Question

Problem #4: Consider the following data. [10 marks] 22, 27, 37, 33, 34, 38, 23 (a) If you were to construct a normal probability plot by hand for the above data what are the numerical values (in order) of the first five numbers that would go on the x-axis? Separate your answers with a comma. (Read the last two pages of this example for a description of the normal probability plot.) For example, if your data was the same as the last page of this example then you would enter the following numbers from Step 4 (on the last page) into the answer box (note that spaces don't matter): 4, 4, 7, 7, 9 (b) If you were to construct a normal probability plot by hand for the above data what are the numerical values (in order) of the first five numbers that would go on the y-axis? Separate your answers with a comma. (See the last two pages of this example for a description of the normal probability plot.) For example, if your data was the same as the data on the last page of this example then you would enter the following numbers from Step 4 (on the last page) into the answer box (note that spaces don't matter): -1.83, -1.28, -0.97, -0.73, -0.52 Problem #4(a): first five x-values Problem #4(b): first five y-values (answers rounded to 2 decimals)

Answer 1

putting above data in ascending order:

		(i-0.5)/n	y ordinalte
S.no	x	percentile	z score
1	22	0.0714	-1.47
2	23	0.2143	-0.79
3	27	0.3571	-0.37
4	33	0.5000	0.00
5	34	0.6429	0.37
6	37	0.7857	0.79
7	38	0.9286	1.47

a) first 5 x values are 22,23 ,27 ,33,34

b) first 5 y values are : -1.47 , -0.79,-0.37, 0.00, 0.37