(Use Chi-square Goodness-of-Fit Test)

A steel pipe company recently developed a new pipe product for a customer, According to specications the pipe is supposed to have an average outside diameter of 2 Di] Inches With a standard deviation equal to 010 inch, and the distribution of outside diameters is to be normally distributed, Before going into full-scale production, the company selected a random sample of 30 sections of pipe from the initial test run' as shown in the accompanying tabte Complete parts a and b below E Click the icon to View the data table. C. H0: The pipe diameter is not normally distributed with p: 2.00 and o = 0.10 HA The pipe diameter is normally distributed with [1:200 and (x: 0,10, 3 D. H\": The pipe diameter is normally distributed with p : 2,00 and cs : 010, HA' The pipe diameter is not normally distributed with [12200 and u: 010, Find the observed frequency of each class Observed Class Frequency Under 1.9 3 1,9 to under 20 14 2,6 to under 21 T 2.1 and over 6 The test statistic is 12 :ID, (Round to three decimal places as needed ) Diameter Diameter Pipe Section (inches) Pipe Section (inches) 2.04 16 1.96 2.13 17 1.88 2.07 18 1.99 1.98 19 2.12 1.91 20 1.91 2.06 21 1.91 2.19 22 1.95 2.01 23 2.19 2.06 24 1.95 1.98 25 1.92 1.94 26 2.08 12 1.91 27 1.82 13 2.11 28 1.94 14 2.02 29 1.95 15 2.11 30 1.81