The Central Limit Theorem is important instatistics.Group of answer choicesa-The central limit theorem states that if asample of data is large enough, the samplingdistribution of the sample mean isapproximately normal, regardless of theshape of the population.b-The central limit theorem states that whena sample size is large, the population isapproximately normal.c- The central limit theorem states that thesampling distribution of the sample mean isapproximately normal whenever thepopulation is large enough.d-lf a representative sample of observationsis drawn from a normally shaped population,the sampling distribution of the samplemean will follow a normal distributionregardless of the sample's size.

We have to define the correct definition of Central limit theorem

Answered: The Central Limit Theorem is important…

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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STATISTICS AND PROBABILITY Multiple Choice! No long explaantion needed. THUMBS-UP will be given! Based on the Central Limit Theorem, which statement (s) is/are FALSE? A. The mean of the sampling distribution of the sample proportion is the population proportion. B. The sampling distribution of the sample proportion is approximately normal for whatever sample size even if the distribution of raw data values is not normal. O A O B O both A and B O neither A nor B
The Central Limit Theorem (CLT) requires a sample be randomly collected. This is to... Reduce bias and reduce accuracy. Reduce standard error and reduce precision Reduce the standard error and increase precision. Reduce bias and increase accuracy
Indicate whether the central limit theorem will apply to describe the sampling distribution of the sample proportion. n = 95 and p = 0.19 O The central limit theorem can be applied. O The central limit theorem cannot be applied. Save for Later
Sampling Distributions: The Gallup Poll has decided to increase the size of its random sample of Canadian voters from about 1500 people to about 4000 people right before an election. The poll is designed to estimate the proportion of Canadian voters who favor a new law banning smoking in public buildings. The effect of this increase is to 1. increase the variability of the estimate. 2. have no effect since the population size is the same. 3. reduce the variability of the estimate. 4. reduce the bias of the estimate. 5. increase the bias of the estimate.
Stem Leaf 214 26 31334 36 6 677 9 412 45 Using the data set above, determine if there are any outliers. If there are no outliers, enter DNE.
K Let X denote the outcome of rolling a die. a. Construct a graph of the (i) probability distribution of X and (ii) sampling distribution of the sample mean for n = 2. (You can think of (i) as the population distribution you would get if you could roll the die an infinite number of times.) b. The probability distribution of X has mean 3.50 and standard deviation 1.71. Find the mean and standard deviation of the sampling distribution of the sample mean for (i) n = 2, (ii) n = 30. What is the effect of n on the sampling distribution? T OA. 0.1 3.50 6.9 Outcome 0.3 0.25- 0.2 0.15 (ii) Which graph shows the sampling distribution of the sample mean for n = 2? 0.1- 0.05- 0² 123456 Outcome Get more help. Y átv 01 0!!!!! 1 2 3 4 5 6 Outcome B. & 0.22 0.15 0.1- 0.05 0- MacBook Air + 1 2 3 4 5 6 Outcome b. (i) For n=2, the mean is and the standard deviation is. (Round to two decimal places as needed.) U A4 F7 01 0++++++ 1 2 3 4 5 6 Outcome O C. 8 0.23 0.15- 0.1 0.05- 03 1 2 3 4 5 6 Outcome Clear…
What does the Central Limit Theorem tell about the sample mean? If the sample size is large, the distribution of all individual observations should be normally distributed. If your sample size is large, the distribution of the sample mean should be normally distributed with the population mean as its center. The distribution of the sample mean is always perfectly normally distributed. O If your sample size is large, the distribution of the population mean should be normally distributed with the population mean as its center.
What does the central limit theorem state? Pick most suitable answer. A. If the sample size decreases then the sampling distribution much approach an exponential distribution. B. If the sample size increases sampling distribution must approach normal distribution. C. If the sample size increases then the sampling distribution much approach an exponential distribution. D.If the sample size decreases then the sample distribution must approach normal distribution.
A newspaper article reported that 320 people in one state were surveyed and 80% were opposed to a recent court decision. The same article reported that a similar survey of 510 people in another state indicated opposition by only 30%. Construct a 99% confidence interval of the difference in population proportions based on the data. The 99% confidence interval of the difference in population proportions is ( (Round to four decimal places as needed.)
K Use the central limit theorem to find the mean and standard error of the mean of the indicated sampling distribution. Then sketch a graph of the sampling distribution. The per capita consumption of red meat by people in a country in a recent year was normally distributed, with a mean of 114 pounds and a standard deviation of 38.8 pounds. Random samples of size 18 are drawn from this population and the mean of each sample is determined. View an example Get more help. G Clear all Check answer
The graph portrays the decision criterion for a hypothesis test for a population mean. The null hypothesis is H:H=Po: The curve Is the normal curve for the test statistic under the assumption that the null hypothesis is true. Use the graph to solve the problem. A graphical display of the decision criterion follows. 0.9- Do not reject H. Reject H, 0.8- 0.7 -0.6- 0.5- 034 10.005 413 3542s s 8 o59 03 1.is 17 136 2.576 Determine the rejection reglon. Submit Assignment Continue 2021 McGraw-Hill Education. All Rights Reserved. Terms of Use Privacy Accessibility
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