100% satisfaction guarantee Immediately available after payment Both online and in PDF No strings attached
logo-home
MATH 533 Week 8 Final Exam Set 3 (100% CORRECT Solution) | Already graded A+ $10.99   Add to cart

Exam (elaborations)

MATH 533 Week 8 Final Exam Set 3 (100% CORRECT Solution) | Already graded A+

 10 views  0 purchase
  • Course
  • Institution

MATH 533 Week 8 Final Exam Set 3 Answer The length of time to do a cable installation by Multi-Cable Inc. is normally distributed with a mean of 42.8 minutes & a standard deviation of 6.2 minutes. What percentage of installations take less than 30 minutes? x = The length of time to do a cable insta...

[Show more]

Preview 3 out of 17  pages

  • January 19, 2022
  • 17
  • 2021/2022
  • Exam (elaborations)
  • Questions & answers
avatar-seller
MATH 533 Week 8 Final Exam Set 3

Answer The length of time to do a cable installation by
Multi-Cable Inc. is normally distributed with a mean of 42.8
minutes & a standard deviation of 6.2 minutes. What
percentage of installations take less than 30 minutes?

x = The length of time to do a cable installation
= 42.8
= 6.20

x-
z=




P(x < 30)
= P(z < -2.06)
= 0.5 - 0.4803
= 0.0197 or 1.97%

,Answer Accident claims are checked for completeness by
branch offices of Fortune Insurance before they are sent to
a regional office for payment. Historically 80% of the
claims are complete when they reach the regional office.
You select a random sample of 20 claims that have arrived at
the regional office. Find the probability that:

X = Number of completed forms in sample
n = 20
p = 0.80

a. At least 16 claims are complete,

P(X 16) = P(X = 16) + … + P(X = 20)
= 0.6296

b. All 20 are complete,

P(X = 20) = 0.0115

c. Fewer than 12 are complete,

P(X < 12) = P(X 11) = P(X = 0) + … + P(X =
11)
= 0.0100


d. Exactly 12 are complete.

P(X = 12) = 0.0222

, Answer Until this year the mean braking distance of a Nikton automobile moving at 60
miles per hour was 175 feet. Nikton engineers have developed what they consider a better
braking system. They test the new brake system on a random sample of 81 cars &
determine the sample mean braking distance. The results are:

x = 167 feet s = 27 feet

a. Compute the 90% confidence interval for the mean braking
distance. Interpret this interval.

s
x z𝛼 ( )
2 n


27
167 (1.645)( )
81


167 4.935

162.1 171.9


We are 90% confident that the population mean breaking distance
is between 162.1 ft & 171.9 ft.


b. How many cars should be tested if Nikton wants to be 90%
confident of being within 2 feet of the population mean braking
distance? Assume the sample size will be larger than 30.


( z𝛼 )2 2 (1.645)2 (27 )2
2
n = = = 493.17 = 494
B2 (2 )2

The benefits of buying summaries with Stuvia:

Guaranteed quality through customer reviews

Guaranteed quality through customer reviews

Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.

Quick and easy check-out

Quick and easy check-out

You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.

Focus on what matters

Focus on what matters

Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!

Frequently asked questions

What do I get when I buy this document?

You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.

Satisfaction guarantee: how does it work?

Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.

Who am I buying these notes from?

Stuvia is a marketplace, so you are not buying this document from us, but from seller ProfGoodlucK. Stuvia facilitates payment to the seller.

Will I be stuck with a subscription?

No, you only buy these notes for $10.99. You're not tied to anything after your purchase.

Can Stuvia be trusted?

4.6 stars on Google & Trustpilot (+1000 reviews)

83637 documents were sold in the last 30 days

Founded in 2010, the go-to place to buy study notes for 14 years now

Start selling
$10.99
  • (0)
  Add to cart