Answer:
Step-by-step explanation:
1) As the sample size is 1,000 and there are 23 defectives in the output of the sample collected from Machine #1, the answer is 23/1000=0.023.
2) Estimate of the process proportion of defectives is the average of the proportion of defectives from all samples. In this case, it is : (23+15+29+13)/{4*(1000)}=80/4000=0.02.
3) Estimate of the Standard Deviation: Let us denote the mean (average) of the proportion of defectives by p. Then, the estimate for the standard deviation is : sqrt{p*(1 - p)/n}. Where n is the sample size. Putting p = 0.02, and n = 1000, we get: σ=0.0044.
4) The control Limits for this case, at Alpha risk of 0.05 (i.e. equivalent to 95% confidence interval), can be found out using the formulas given below:
Lower Control Limit : p - (1.96)*σ = 0.02 - (1.96)*0.0044=0.0113.
& Upper Control Limit: p + (1.96)*σ = 0.02 + (1.96)*0.0044 = 0.0287.
5) The proportion defective in each case is : Machine #1: 0.023; Machine #2: 0.015; Machine# 3: 0.029; Machine# 4: 0.013. For the Lower & Upper control limits of 0.014 & 0.026; It is easy to see that Machines #3 & #4 appear to be out of control.
Answer:
∠X = 48°
∠Y = 96°
∠Z = 36°
Step-by-step explanation:
All angles of a triangle are equal to 180.
(3.2n) + (6.4n) + (2.4n) = 180
12n = 180
n = 15
Now, we will solve for each angle.
∠X = 48°
3.2n
3.2(15)
48°
∠Y = 96°
6.4n
6.4(15)
96°
∠Z = 36°
2.4n
2.4(15)
36°
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Answer:
I hope this is good enough:
148/x=100/108(148/x)*x=(100/108)*x -148=0.925925925926*x
(0.925925925926) to get x148/0.925925925926=x 159.84=x x=159.84
