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Diano4ka-milaya [45]
3 years ago
8

The time needed for checking in at a hotel is to be investigated. Historically, the process has had a standard deviation equal t

o .146. The means of 39 samples of n = 21 are Sample Mean Sample Mean Sample Mean Sample Mean 1 3.86 11 3.88 21 3.84 31 3.88 2 3.90 12 3.86 22 3.82 32 3.76 3 3.83 13 3.88 23 3.89 33 3.83 4 3.81 14 3.81 24 3.86 34 3.77 5 3.84 15 3.83 25 3.88 35 3.86 6 3.83 16 3.86 26 3.90 36 3.80 7 3.87 17 3.82 27 3.81 37 3.84 8 3.88 18 3.86 28 3.86 38 3.79 9 3.84 19 3.84 29 3.98 39 3.85 10 3.80 20 3.87 30 3.96Construct an x¯ -chart for this process with three-sigma limits. (Do not round intermediate calculations. Round your answers to 2 decimal places.)

Mathematics
1 answer:
WITCHER [35]3 years ago
8 0

Answer:

See Attachment

Step-by-step explanation:

3 sigma= 3×0.146

           = 0.438

for upper limit= sample mean + 3 sigma

for lower limit= sample mean - 3 sigma

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Consider the following problem: A farmer with 750 ft of fencing wants to enclose a rectangular area and then divide it into four
gregori [183]

Answer and step-by-step explanation:

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However, the dividers change the process to find this maximum somewhat.

Letting x represent two sides of the rectangle and the 3 parallel dividers, we have 2x+3x = 5x.

Letting y represent the other two sides of the rectangle, we have 2y.

We know that 2y + 5x = 750.

Solving for y, we first subtract 5x from each side:

2y + 5x - 5x = 750 - 5x

2y = -5x + 750

Next we divide both sides by 2:

2y/2 = -5x/2 + 750/2

y = -2.5x + 375

We know that the area of a rectangle is given by

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A = xy

Substituting the expression for y we just found above, we have

A = x(-2.5x+375)

A = -2.5x² + 375x

This is a quadratic equation, with values a = -2.5, b = 375 and c = 0.

To find the maximum, we will find the vertex.  First we find the axis of symmetry, using the equation

x = -b/2a

x = -375/2(-2.5) = -375/-5 = 75

Substituting this back in place of every x in our area equation, we have

A = -2.5x² + 375x

A = -2.5(75)² + 375(75) = -2.5(5625) + 28125 = -14062.5 + 28125 = 14062.5

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4 years ago
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Annette [7]

Answer:

A.

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