2. The amount of rainfall per month in Gotham City is normally distributed with a mean of2.75 inches and a standard deviation of 0.5 inches. You select a random sample of 16 monthsand compute the mean rainfall.(a) What are the values of the mean and the standard error of the mean for this samplingdistribution of the mean?(b) What is the probability that the sample mean is more than 2.90 inches?(c) What is the probability that the sample mean falls between 2.63 and 2.68 inches?(d) Find a rainfall amount such that the probability that the sample mean falls above it is95%.(e) Find two rainfall amounts symmetric about the mean such that the probability thatthe sample mean falls between them is 99%.(f) What is the probability that the sample mean is below 2.35 inches?(g) Why are we justified in assuming that the sampling distribution of the mean will benormally distributed in this problem?

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Answered: 2. The amount of rainfall per month in…

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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Suppose that the efficacy of a certain drug is 0.43. Consider the sampling distribution (sample size n = 180) for the proportion of patients cured by this drug. What is the mean of this distribution? 0.43 What is the standard error of this distribution? Round your answer to two decimal places. 0.57 X Enter an integer or decimal number [more..]
A B C
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1. Among American women aged 20 to 29 years, 10% are less than 60.8 inches tall, 80% are between 60.8 and 67.6 inches tall, and 10% are more than 67.6 inches tall. Assuming that the height distribution can adequately be approximated by a normal curve, find the mean and standard deviation of the distribution.
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