Select True or False from each pul-down menu, depending on whether the corresponding statement is true or falsev 1. The central limit theorem is basic to the concept of statistical inference because it permits us to draw conclusions about the populatonbased strictly on sample data, and without having any knowledge about the distribution of the undertying population.2. When a great many simple random samples of sizen are drawn from a population that is normaly distributed, the sampling distribution ofthe sample means will be normal regardiess of the sample size n.3. In an effort to identify the true proportion of college freshmen who are under 18 years of age, a random sample of 500 freshmen wastaken. Only fity of them were under the age of 18. The value 0.10 would be used as a point estimate to the true proportion of freshmen under the age of18.4. The standard deviation of the sampling distribution of the sample mean is also called the central limit theorem.v ?TrueCelee

Here, we know that sample means of normally distributed and sample mean of the all the samples will…

Answered: Select True or False from each pul-down…

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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The distribution of age of a certain professional sport is strongly skewed to the right with mean 26.8 years and standard deviation 4.2. Consider a random sample of 4 players and a different random sample of 50 players from the population. Which of the following statements is true about the sampling distributions of the sample mean ages for samples of size 4 and samples of size 50
Given in the table are the BMI statistics for random samples of men and women. Assume that the two samples are independent simple random D samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05 significance level for both parts. n X GOPEER 5 Reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI. c. Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI. Fail to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI. b. Construct a confidence interval suitable for testing the claim that males and females have the same mean BMI. 04-4³0 (Round to three decimal places as needed.) Male BM Female BMI H 41 27.2986 8.038297 1₂ 41 24.2674 4.558194
A variable of a population has a mean of u 200 and a standard deviation of o = 42. a. The sampling distribution of the sample mean for samples of size 49 is approximately normally distributed with mean b. For part (a) to be true, what assumption did you make about the distribution of the variable under consideration? A. No assumption was made. B. Normal distribution. C. Uniform distribution. c. Is the statement in part (a) still true if the sample size is 16 instead of 49? Why or why not? A. No. Because the distribution of the variable under consideration is not specified, a sample size of at least 30 is needed for part (a) to be true. O B. Yes, the sampling distribution of the sample mean is always normal. and standard deviation C. No, the sampling distribution of the sample mean is never normal for sample size less than 30.
Which one of the followings is true about the variance of the sample mean of a random sample of size greater than one? a.)It is equal to the variance of the population from which the sample is drawn b.)It is smaller than the variance of the population from which the sample is drawn c.)It is greater than the variance of the population from which the sample is drawn d.)Its value cannot be compared with the variance of the population from which the sample is drawn e.)None of the above
a. The ___________ of an interval estimate of a parameter is the probability that interval estimate contains the parameter.b. A good estimate of the mean is obtained if the standard deviation of the sampling distribution is ____________.smallclose to onelargenone of thesec. Given the population 1,3,4,6, and 8. Suppose samples of size 3 is drawn from this population.What is the population standard deviation?0.98660.97330.9673None of these
A large corporation employs 37525 individuals. The average income of all employees is $76294, with a standard deviation of $17726 and is skewed to the right. Consider this to be the population distribution. You are given a data set consisting of the incomes of 140 randomly selected employees. The population mean is μ=μ= The population standard deviation is σ=σ= The sample size is n=n= Since the sample size is relatively large, the Central Limit Theorem tells us that the sample averages should have a sampling distribution that is (skewed to the rightapproximately normal). The sampling distribution of the sample means is centered at the (populationsample) mean. The sampling distribution has a standard deviation of SD=σ√n=SD=σn= . Round to two decimal places.
The third worksheet labeled sample B is a simple random sample with replacement, with seven observations in the sample, from some population. The index i in the first column is just an integer name for each observation. The specific values x in the second column are measures of a random variable X distributed in the population. Now suppose this random variable X is known to have a Normal distribution in the sampled population, BUT you do not know the population mean or the population standard deviation of that Normal distribution: Both must be estimated from the sample as you just did. Compute the lower bound of an 80% confidence interval for the population mean, using the appropriate sample estimates and techniques appropriate to the knowledge situation described above. i xi 1 74.2 2 72.79 3 70.35 4 74.37 5 73.34 6 78.96 7 77.99
The prices of a sample of books at University A were obtained by two statistics students. Then the cost of books for the same subjects (at the same level) were obtained for University B. Assume that the distribution of differences is Normal enough to proceed, and assume that the sampling was random. 1. Find the test statistic for this test. t = ___ (Round to two decimal places as needed.) 2. Find the p-value for this test. p-value = ____ (Round to three decimal places as needed.) 3. What is the conclusion for this test?
.
L. As a general rule of thumb, if the items selected for a sample are not replaced and the sample size is less than 5 percent of the population, the binomial distribution can be used to approximate the hypergeometric distribution, il. If the probability of success does not remain the same from trial to trial when sampling is done without replacement, the hypergeometric distribution should be applied. I. In the hypergeometric distribution the probability of a success is not the same on each trail. Multiple Choice (0.00, and (i) are all false statements. () and () are correct statements but not (0. 00 and (i) are correct statements but not ()

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