1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alex Ar [27]
3 years ago
9

As part of an insurance company’s training program, participants learn how to conduct an analysis of clients’ insurability. The

goal is to have participants achieve a time in the range of 30 to 47 minutes. Test results for three participants were: Armand, a mean of 37.0 minutes and a standard deviation of 3.0 minutes; Jerry, a mean of 38.0 minutes and a standard deviation of 2.0 minutes; and Melissa, a mean of 38.5 minutes and a standard deviation of 2.9 minutes.
a.Which of the participants would you judge to be capable? (Do not round intermediate calculations. Round your answers to 2 decimal places.)

Participants :

Armand: Cpk _____ Cp Capable ? No/Yes

Jerry: Cpk _____ Capable ? Yes/No

Melissa Cp ________ No/Yes

b.Can the value of the Cpk exceed the value of Cp for a given participant?

yes or no
Mathematics
1 answer:
hammer [34]3 years ago
3 0

Answer:

1) cpk < 1.33, therefore it is not capable

b) cpk = 1.33, therefore it is capable

c) cpk < 1.33, therefore it is not capable

2) Cpk can never be greater than the Cp, but can be equal to it

Step-by-step explanation:

Upper limit (USL) = 47 minutes and Lower limit (LSL) = 30 minutes

1)

a) mean (μ) = 37 minutes, standard deviation (σ) = 3 minutes

cpk=min(\frac{USL-\mu}{3\sigma}, \frac{\mu - LSL}{3\sigma})=min(\frac{47-37}{3*3},\frac{37-30}{3*3}  )=min(1.11,0.78)=0.78

cp=(\frac{USL-LSL}{6\sigma})=\frac{47-30}{6*3}=0.94

cpk < 1.33, therefore it is not capable

b) mean (μ) = 38 minutes, standard deviation (σ) = 2 minutes

cpk=min(\frac{USL-\mu}{3\sigma}, \frac{\mu - LSL}{3\sigma})=min(\frac{47-38}{3*2},\frac{38-30}{3*2}  )=min(1.5,1.33)=1.33

cp=(\frac{USL-LSL}{6\sigma})=\frac{47-30}{6*2}=1.42

cpk = 1.33, therefore it is capable

c) a) mean (μ) = 38.5 minutes, standard deviation (σ) = 2.9 minutes

cpk=min(\frac{USL-\mu}{3\sigma}, \frac{\mu - LSL}{3\sigma})=min(\frac{47-38.5}{3*2.9},\frac{38.5-30}{3*2.9}  )=min(0.98,0.98)=0.98

cp=(\frac{USL-LSL}{6\sigma})=\frac{47-30}{6*2.9}=0.98

cpk < 1.33, therefore it is not capable

2) Cpk can never be greater than the Cp, but can be equal to it

You might be interested in
Johanna’s parents give her $10 per week for lunch money. She cannot decide whether she wants to buy or pack her lunch. If a hot
viva [34]
Well she can only buy five times a week. So would the inequality be something like 5 is less then or equal to 10. Sorry if I’m wrong
8 0
2 years ago
Read 2 more answers
A pine tree is 64 feet 3 inches tall. How many inches tall is the pine tree?
Sindrei [870]

Answer:

3 inches you are right

Step-by-step explanation:

4 0
3 years ago
Please help me!!!!!​ i need full answer.
salantis [7]

Answer:

see explanation

Step-by-step explanation:

Using the sum/ difference → product formula

cos x - cos y = - 2sin( \frac{x+y}{2})sin (\frac{x-y}{2} )

sin x - sin y = 2cos (\frac{x+y}{2} )sin (\frac{x-y}{2} )

Given

(cosA - cosB)² + (sinA - sinB )²

= [ - 2sin(\frac{A+B}{2})sin(\frac{A-B}{2} ) ]² + [ 2cos(\frac{A+B}{2} )sin(\frac{A-B}{2} ) ]²

= 4sin² (\frac{A+B}{2} )sin² (\frac{A-B}{2} ) + 4cos² (\frac{A+B}{2} )sin² ( \frac{A-B}{2} )

= 4sin² (\frac{A-B}{2} )[ sin² ( \frac{A+B}{2} ) + cos² ( \frac{A+B}{2} ) ← sin²x + cos²x = 1

= 4sin² ( \frac{A-B}{2} ) × 1

= 4sin² ( \frac{A-B}{2} ) = right side ⇒ proven

4 0
3 years ago
Scoateti factori de sub radical, apoi calculati:<br><br> v3 + 2v27 - v75
Temka [501]
I’m not sure if your asking help to factor the equation. Here is the answer to the equation that I factored. -v^3(v^72-2v^24 + 1) Hope that helps you.
5 0
3 years ago
How to represent 0.5 on a decimal grid
Alina [70]

Answer:

put one and then put 0.5 in between 0 an 1

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • Use the proportion to convert milligrams to grams.
    15·2 answers
  • There are 70 new houses being built in a neighborhood. Last month, 2/5 of them were sold. This month, 5/7 of the remaining house
    7·1 answer
  • One-third of the results of three times a number that is increased by 12.
    5·1 answer
  • Which line graphed in the diagram represents the equation? y= -1/3x + 1
    6·1 answer
  • The ages of Alan, Beth, and Caleb Henley are consecutive integers with a sum of 48. Alan is the youngest, and Caleb is the oldes
    15·1 answer
  • A group of people are waiting in line for a movie premiere.Every tenth person in line will recieve a free movie ticket.Every six
    10·1 answer
  • MATH HELP
    9·1 answer
  • If it's $5 for 4 pounds of apples, how much does 1 pound cost?
    13·2 answers
  • Can I get sum more help?
    9·1 answer
  • Tamara finds the sum of two number cubes rolled at the same time. The chart below shows all
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!