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I am stuck on Problem D #6-9. 6. Using the population's mean and standard deviation for productivity at the Norcross plant (from #1), compute the

I am stuck on Problem D #6-9.

6. Using the population's mean and standard deviation for productivity at the Norcross plant (from #1), compute the probability that worker productivity is less than 100.

7. Using the population's mean and standard deviation for productivity at the Norcross plant (from #1), compute the probability that worker productivity is greater than 110.

8. Using the population's mean and standard deviation for productivity at the Dallas plant (from #2), what is the probability that a worker's productivity is less than 100 or greater than 110?

9. Compare and contrast the probabilities of productivity at each plant being less than 100 or greater than 110 (from #7 and #8). Discuss your findings and interpret results

This immediate table was the findings I calculated for questions 1-5

Mean Norcross 102.35 Std Dev 3.68
Mean Dallas 100.21 Std Dev 4.01
99.7, 98.3, 97.2, 98.8, 98.6, 97.3, 97.3, 93.5, 95.5, 95.2
Mean Sample Norcross 97.14 Std Dev 1.9
Normal Probabilities
Common Data
Mean 7
Standard Deviation 2
Probability for a Range
Probability for X <= From X Value 7
X Value 7 To X Value 9
Z Value =STANDARDIZE(B8,B4,B5) ="Z Value for " &E7 =STANDARDIZE(E7,B4,B5)
="P(X<="&B8&")" =NORMDIST(B8,B4,B5,TRUE) ="Z Value for " & E8 =STANDARDIZE(E8,B4,B5)
="P(X<="&E7&")" =NORMDIST(E7,B4,B5,TRUE)
Probability for X > ="P(X<="&E8&")" =NORMDIST(E8,B4,B5,TRUE)
X Value 9 ="P("&E7&"<=X<="&E8&")" =ABS(E12-E11)
Z Value =STANDARDIZE(B13,B4,B5)
="P(X>"&B13&")" =1-NORMDIST(B13,B4,B5,TRUE) Find X and Z Given Cum. Pctage.
Cumulative Percentage 0.1
="Probability for X<"&B8&" or X >"&B13 Z Value =NORMSINV(E16)
="P(X<"&B8&" or X >"&B13 & ")" =B10+B15 X Value =NORMINV(E16,B4,B5)

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