Find the coordinates of the midpoint of each segment and find the length of each segment

g A milling process has an upper specification of 1.68 millimeters and a lower specification of 1.52 millimeters. A sample of pa

adoni [48]

Complete Question

A milling process has an upper specification of 1.68 millimeters and a lower specification of 1.52 millimeters. A sample of parts had a mean of 1.6 millimeters with a standard deviation of 0.03 millimeters. what standard deviation will be needed to achieve a process capability index f 2.0?

Answer:

The value required is $\sigma = 0.0133$

Step-by-step explanation:

From the question we are told that

The upper specification is $USL = 1.68 \ mm$

The lower specification is $LSL = 1.52 \ mm$

The sample mean is $\mu = 1.6 \ mm$

The standard deviation is $\sigma = 0.03 \ mm$

Generally the capability index in mathematically represented as

$Cpk = min[ \frac{USL - \mu }{ 3 * \sigma } , \frac{\mu - LSL }{ 3 * \sigma } ]$

Now what min means is that the value of CPk is the minimum between the value is the bracket

substituting value given in the question

$Cpk = min[ \frac{1.68 - 1.6 }{ 3 * 0.03 } , \frac{1.60 - 1.52 }{ 3 * 0.03} ]$

=> $Cpk = min[ 0.88 , 0.88 ]$

So

$Cpk = 0.88$

Now from the question we are asked to evaluated the value of standard deviation that will produce a capability index of 2

Now let assuming that

$\frac{\mu - LSL }{ 3 * \sigma } = 2$

So

$\frac{ 1.60 - 1.52 }{ 3 * \sigma } = 2$

=> $0.08 = 6 \sigma$

=> $\sigma = 0.0133$

So

$\frac{ 1.68 - 1.60 }{ 3 * 0.0133 }$

=> $2$

Hence

$Cpk = min[ 2, 2 ]$

So

$Cpk = 2$

So $\sigma = 0.0133$ is the value of standard deviation required

3 0

3 years ago

Simplify. -4 + 12 + (-9) * PLEASE HELP REEEE

timama [110]

Step-by-step explanation:

= -4 + 12 + (-9)

= -4 + 12 - 9

= -4 + 3

= -1

6 0

2 years ago

The average number of newspapers for sale in an airport stand is 15. SD is 6. The average age of the pilots is 36 and SD is 4. W

balu736 [363]

Answer:

The average age of pilots has a lower coefficient of variation, so it is the most consistent data set.

Step-by-step explanation:

The coefficient of variation is used to measure consistency of a data set. It is the standard deviation divided by the mean. The higher the coefficient of variation, the more variable, that is, the least consistent the data set is.

The average number of newspapers for sale in an airport stand is 15. SD is 6.

The consistency is:

$C = \frac{6}{15} = 0.4$

The average age of the pilots is 36 and SD is 4.

The consistency is:

$C = \frac{4}{36} = 0.11$

The average age of pilots has a lower coefficient of variation, so it is the most consistent data set.

4 0

3 years ago

A. 15 B. 10 C. 3/8 D. 1/8

Anna71 [15]

Answer:

D

Step-by-step explanation:

the theoretical probability is a fancy term for an even amount of both, which would be 20 flips landing on H, and 20 landing on T. Since the question is asking what's the difference between the theoretical probability and the experimental results, you'd take 20(theoretical number of flips that land on H) and subtract 15 (experiment results for the amount of flips that land on H), and 20 - 15 = 5. Now that you know the difference is 5, you would divide 5 by 40 to find the answer. 5/40 = 1/8 when you simplify, making the answer D.

8 0

2 years ago

Select the fraction that is equivalent to one sixth.

maria [59]

Two twelfths that is the answer

4 0

2 years ago

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