Illustration 19.4. If it costs a rupee to draw one member of asample, how much would it cost, in sampling from a universe withmean 100 and standard deviation 10, to take sufficient members toEnsure that the mean of the sample in all probability would be within.01 per cent of the true value? Also find the additional cost to doublethe precision.

Answered: Image /qna-images/answer/f22f103e-7069-4a8f-8121-98a19b082530.jpg

Answered: If it costs a rupee to draw one member…

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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For a population with a mean of μ = 55 and a standard deviation of σ = 23, what is the standard error of the distribution of sample means for a sample size of n=6? leave the answer to the nearest hundredths place.
4. A very large population has a mean of 180 and a standard deviation of 24. One day a sample of 64 observations is taken. On another day a sample of 100 observations is taken. Which of the following is true? The standard error of the mean will be smaller with 64 observations. It is impossible to determine any of the above given the available information. The standard error of the mean will be larger with 64 observations. The standard error of the mean will be the same with either 64 or 100 observations.
For a population with a mean of μ = 55 and a standard deviation of σ = 17, what is the standard error of the distribution of sample means for a sample size of n=22? leave the answer to the nearest hundredths place.
There are many situations in which we want to compare means from populations having standard deviations that are equal. This method applies even if the standard deviations are known to be only approximately equal. Consider a report regarding average incidence of fox rabies in two regions. For region I, n1 = 16, x1 ≈ 4.73, and s1 = 2.84 and for region II, n2 = 15, x2 ≈ 3.93, and s2 = 2.45. The two sample standard deviations are sufficiently close that we can assume ?1 = ?2. Use the method of pooled standard deviation to consider the report, testing if there is a difference in population mean average incidence of rabies at the 5% level of significance. (Round your answer to three decimal places.) t =
A researcher wishes to estimate the true proportion of all speeders who exceed the posted speed limit on a particular stretch of road in the Canyonlands National Park where there are frequent accidents. How large should the sample be so that with 91 percent confidence, the sample proportion will not differ from the true proportion by more than 0.261?z = n ⩾
A rugby team from the country of Atlantis is formed by randomly drawing from its population. The population distribution is normally distributed with a mean of 165 cm and a standard deviation of 10 cm. The team draws 26 people for the team. Given a population mean of 165cm, how many standard deviations would a sample mean of 163cm be from the true value? Give your answer rounded to two decimal places.
Suppose that we will randomly select a sample of 64 measurements from a population having a mean equal to 20 and a standard deviation equal to 4. Find the mean and the standard deviation of the sampling distribution of the sample mean . (Round your answer to 1 decimal place.)
A simple random sample of 64 observations was taken from a large population. The population standard deviation is 120. The sample mean was determined to be 320. The standard error of the mean is _____.
A population is known to be normally distributed with standard deviation known to be 8.5. In order to test the hypothesis that the true value of the mean is 17 researchers collect a sample of size 33 and calculate the sample mean to be 14. State the distribution of the sample mean and then test this hypothesis using the appropriate test.
A large population of 5,000 students take a practice test to prepare for a standardized test. The population mean is 140 questions correct, and the standard deviation is 80. What size samples should a researcher take to get a distribution of means of the samples with a standard deviation of 10? provide the solution of above questions

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