A medical test. It is known that in the absence of treatment, 70% of the patients with a certain illness will improve. The Central Limit Theorem tells us that the percentages of patients in groups of 400 that improve in the absence of treatment are approximately normally distributed. a. Find the mean and standard deviation of the normal distribution given by the Central Limit Theorem. Round the standard deviation to one decimal place. b. In what percentage of such groups (of 400) would 275 or fewer improve? Round your answer to one decimal place as a percentage.

A medical test. It is known that in the absence of treatment, 70% of the patients with a certain illness will improve. The Central Limit Theorem tells us that the percentages of patients in groups of 400 that improve in the absence of treatment are approximately normally distributed. a. Find the mean and standard deviation of the normal distribution given by the Central Limit Theorem. Round the standard deviation to one decimal place. b. In what percentage of such groups (of 400) would 275 or fewer improve? Round your answer to one decimal place as a percentage.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

A medical test. It is known that in the absence of treatment, 70% of the patients with a certain illness
will improve. The Central Limit Theorem tells us that the percentages of patients in groups of 400 that
improve in the absence of treatment are approximately normally distributed.
a. Find the mean and standard deviation of the normal distribution given by the Central Limit
Theorem. Round the standard deviation to one decimal place.
b. In what percentage of such groups (of 400) would 275 or fewer improve? Round your answer to one
decimal place as a percentage.

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