Question 2 622 11.5 The weight X (in gr) of coffee packages is a random variable...
Multiple Choice Question Assume that random variable X be the excess weight of a "1000 grams" bottle of soap. Let X follows a normal distribution with variance 169 g? What sample size is required to have a level of confidence of 95% that the maximum error of the estimate of the mean of the excess weight is less than 1.5g? A. 302 B. 287 C. 289 D. 301 E. 288
Question 202.5 pts If we consider the simple random sampling process as an experiment, the sample mean is _____. Group of answer choices always zero known in advance a random variable exactly equal to the population mean Flag this Question Question 212.5 pts The basis for using a normal probability distribution to approximate the sampling distribution of x ¯ and p ¯ is called _____. Group of answer choices The Law of Repeated Sampling The Central Limit Theorem Expected Value...
Question 10 If random samples of size 45 are drawn from a population with mean 250 and standard deviation 100, find the standard error of the distribution of sample means. Round your answer to three decimal places, if necessary. standard error- Attempts: 0 of 4used Check Answer
5.6 6. (1 point) Let X be the weight of a newborm blue whale. It is known that the population mean weight is 5,000 pounds with a population standard deviation of 1,000 pounds. If a random sample of 25 newborn blue whales were weighed, and their sample mean X were calculated, find P(X 2 5,100). 7. (1 point) Let X be the mean of a random sample of size 36 from the uniform distribution U (7,15) Find P(11.3 < X...
Simulate n values of an exponential random variable X with parameter λ (of your choice), and compute the sample mean i, sample median m, sample standard deviation s. Plot these quantities as functions of n (on three separate plots). Do x, m, and s converge to any limit values, as n-oo? What are those values and how are they related? Estimate the variance of both x and m for a particular value of n, such as n 100 (by generating,...
Let X,,X.X be a random sample of size n from a random variable with mean and variance given by (μ, σ2) a Show that the sample meanX is a consistent estimator of mean 1(X-X)2 converges in probability Show that the sample variance of ơ2-02- b. 1n to Ơ2 . Clearly state any theorems or results you may have used in this proof. Let X,,X.X be a random sample of size n from a random variable with mean and variance given...
Question 41 2.381 points Save Answer Random samples of size 49 are taken from a population that has 200 elements, a mean of 100, and a variance of 196. The distribution of the population is unknown. The mean and the standard error of the distribution of sample means are 100 and 28 100 and 2 100 and 24.39 100 and 1.74
Question 2 (0.5 points) A random variable X follows a normal distribution with mean of 50 and standard deviation of 5. Suppose we take a simple random sample of size 60 from the population above. Can we calculate the probability that the sample mean is between 45 and 60? (You do not need to actually calculate the probability for this question.) Yes, and the calculated probability would be exact. Yes, and the calculated probability would be approximate. No. Question 3...
Question 4 10 pts X is a normal random variable with unknown mean o=5. and standard deviation (a) "Find the margin of error Ein a 95 percent confidence interval for je corresponding a random sample of size n = 16. (b) What size sample would be needed to have a margin of error equal to 1.5? B y x I - A - A - Ix E Vx c E HTML Editor x. : 12pt 31 © ? lothing
Case 2: Kellogg Corporation Population mean weight is 360 grams with a standard deviation of 15 grams. The quality analyst conducts a random sampling of 16 boxes found to have a sample mean weight of 370 grams. By Sampling 16 boxes, the sample mean weight is 370 grams. A. What is the Sampling error? B. What is the sample standard error of the Sample mean? Quality analyst would like to reduce the sampling error of the sample mean to One...