Mathematics, 19.06.2020 03:57, surfskate

A sample of 200 ROM computer chips was selected on each of 30 consecutive days, and the number of nonconforming chips on each day was as follows: The data has been given so that it can be copied into R as a vector. non. conforming c(9, 16, 24, 18, 36, 19, 6, 26, 8, 25, 30, 17, 16, 19, 15, 20, 13, 22, 9, 23, 18, 15, 15, 25, 32, 19, 12, 23, 15, 26) #Construct a p chart by using the following code. You will need to enter your values for pbar, LCL and UCL. pbar LCL = UCL = plot(non. conforming/200, ylimc(0,.5)) abline(h pbar, Ity 2) abline(h LCL, Ity 3) abline(h UCL, Ity 3) Construct a p chart and examine it for any out-of-control points. (Round your answers to four decimal places.) LCL = UCL = 0.25 0.20 0.15 0.10 0.05 0.00 0.25 0.20 0.15 UCL .UCL LCI 0.05t LCL 0.00 5 10 15 20 25 30 5 10 15 20 25 30 0.25 0.20 0.15 0.10 0.05 0.00 O-0.05 0.25 0.20 0.15 0.10 0.05 o 0.00 UCL UCL LCL LCL 5 10 15 20 25 30 Day 5 10 15 20 25 30 Comment on the chart
A) Most points are between these limits, so the process appears to be in control with respect to variability
B) All points are between these limits, so the process appears to be out of control
C) All points are between these limits, so the process appears to be in control
D) The value of S on the 5th day lies above the UCL, so an out-of-control signal is generated
E) The value of s on the 5th day lies below the LCL, so an out-of-control signal is generated

Answers: 2

Show answers

Answers

answered: slim2077

A) Most points are between these limits, so the process appears to be in control with respect to variability.

D) The value of S on the 5th day lies above the UCL, so an out-of-control signal is generated.

Step-by-step explanation:

We have the data of 30 days of daily samples, of size n=200. The data is expressed in "number of non-conforming chips". To graph the data in a p-chart, we have to calculate the proportion, so we have to divide the number of non-conforming chips in each sample by the sample size in order to get the proportion.

The data of non-conforming chips es:

[916241836196268253017161915201322]

The proportion of non-conforming chips is calculated as:

$p_i=\dfrac{x_i}{n}=\dfrac{x_i}{200}$

Then, the proportions of non-conforming chips are:

[0.0450.080.120.090.180.0950.030.130.040.1250.150.0850.080.0950.0750.10.0650.110.0450.1150.090.0750.0750.1250.160.0950.060.1150.0750.13

]

For the p-chart we calculate the average proportion:

$\bar{p}=\dfrac{1}{30}\sum p_i=\dfrac{2.855}{30}\approx0.095$

Then, we calculate the control limits as:

$\bar{p}\pm\sqrt{\dfrac{\bar{p}(1-\bar{p})}{m}}\\\\\\0.095\pm\sqrt{\dfrac{0.095\cdot0.905}{30}}=0.095\pm0.054\\\\\\LCL=0.095-0.054=0.041\\\\UCL=0.095+0.054=0.149$

With these values, we can graph the data in the p-chart.

We can see that most points are within these limits, as it is expected (we are calculating the control limits with the same data we are charting). There are 5 out of 30 (one sixth of the samples) that are outside the control limits but there are not more than one consecutive points outside the contorl limits, so we can conclude that the process is in control.

The value of the 5th day (p=0.180) is over the UCL (UCL=0.149), so an out-of-control signal is generated. As the 6th day sample is in control (p=0.095), we could conclude that a special condition makes the 5th day sample lies outside the control limits.

A sample of 200 ROM computer chips was selected on each of 30 consecutive days, and the number of no

answered: Guest

Where m is the slope of the line and b is the y-intercept of the line, or the y-coordinate of the point at which the line crosses the y-axis. to write an equation in slope-intercept form, given a graph of that equation, pick two points on the line and use them to find the slope. this is the value of m in the equation.

answered: Guest

step-by-step explanation:

Other questions on the subject: Mathematics

Mathematics, 22.06.2019 00:30, aleilyg2005

Two corresponding sides of two similar triangles are 3cm and 5cm. the area of the first triangle is 12cm2. what is the area of the second triangle?

Answers: 2

continue

Mathematics, 22.06.2019 01:00, rainbowsadie7140

At a book fair, joe bought 24 books at 3 for $5 and had $2 left. how much money did he have at first?

Answers: 2

continue

Mathematics, 22.06.2019 02:00, dollangellface22

The table below shows the approximate masses of a dust particle and a grain of pollen. dust particle 0.000000778 g grain of pollen 0.00000000155 g the mass of a dust particle can be estimated and written in the form a × 10^b, where a = 8 and b = the mass of a grain of pollen can be estimated and written in the form a × 10^b, where a = 2 and b = based on the estimates, the mass of a dust particle is approximately blank times larger than the mass of a grain of pollen.

Answers: 1

continue

Mathematics, 22.06.2019 02:30, imad6684

For every touchdown scored by the timberwolves the mascot does three backflips if the cheerleaders set off six confetti cannons how many touchdowns did the timberwolves score if the cheerleader set of 18 confetti cannons

Answers: 1

continue

Do you know the correct answer?

A sample of 200 ROM computer chips was selected on each of 30 consecutive days, and the number of no...