Question

Problem #8; Consider the following data 22, 25, 40, 37, 27, 32, 39 (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 #8(a): first five x-values first five y-values (answers rounded to 2 decimals) Problem #8(b):

Answer 1

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solution: four normal probability plot have to arrange the data set in increasing order and then rank them like 1,2, ... up to 7. And then find their cumulative probabilites using the forumla P = -0.5, where i- is the rank that is the position please see the below table n = number of values that i87 Data I isrank) P I Z 92 : 10.071429 | 07:47 10:214286 -0.79 0367143 -0.37 ... 0.5 0.642857 10.87 39 | 6 0785714 10.79 7 10: 928571 1.47 To find z use the standard normal table search the cumulative probability inside the table and then tako the coola esponding t-sare al first five numbers that go on the X-akisara 2.22,25,27,32,37 b) fiocst five numbers thout go on the y-cou's orio -1.47,-0.49 -0:37,0.00,0.37 of is no

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