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katen-ka-za [31]
2 years ago
6

For 50 consecutive days, a process engineer has measured the weight of a component after it has been coated with special paint.

Each day, she takes a sample of 10 components. The average across all 500 components is 45.343019 grams. The average range across all parts is 0.0076382 grams. When constructing an X-bar chart, what would be the centerline, and what would be the upper and lower control limits
Mathematics
1 answer:
Over [174]2 years ago
5 0

Answer:

UCL (X-bar) = X mean+ (A2 x R-bar)

LCL (X-bar) = X mean -(A2 x R-bar)

Center line = Mean

A2 for sample size of 10 = 0.308

X mean = 45.343019

R bar = Average of range = 0.0076382

UCL (X-bar) =45.343019+(0.308*0.0076382) = 45.3453715656 grams

LCL (X-bar) = 45.343019-(0.308*0.0076382) = 45.3406664344 grams

Center line = Mean = 45.343019

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Two different types of tea are sold in your store. If you know 100 cups of tea were sold and one type sold 5 times as much as th
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The answer can not be found from the given information

Step-by-step explanation:

Two different types of tea are sold in your store

  • You know 100 cups of tea were sold
  • One type sold 5 times as much as the other type

We need to find how much of each type of tea were sold

Assume that the two types are x and y

∵ x represents one type of tea

∵ y represents the other type of tea

∵ 100 cups of tea where sold

- Add x and y, then equate the sum by 100

∴ x + y = 100 ⇒ (1)

∵ x type is 5 times as much as y type

∴ x = 5y ⇒ (2)

Now we have a system of equations to solve it

Substitute x in equation (1) by equation (2)

∴ 5y + y = 100

∴ 6y = 100

- Divide both sides by 6

∴ y = 16.67

<em>But you know number cups must be whole numbers</em>

The number cups can be 102 <em>OR</em> one type is 4 times as much as the other type

If the number of cups is 102, then

85 cups of one type and 17 cups of the other type were sold

If one type is 4 times as much as the other type, then

80 cups of one type and 20 cups of the other type were sold

The answer can not be found from the given information

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

8 0
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