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2 years ago

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a sticky scale brings webster’s attention to whether caulking tubes are being properly capped. if a significant proportion of th

e tubes aren’t being sealed, webster is placing their customers in a messy situation. tubes are packaged in large boxes of 144. several boxes are inspected and the following number of leaking tubes are found. calculate the three-sigma control limits to assess whether the capping process is in statistical control.

1 answer:

lina2011 [118]2 years ago

3 0

0.064 the three-sigma control limits to assess whether the capping process is in statistical control.

Total number of leaked tubes = 72

Total number of tubes = 144*20 = 2880

Pbar = 72/2880 = 0.025

Number of tubes in each box (n) = 144

We need to calculate Lower and Upper control limits for P-chart which can be calculated as

LCLp = Pbar - 3*√Pbar * (1 - Pbar)/n = 0.025

UCLp = Pbar + 3* √Pbar * (1 - Pbar)/n = 0.025

- 3* √0.025 * (1 - 0.025)/144 = 0.025 - 0.039 = -0.014 or 0

+ 3* (1 - 0.025)/144 = 0.025 + 0.039 = 0.064.

Statistical Control is a quality control method that uses statistical techniques to monitor and control processes.

Learn more about statistical control at

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Two of the 240 passengers are chosen at random. Find the probability that

hjlf

Step-by-step explanation:

there are in total 240 passengers.

out of these 240, there are 150+30=180 passengers that are in holiday.

and 240-180 = 60 passengers are not.

if we pick one passenger then the probability is 180/240 = 3/4 = 0.75 that he/she is on holiday.

remember : desired "events" over total "events".

i)

now we pick 2 passengers.

the probabilty for the first one to be on holiday is again

3/4 or 0.75.

if that event happens, then we have only 179 passengers out of now 239 to be on holiday.

and to pick one out of that pool to be on holiday is then

179/239 = 0.748953975...

and for both events to happen in one scenario we need to multiply both probabilities (it is an "and" relation, while an addition would be for an "exclusive or" relation).

the probabilty that we pick 2 passengers on holiday is

3/4 × 179/239 = 0.561715481... ≈ 0.5617

we cannot simply square the basic probability of 0.75 (0.75² = 0.5625), because that would mean we pick one passenger, then put him back into the crowd, and then pick a second time (with a chance to pick the same person again). like with rolling a die.

but that is not the scenario as I understand it. it is to pick a passenger, then keep that person singled out and pick a second passenger. hence the difference.

ii)

exactly one of the two is in holiday.

that means

either the first one is on holiday and the second one is not, or the the second one is and the first one is not.

now we model this logic statement in probabilty arithmetic.

please note that after the first pull we need to update the numbers for the remaining pool depending on the result of the first pull.

the total remaining is in both cases 239. but either the remaining people on holiday go down to 179 (and not in holiday stays 60), or the remaining people not on holiday go down to 59 (and on holiday stays 180).

so, the first one is on holiday, and the second one is not :

3/4 × 60/239 (remember : "and" relation)

= 3 × 15/239 = 45/239 = 0.188284519...

the first one is not on holiday, and the second one is :

60/240 × 180/239 = 1/4 × 180/239 = 45/239 =

= 0.188284519...

since there is no overlap of the potential events (there is no event that could be in both cases), this is an exclusive or relation, and we can add the probabilities.

so, the probability for exactly one of the picked passengers to be on holiday is

2×0.188284519... = 0.376569038... ≈ 0.3766

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2 years ago

I need help :( i don't understand this

maria [59]

Answer: 116.93ft^2

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sergiy2304 [10]

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3 years ago

Solve. x² – 5x + 6 = 0<br><br> {–2, –3}<br><br> {2, 3}<br><br> {3, –2}<br><br> {5, –1}

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What 2 numbes multiply go get 6 and add to get -5
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3 years ago

A linear revenue function is R = 12x. (Assume R is measured in dollars.) what is the slope? What is the revenue received from se

kherson [118]

Answer:

12 ; 12 dollars

Step-by-step explanation:

Data provided in the question:

Revenue function, R = 12x

R is in dollars

Now,

The slope can be found out by differentiating the above revenue function w.r.t 'x'

thus,

$\frac{\textup{dR}}{\textup{dx}}$ = $\frac{\textup{d(12x)}}{\textup{dx}}$

or

slope = 12

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therefore,

R = 12 × 1 = 12 dollars

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