ublic university is considering a change in the way students pay for their undergraduate classes. To investigate whether the change will be financially benefic aber of credit hours taken per semester with the following 90% confidence interval: (14.914, 16.3657). Use this interval to answer the following questions: a. Which of the following interpretation is most appropriate for the interval calculated? The number of credit hours taken is between 14.914 and 16.3657 with 90% confidence. The interval 14.914 hours and 16.3657 hours contains the true mean number of credit hours taken 90% of the time. 90% of all students at this university will take between 14.914 and 16.3657 credit hours. With 90% confidence the true mean number of credit hours taken is between 14.914 and 16.3657. o. What is the margin of error for this interval? Write your answer in the blank provided rounded to four decimal places. e. If a 95% confidence interval had been calculated, which of the following best describes the margin of crror for this interval? • The margin of error would have been larger. The margin of error would have remained the same. The margin of error would have been smaller.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question
A public university is considering a change in the way students pay for their undergraduate classes. To investigate whether the change will be financially beneficial, the university randomly samples 350 full-time students and estimates the mean
number of credit hours taken per semester with the following 90% confidence interval: (14.914, 16.3657). Use this interval to answer the following questions:
a. Which of the following interpretation is most appropriate for the interval calculated?
OThe number of credit hours taken is between 14.914 and 16.3657 with 90% confidence.
O The interval 14.914 hours and 16.3657 hours contains the true mean number of credit hours taken 90% of the time.
90% of all students at this university will take between 14.914 and 16.3657 credit hours.
O With 90% confidence the true mean number of credit hours taken is between 14.914 and 16.3657.
b. What is the margin of error for this interval? Write your answer in the blank provided rounded to four decimal places.
c. If a 95% confidence interval had been calculated, which of the following best describes the margin of error for this interval?
OThe margin of error would have been larger.
The margin of error would have remained the same.
OThe margin of error would have been smaller.
d. Suppose the following hypotheses had been tested: H,: µ = 16 versus Ha:µ < 16. Based on the interval provided, which of the following best describes the p-value of the test?
O The p-value would be greater than 0.1.
Not enough information to tell.
OThe p-value would be less than 0.1.
Transcribed Image Text:A public university is considering a change in the way students pay for their undergraduate classes. To investigate whether the change will be financially beneficial, the university randomly samples 350 full-time students and estimates the mean number of credit hours taken per semester with the following 90% confidence interval: (14.914, 16.3657). Use this interval to answer the following questions: a. Which of the following interpretation is most appropriate for the interval calculated? OThe number of credit hours taken is between 14.914 and 16.3657 with 90% confidence. O The interval 14.914 hours and 16.3657 hours contains the true mean number of credit hours taken 90% of the time. 90% of all students at this university will take between 14.914 and 16.3657 credit hours. O With 90% confidence the true mean number of credit hours taken is between 14.914 and 16.3657. b. What is the margin of error for this interval? Write your answer in the blank provided rounded to four decimal places. c. If a 95% confidence interval had been calculated, which of the following best describes the margin of error for this interval? OThe margin of error would have been larger. The margin of error would have remained the same. OThe margin of error would have been smaller. d. Suppose the following hypotheses had been tested: H,: µ = 16 versus Ha:µ < 16. Based on the interval provided, which of the following best describes the p-value of the test? O The p-value would be greater than 0.1. Not enough information to tell. OThe p-value would be less than 0.1.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman