Exam (elaborations)
MATH 225N Week 5 Math 225N Statistics Quiz, Chamberlain College of Nursing.
- Course
- Institution
MATH 225N Week 5 Math 225N Statistics Quiz, Chamberlain College of Nursing.
[Show more]
Seller
Follow
QuizPlus
Reviews received
Content preview
MATH 225N, Week 5 Quiz, MATH 225N, Week 5 Quiz
1. An organization has members who possess IQs in the top 4% of the population. If IQs are
normally distributed, with a mean of 100 and a standard deviation of 15, what is the minimum
IQ required for admission into the organization?
Use Excel, and round your answer to the nearest integer: 126
2. The top 5% of applicants on a test will receive a scholarship. If the test scores are normally
distributed with a mean of 600 and a standard distribution of 85, how low can an applicant
score to still qualify for a scholarship?
Use Excel, and round your answer to the nearest integer. 740
-Here, the mean, μ, is 600 and the standard deviation, σ, is 85. Let x be the score on the test. As the top
5% of the applicants will receive a scholarship, the area to the right of x is 5%=0.05. So the area to the
left of x is 1−0.05=0.95. Use Excel to find x.
-Open Excel. Click on an empty cell. Type =NORM.INV(0.95,600,85) and press ENTER.
-The answer rounded to the nearest integer, is x≈740. Thus, an applicant can score a 740 and still be in
the top 5% of applicants on a test in order to receive a scholarship.
3. The weights of oranges are normally distributed with a mean of 12.4 pounds and a standard deviation
of 3 pounds. Find the minimum value that would be included in the top 5% of orange weights.
Use Excel, and round your answer to one decimal place. 17.3
-Here, the mean, μ, is 12.4 and the standard deviation, σ, is 3. Let x be the minimum value that would be
included in the top 5% of orange weights. The area to the right of x is 5%=0.05. So, the area to the left of
x is 1−0.05=0.95. Use Excel to find x.
-1. Open Excel. Click on an empty cell. Type =NORM.INV(0.95,12.4,3) and press ENTER.
-The answer, rounded to one decimal place, is x≈17.3. Thus, the minimum value that would be included
in the top 5% of orange weights is 17.3 pounds
4. Two thousand students took an exam. The scores on the exam have an approximate normal
distribution with a mean of μ=81 points and a standard deviation of σ=4 points. The middle 50% of the
exam scores are between what two values?
Use Excel, and round your answers to the nearest integer. 78, 84
The probability to the left of x1 is 0.25. Use Excel to find x1.
1. Open Excel. Click on an empty cell. Type =NORM.INV(0.25,81,4) and press ENTER.
The benefits of buying summaries with Stuvia:
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
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
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 QuizPlus. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $12.49. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
67866 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy study notes for 14 years now