MATH 110 MODULE 6 EXAM QUESTIONS AND ANSWERS
PORTAGE LEARNING
Module 6 Exam
Exam Page 1
A new drug is introduced that is supposed to reduce fevers. Tests are done with the
drug. The drug is given to 60 people who have fevers. It is found that the mean time
that it takes for the fever to get back to normal for this test group is 350 minutes with
a standard deviation of 90 minutes. Find the 80% confidence interval for the mean time
that the drug will take to reduce all fevers for all people.
Case 1: large pop and large
sample xbar - z(s√n) < u <
xbar + z(s√n)
n = 60
xbar = 350
s = 90
80% confidence interval (z) = 1.28
A new drug is introduced that is supposed to reduce fevers. Tests are done with the
drug. The drug is given to 60 people who have fevers. It is found that the mean time
that it takes for the fever to get back to normal for this test group is 350 minutes with
a standard deviation of 90 minutes. Find the 80% confidence interval for the mean time
that the drug will take to reduce all fevers for all people.
The drug will ultimately sold to a very large number of people. So, we may assume a
very large population. Since the sample size is greater than 30, we should us e Case 1:
Very large population and very large sample size.
We are given the sample mean and sample standard deviation. So, we have
n=60 x =¯ 350 s=90
This study source was downloaded by 100000860917353 from CourseHero.com on 05-04-2024 03:25:07 GMT -05:00
, For a 80% confidence level, we look at table 6.1 and find that z = 1.28. When we substitute these values into our equation
When we do the arithmetic on the right and left hand side, we get: 335.13 < μ< 364.87.
Exam Page 2
A certain school has 415 male students. The school nurse would like to know how many
calories the male students consume per day. So, she samples 40 male students and
finds that the mean calorie consumption of the 40 is 2610 calories per day with a
standard deviation of 560 calories per day.
Find the 80 % confidence interval for mean calorie intake of all the male students in the
school.
Case 3: Finite population
x* - z(s / √n) √[(N-n)/(N-1)] < < x* + z(s / √n) √[(N-n)/(N-1)]
N = 415
n = 40
xbar = 2610
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 nursehailey. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $9.99. You're not tied to anything after your purchase.
