 44 8 27 20 33
28 91 87 15 67 10 45 67 26 19
Next assume that you are looking at purchasing this plant. With this data would you be able to make an educated guess (test) that would allow you to evaluate the claim of the seller that this plant has fewer than 47 autos rejected per day. Evaluate this at any level you choose but you need to explain what level you are using and why.