Question

# show data visualizations and comment . create data visualizations before and after the results that you...

show data visualizations and comment .

create data visualizations before and after the results that you would present for the following:

1)Analyze the correlation for the following data:

 Orifice Diameter Radon Released (%) 0.37 80 83 83 85 0.51 75 75 79 79 0.71 74 73 76 77 1.02 67 72 74 74 1.40 62 62 67 69 1.99 60 61 64 66

2)A company operates four machines three shifts each day. From production records, the following data on the number of breakdowns are collected:

 Shift Machines A B C D 1 41 20 12 16 2 31 11 9 14 3 15 17 16 10

Test the hypothesis (using ? = 0.05) using the Chi-Square Test that breakdowns are independent of the shift. Find the p-value for this test.

Ans:

2)

Ho:Breakdowns are independent of the shift.

Ha:Breakdowns are not independent of the shift.

Expected count=row sum*column sum/overall toal

 Observed count(fo) Shift/Machines A B C D Total 1 41 20 12 16 89 2 31 11 9 14 65 3 15 17 16 10 58 Total 87 48 37 40 212 Expected count(fe) Shift/Machines A B C D Total 1 36.52 20.15 15.53 16.79 89 2 26.67 14.72 11.34 12.26 65 3 23.80 13.13 10.12 10.94 58 Total 87 48 37 40 212 Chi square=(fo-fe)^2/fe Shift/Machines A B C D Total 1 0.55 0.00 0.80 0.04 1.39 2 0.70 0.94 0.48 0.25 2.37 3 3.25 1.14 3.41 0.08 7.89 Total 4.50 2.08 4.70 0.36 11.65

Test statistic:

Chi square score=11.65

df=(3-1)*(4-1)=6

p-value=CHIDIST(11.65,6)=0.0703

As,p-value>0.05,we fail to reject the null hypothesis and we can conclude that breakdowns are independent of the shift.

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