Find the mean and standard deviation of the followingobservations :X:1, 2, 4, 6, 8, 9Transform the given observations such that :(i) The mean of the transformed series becomes 12 whilethe standard deviation remains unchanged.(ii) The mean of the transformed series becomes 12 andstandard deviation becomes double the standarddeviation of the given series.

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Answered: Find the mean and standard deviation of…

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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(g) The following question was investigated: If the standard deviation of the mean for the sampling distribution of random samples of size 64 from a large or infinite population is 5, how large must the sample size become if the standard deviation is to be reduced to 0.9. In solving this question, it was determined that n = 1975.308642. Since we cannot talk to a partial person, how many people do we need to sample? (h) Suppose you collect data and want to find P(X < some number) by using the t-distribution. What do we need to assume about the population to make sure we can use the t-distribution? (i) Suppose we want to solve the following: • Find k such that P(x2 < k) = 0.025 where df = 8. Find P(x? < 4.182) where df = 6. What R function would you use in each case to solve these questions? You do not need to actually solve, just write down the R function. An example of an R function is dbinom (this is not the one that you need).
A population has a standard deviation ? of 25 units. (Give your answers correct to two decimal places.) (a) Find the standard error for the mean if n = 30.(b) Find the standard error for the mean if n = 46.(c) Find the standard error for the mean if n = 71.
3
Group I Given N1 = 20 E(X- 8) = 10 E(X-8)? = 152 50. Group II N2 = 30 (Y- 10) = - 15 E(Y-10)2 = 300 %3D %3D %3D Find arithmetic mean and standard deviation of each group and the combined arithmeti nean, standard deviation and the overall coefficient of variation.
Withdrawal symptoms may occur when a person using a painkiller suddenly stops using it. For a special type of painkiller, withdrawal symptoms occur in 4% of the cases. Consider a random sample of 2400 people who have stopped using the painkiller. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p, where p is the proportion of people in the sample who experience withdrawal symptoms. (b) Find the standard deviation of (c) Compute an approximation for P(p <0.05), which is the probability that fewer than 5% of those sampled experience withdrawal symptoms. Round your answer to four decimal places.
Solve Part a Suppose X is a normally distributed variable with a mean of 10 and a deviation of 2. Please give a numerical solution for part (a) a. Find p(X<0)
Need a line graph for the given data
Please show me all steps.
Q2. Assume we have two populations represent the mercury contamination (g/Km3) in two different European cities. The mean of mercury contamination in the first city is 50 g/Km3 with standard deviation of 1O, and mean of mercury contamination in the second city is 40 g/Km3 with standard deviation of 8 g/Km3. If a sample of n=9 is taken form first city and a sample of n=16 is taken form second city, what is the probability that the difference between these two sample means is less than 9 g/Km3? 0.0614 0.0359 0.3985 0.0992 0.6015
Ch. 6.1 CI What sample size is needed to give the desired margin of error in estimating a population proportion with the indicated level of confidence? (16) A margin of error within +/- 1% with 99% confidence. (18) A margin of error within +/- 2% with 95% confidence. An initial small sample has p-hat=0.78

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