In a memory test, the test subjects are shown 300 objects and are asked after two hours to name the objects. The histori records show that test subjects remember 75% of the objects after two hours. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p, where p is the proportion of objects that are remembered by a test subject. Aa (b) Find the standard deviation of p. (c) Compute an approximation for P (p <0.71), which is the probability that fewer than 71% of the objects are remembered by a test subject. Round your answer to four decimal places.

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
Question

Please Help!!! Thumbs up for the right answer!!! :)

Central limit theorem: Sample proportion
In a memory test, the test subjects are shown 300 objects and are asked after two hours to name the objects. The historical
records show that test subjects remember 75% of the objects after two hours.
Answer the following. (If necessary, consult a list of formulas.)
(a) Find the mean of p, where p is the proportion of objects that are remembered by a test
subject.
Aa
(b) Find the standard deviation of p.
(c) Compute an approximation for P(p<0.71), which is the probability that fewer than
71% of the objects are remembered by a test subject. Round your answer to four
decimal places.
Transcribed Image Text:Central limit theorem: Sample proportion In a memory test, the test subjects are shown 300 objects and are asked after two hours to name the objects. The historical records show that test subjects remember 75% of the objects after two hours. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p, where p is the proportion of objects that are remembered by a test subject. Aa (b) Find the standard deviation of p. (c) Compute an approximation for P(p<0.71), which is the probability that fewer than 71% of the objects are remembered by a test subject. Round your answer to four decimal places.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Research Ethics
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.
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