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In a memory test, the test subjects are shown 400 objects and are asked after two hours to name the objects. The historical records show that test subjects remember 80% 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. (b) Find the standard deviation of p. (c) Compute an approximation for P(p <0.81), which is the probability that fewer than 81% of the objects are remembered by a test subject. Round your answer to four decimal places.

In a memory test, the test subjects are shown 400 objects and are asked after two hours to name the objects. The historical records show that test subjects remember 80% 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. (b) Find the standard deviation of p. (c) Compute an approximation for P(p <0.81), which is the probability that fewer than 81% of the objects are remembered by a test subject. Round your answer to four decimal places.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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In a memory test, the test subjects are shown 400 objects and are asked after two hours to name the objects. The historical records show that test subjects remember 80% 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. ? (b) Find the standard deviation of p. (c) Compute an approximation for P(p <0.81), which is the probability that fewer than 81% of the objects are remembered by a test subject. Round your answer to four decimal places.
Transcribed Image Text:In a memory test, the test subjects are shown 400 objects and are asked after two hours to name the objects. The historical records show that test subjects remember 80% 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. ? (b) Find the standard deviation of p. (c) Compute an approximation for P(p <0.81), which is the probability that fewer than 81% of the objects are remembered by a test subject. Round your answer to four decimal places.
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