math 225n week 6 quiz statistics – question and answers
Written for
MATH 225N
All documents for this subject (687)
Seller
Follow
DrAnswers
Reviews received
Content preview
MATH 225N WEEK 6 QUIZ STATISTICS- QUESTION AND ANSWERS
Question 1
A statistics professor recently graded final exams for students in her introductory statistics course. In a review
of her grading, she found the mean score out of 100 points was a x¯=77, with a margin of error of 10.
Construct a confidence interval for the mean score (out of 100 points) on the final exam.
That is correct!
Answer: (67, 87)
Question 2
A random sample of adults were asked whether they prefer reading an e-book over a printed book. The
survey resulted in a sample proportion of p′=0.14, with a sampling standard deviation of σp′=0.02, who
preferred reading an e-book.
Use the empirical rule to construct a 95% confidence interval for the true proportion of adults who prefer e-
books.
That is correct!
Answer: ( 0.10, 0.18)
Question 3
The pages per book in a library are normally distributed with an unknown population mean. A random sample
of books is taken and results in a 95% confidence interval of (237,293) pages.
What is the correct interpretation of the 95% confidence interval?
That is correct!
We estimate with 95% confidence that the sample mean is between 237 and 293 pages.
We estimate that 95% of the time a book is selected, there will be between 237 and 293 pages.
We estimate with 95% confidence that the true population mean is between 237 and 293 pages.
,MATH 225N WEEK 6 QUIZ STATISTICS- QUESTION AND ANSWERS
Question 4
, MATH 225N WEEK 6 QUIZ STATISTICS- QUESTION AND ANSWERS
The population standard deviation for the heights of dogs, in inches, in a city is 3.7 inches. If we want to
be 95% confident that the sample mean is within 2 inches of the true population mean, what is the
minimum sample size that can be taken? Round up to the nearest integer.
That is correct!
Answer: 14 dog heights
Question 5
Clarence wants to estimate the percentage of students who live more than three miles from the school. He
wants to create a 98% confidence interval which has an error bound of at most 4%. How many students
should be polled to create the confidence interval?
z0.10 z0.05 z0.02 z0.01 z0.005
5
1.28 1.64 1.96 2.32 2.57
2 5 0 6 6
Use the table of values above.
That is correct!
Answer: 846 Students
Question 6
The average score of a random sample of 87 senior business majors at a university who took a certain
standardized test follows a normal distribution with a standard deviation of 28. Use Excel to determine
a 90% confidence interval for the mean of the population. Round your answers to two decimal places and
use ascending order..
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 DrAnswers. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $14.99. You're not tied to anything after your purchase.
