question archive Auto pistons at Wemming? Chung's plant in Shanghai are produced in a forging? process, and the diameter is a critical factor that must be controlled
Auto pistons at Wemming? Chung's plant in Shanghai are produced in a forging? process, and the diameter is a critical factor that must be controlled
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Auto pistons at Wemming? Chung's plant in Shanghai are produced in a forging? process, and the diameter is a critical factor that must be controlled. From sample sizes of 10 pistons produced each? day, the mean and the range of this diameter have been as? follows:Day Mean Bold x overbar ?(mm) Range R ?(mm)
1 158.9 4.0
2 151.2 4.6
3 155.6 4.3
4 155.5 5.0
5 154.6 4.3
a) What is the value of x ?
1 158.9 4.0
2 151.2 4.6
3 155.6 4.3
4 155.5 5.0
5 154.6 4.3
a) What is the value of x ?
b)What is the value of R?
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Answer:
a. X = 155.2
b. R = 4.4
Step-by-step explanation:
a. Calculating the value of x.
The value of x is the mean of the mean observation; i.e. the mean column
Mean is calculated as: the summation of all observation divided by the number of observations.
Summation of Observation = 158.9 + 151.2 + 155.6 + 155.5 + 154.6
Summation of Observation = 775.8
Number of Observations = 5
X = Mean = 775.8/5
X = 155.16
X = 155.2 ----- Approximated to 1 decimal place
b. Calculating the value of R.
The value of R is the mean/average of the Range
Mean is calculated as: the summation of all observation divided by the number of observations.
Summation of Observation = 4.0 + 4.6 + 4.3 + 5.0 + 4.3
Summation of Observation = 22.2
Number of Observations = 5
R = Mean = 22.2/5
R = 4.44
R = 4.4 ----- Approximated to 1 decimal place
