100% satisfaction guarantee Immediately available after payment Both online and in PDF No strings attached
logo-home
MATH 1280 Self-Quiz Unit 7 (100%) | MATH1280 Self-Quiz Unit 7 (100%) – 2020 $10.99   Add to cart

Exam (elaborations)

MATH 1280 Self-Quiz Unit 7 (100%) | MATH1280 Self-Quiz Unit 7 (100%) – 2020

 352 views  0 purchase

MATH 1280 Self-Quiz Unit 7 (100%) – University of the People Grade 10.00 out of 10.00 (100%) Information text Recall that the population average of the heights in the file "" is μ = 170.035. Using simulation it can be shown that the probability of the sample average of the height falling with...

[Show more]

Preview 2 out of 11  pages

  • February 15, 2021
  • 11
  • 2020/2021
  • Exam (elaborations)
  • Questions & answers
All documents for this subject (3)
avatar-seller
Academiks
MATH 1280 Self -Quiz Unit 7 (100%) – University of the People Grade 10.00 out of 10.00 ( 100%) Information text Recall that the population average of the heights in the file "pop1.csv" is μ = 170.035. Using simulation it can be shown that the probability of the sample average of the height falling within 2 centimeter of the population average is approximately equal to 0.925. From the simulations we also got that the standard deviation of the sample average is (approximately) equal to 1.122. In the next 3 questions you are asked to apply the Normal approximation to the distribution of the sample average using this information. The answer may be rounded up to 3 decimal places of the actual value: Question 1 Correct Question text Using the Norm al approximation, the probability that sample average of the heights falls within 2 centimeter of the population average is Answer:
0.9253374 Feedback: Using the Normal approximation, the computation of a probability associated with the random variable is conducted with the functions of the Normal distribution for the same expectation and standard deviation as the original distribution. The expectation is μ = 170.035. The standard deviation is σ = 1.122. The event corresponds to the interval [μ - 2, &mu + 2 ]. Therefore, the approximated probability is > mu <- 170.035 > sig <- 1.122 > pnorm(mu+2,mu,sig) - pnorm(mu -2,mu,sig) [1] 0.9253374 The correct answer is: 0.9253374 Question 2 Correct Question text Using the Normal approximation we get that the central region that contains 90% of the distribution of the sample average is of the form 170.035 ± z · 1.122. The value of z is Answer:
1.644854 Feedback: The structure of the central region that contains 90% of the Normal distribution is μ ± qnorm(0.95) · σ. Ho wever, μ = 170.035 and σ = 1.122. Therefore, z = qnorm(0.95) = 1.644854. The correct answer is: 1.644854 Question 3 Correct Question text Using the Normal approximation, the probability that sample average of the heights is less than 169 is Answer:
0.1781444 Feedback: Using the Normal approximation, the computation of a probability associated with the random variable is conducted with the functions of the Normal distribution for the same expectation and standard deviation as the original distribution. The expe ctation is μ = 170.035. The standard deviation is σ = 1.122. The event corresponds to the values less than 169. Therefore, the approximated probability is > mu <- 170.035 > sig <- 1.122 > pnorm(169,mu,sig) [1] 0.1781444 The correct answer is: 0.1781444 Que stion 4 Correct Question text

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 Academiks. 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)

67474 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