A population has a mean of 200 and a standard deviation of 50. Suppose a sample of size 100 is selected and x is used to estimate u. (Round your answers to four decimalplaces.)(a) What is the probability that the sample mean will be within +5 of the population mean?(b) What is the probability that the sample mean will be within +10 of the population mean?

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Answered: A population has a mean of 200 and a…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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An IQ test is designed so that the mean is 100 and the standard deviation is 10 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 99% confidence that the sample mean is within 8 IQ points of the true mean. Assume that σ=10 and determine the required sample size.
You play a game of chance in which you can either win or lose (there are no other possibilities). The probability of winning is 0.22. What is the standard deviation of X, where X is the number of times one needs to play a game until one gets the first win?
I have absolultely no understanding of how to solve this the formulas given in the text make no sense. I feeling like I'm missing a step somewhere. Can you please break it down for me
Let a population consist of the values 7 cigarettes, 20 cigarettes, and 21 cigarettes smoked in a day. Show that when samples of size 2 are randomly selected with replacement, the samples have mean absolute deviations that do not center about the value of the mean absolute deviation of the population. What does this indicate about a sample mean absolute deviation being used as an estimator of the mean absolute deviation of a population?
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Q4. Researchers developed a "dog IQ test" and find that the population of dogs in the United States has a mean score of µ = 20 on this test with a standard deviation of σ = 2. You decide to test a sample of n = 40 dogs to do some research about whether some breeds are smarter. You decide to first test your own dog (or your closest friend's or family member's, if you don't have one). What is the probability that your dog will score an "dog IQ" greater than 25 (which is the cut-off for "Doggie Genius")?
The percent of fat calories that a person consumes each day is normally distributed with a mean of about 35 and a standard deviation of about ten. Suppose that 9 individuals are randomly chosen. Let X = average percent of fat calories. For the group of 9, find the probability that the average percent of fat calories consumed is more than six. (Round your answer to four decimal places.)
A population of values has a mean of 59.6 and standard deviation of 35.4. Find the probability that a sample of 58 values from this population will have a mean between 52.6 and 63.8.Enter your answers as numbers accurate to 4 decimal places.
Withdrawal symptoms may occur when a person using a painkiller suddenly stops using it. For a special type of painkiller, withdrawal symptoms occur in 1% of the cases. A random sample of 1100 people who have stopped using the painkiller is going to be taken. Let p be the proportion of people in the sample who experience withdrawal symptoms. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of P. 0 (b) Find the standard deviation of p. 0 (c) Compute an approximation for P<0.02), which is the probability that fewer than 2% of the people in the sample experience withdrawal symptoms. Round your answer to four decimal places. 0 X
just need f. parts iii and iv
P and A are independent, random variables. mean of P is 5 and its standard deviation is 3. mean of A is -2 and standard deviation is 6. what is mean of T= - 3P + 20 ? what is the mean of W= A - P? what is variance of D= P - 2A ?
Assume that IQ scores are normally distributed, with a mean of 100 points and a standard deviation of 14 points. If 50 people are chosen at random, what is the probability that the sample mean of IQ scores will be between 98 and 102?P(98 ≤ x ≤ 102) = ?

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