Mathematics > Exam > MATH 225N Week 6 quiz (2020) – Chamberlain College of Nursing | MATH225N Week 6 quiz (2020) (All)

MATH 225N Week 6 quiz (2020) – Chamberlain College of Nursing QUESTION 1 1/1 POINTS A statistics professor recently graded final exams for students in her introductory statistics course. In a r... eview 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! $$(67, 87) Answer Explanation Correct answers: • $\left(67,\ 87\right)$(67, 87) A confidence interval is an interval of values, centered on a point estimate, of the form (pointestimate−marginof error,pointestimate+marginof error) Using the given point estimate for the mean, x¯=77 and margin of error 10, the confidence interval is: (77−10,77+10)(67,87) QUESTION 2 1/1 POINTS A random sample of adults were asked whether they prefer reading an e-book over a printed book. The survey resulted in a sample proportion of p′=0.14, with a sampling standard deviation of σp′=0.02, who preferred reading an e-book. Use the empirical rule to construct a 95% confidence interval for the true proportion of adults who prefer e-books. That is correct! $$(0.10, 0.18) Answer Explanation Correct answers: • $\left(0.10,\ 0.18\right)$(0.10, 0.18) By the Empirical Rule, a 95% confidence interval corresponds to a z-score of z=2. Substituting the given values p′=0.14 and σp′=0.02, a confidence interval is (p′−z⋅σp′,p′+z⋅σp′)(0.14−2⋅0.02,0.14+2⋅0.02)(0.14−0.04,0.14+0.04)(0.10,0.18) QUESTION 3 1/1 POINTS 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. Answer Explanation Correct answer: We estimate with 95% confidence that the true population mean is between 237 and 293 pages. Once a confidence interval is calculated, the interpretation should clearly state the confidence level (CL), explain what population parameter is being estimated, and state the confidence interval. We estimate with 95% confidence that the true population mean is between 237 and 293 pages. - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - QUESTION 24 1/1 POINTS Lisa has collected data to find that the number of pages per book on a book shelf has a normal distribution. What is the probability that a randomly selected book has fewer than 133 pages if the mean is 189 pages and the standard deviation is 28 pages? Use the empirical rule.Enter your answer as a percent rounded to two decimal places if necessary. That is correct! $$2.28% Answer Explanation Correct answers: • $2.5\%$2.5% Notice that 133 pages is two standard deviations less than the mean. Based on the empirical rule, 95% of the number of pages in the books are within two standard deviations of the mean. Since the normal distribution is symmetric, this implies that 2.5% of the number of pages in the books are less than two standard deviations less than the mean. QUESTION 25 1/1 POINTS Lisa has collected data to find that the number of pages per book on a book shelf has a normal distribution. What is the probability that a randomly selected book has fewer than 142 pages if the mean is 190 pages and the standard deviation is 24 pages? Use the empirical rule.Enter your answer as a percent rounded to two decimal places if necessary. That is correct! $$2.28% Answer Explanation Correct answers: • $2.5\%$2.5% Notice that 142 pages is two standard deviations less than the mean. Based on the empirical rule, 95% of the number of pages in the books are within two standard deviations of the mean. Since the normal distribution is symmetric, this implies that 2.5% of the number of pages in the books are less than two standard deviations less than the mean. [Show More]

Last document update: 2 months ago

Preview 1 out of 19 pages

Connected school, study & course

**About the document**

Uploaded

2 months ago

Number of pages

19

Written in

All

Type

Exam

This document has been written for:

Course

Mathematics

Paper Category

Exam

Uploaded

2 months ago

Downloads

1

Views

8

Avoid resits and achieve higher grades with the best study guides, textbook notes, and class notes written by your fellow students

Your fellow students know the appropriate material to use to deliver high quality content. With this great service and assistance from fellow students, you can become well prepared and avoid having to resits exams.

Your fellow student knows the best materials to research on and use. This guarantee you the best grades in your examination. Your fellow students use high quality materials, textbooks and notes to ensure high quality

Get paid by selling your notes and study materials to other students. Earn alot of cash and help other students in study by providing them with appropriate and high quality study materials.

In Browsegrades, a student can earn by offering help to other student. Students can help other students with materials by upploading their notes and earn money.

We're available through e-mail, Twitter, Facebook, and live chat.

FAQ

Questions? Leave a message!

Copyright © Browsegrades · High quality services·