Central Limit Theorem Statistics Sampling Distributions Central Limit Theorem Add yours Sorry, we don't have any videos for this topic yet. Let teachers know you need one by requesting it Request a video 8 Help us find a video Log in so we can tell you when a lesson is added. Sign in with Google Sign in with Facebook Questions How do you find the mean and the standard deviation of the sampling distribution of Â¯X and find an interval containing 95.44% of all possible sample mean returns? VarunStatsHelp answered · 5 hours ago 1 Answer What is the central limit theorem? David O. answered · 1 week ago 2 Answers How is the Central Limit Theorem applicable to estimating the average of a series of identical random events (i.e. dice rolls)? 2 weeks ago 0 Answers Rolling a fair ten-sided die produces a uniformly distributed set of numbers between 1 and 10 with the mean of 5.5 and a standard deviation of 2.872. How do you find the mean and standard deviation of the resulting distribution of sample means for n=64? 3 weeks ago 0 Answers Is there a difference between Normal Distribution and the Central Limit Theorem? 1 month ago 0 Answers What are some real life examples where we can use the central limit theorem? 3 months ago 0 Answers The population mean thickness of some wire is 12 mm with a standard deviation of .8 mm. A random sample of 100 pieces of wire is to be selected. What is the mean, variance and shape of this sample of 100 wires? VarunStatsHelp answered · 3 months ago 1 Answer The probability that a seed will germinate is 0.34. Suppose 130 seeds are planted. How do you use the central limit theorem to determine the probability that at most 37 seeds germinate? VarunStatsHelp answered · 3 months ago 1 Answer How does the central limit theorem relate to hypothesis testing? VarunStatsHelp answered · 3 months ago 1 Answer What does the central limit theorem state? VarunStatsHelp answered · 3 months ago 1 Answer The heights of males in a certain country are normally distributed with a mean of 70.2 inches and a standard deviation of 4.2 inches. What would be that standardized test statistic (z score) or a male who is 74 inches? 5 months ago 0 Answers Why does a sample size greater than 30 approximate the normal distribution? 7 months ago 0 Answers How do you use the central limit theorem? Marvin V. answered · 7 months ago 1 Answer A firm has cars available for hire. The distance travelled per day by a hire car has a mean of 236 miles and a standard deviation of 80 miles.For a random sample of 100 such distances, what's the probability that its mean is less than 250 miles? 7 months ago 0 Answers How does the central limit theorem relate to confidence intervals? 10 months ago 0 Answers How does the central limit theorem influence standard deviation? 10 months ago 0 Answers How does the central limit theorem work with bimodal populations? 11 months ago 0 Answers What is the advantage of central limit theorem in sampling? sjc answered · 12 months ago 1 Answer Why is the Central Limit Theorem important in statistics? 1 year ago 0 Answers Each of Smith's students took a random sample size #n# and calculated the sample mean. Smith found that 68% of the students had sample means between 48.5 and 51.5. What was #n#? 1 year ago 0 Answers A sample of 50 values has a mean of 8.33 while the population standard deviation is 0.67. According to the Central Limit Theorem, the distribution of sample means is what? 1 year ago 0 Answers Does the central limit theorem apply to proportions? Why or why not? 1 year ago 0 Answers When calculating a confidence interval, why is the use of the central limit theorem not necessary? 1 year ago 0 Answers A normally distributed population has a mean of 40 and a standard deviation of 12. What does the Central Limit Theorem say about the sampling distribution of the mean if samples of size 100 are drawn from this population? 1 year ago 0 Answers Is there any version of the central limit theorem for correlated variables? 1 year ago 0 Answers What is a practical application of the central limit theorem? 1 year ago 0 Answers Suppose the time it takes for a purchasing agent to complete an online ordering process is normally distributed with a mean of 8 minutes and a standard deviation of 2 minutes. What is the probability that the sample mean will be less than 7.5 minutes? 1 year ago 0 Answers What is the Central Limit Theorem used for? 1 year ago 0 Answers If 9 women are randomly selected, what is the probability that they have a mean height between 63.5 and 64.5 in. given that sample mean = 63.6 and standard deviation = 2.5? 1 year ago 0 Answers How does the Central Limit Theorem relate to the law of large numbers? 1 year ago 0 Answers The heights of males in a certain country are normally distributed with a mean of 70.2 inches and a standard deviation of 4.2 inches. What is the probability that a randomly chosen male is under the height of 65 inches? Geoff K. answered · 1 year ago 1 Answer Scores on a test are normally distributed with a mean of 68.2 and a standard deviation of 10.4. What is the probability that among 75 randomly selected students, at least 20 of them score greater than 78? salamat answered · 1 year ago 1 Answer How do you use the central limit theorem to approximate the probability that the sum of 8 observations taken from an exponential distribution with mean 2 exceeds 5? 1 year ago 0 Answers Suppose that weights of American adult males is Normally distributed with mean 165 pounds and standard deviation 15 pounds. A random sample of 36 adult American males is obtained. What's the mean of the sampling distribution of the sample mean? 1 year ago 0 Answers What are the main tenants of the Central Limit Theorem? 2 years ago 0 Answers How does the law of large numbers relate to the Central Limit Theorem? 2 years ago 0 Answers Why is sample size important when analyzing data? 2 years ago 1 Answer What does the Central Limit Theorem state? 2 years ago 0 Answers What does independent and identically distributed mean? Ramchandran A. answered · 2 years ago 1 Answer When does the Central Limit Theorem hold? Nallasivam V answered · 2 years ago 1 Answer more Ask a question Answer questions Sampling Distributions View all chapters 1 Sampling Distribution and Statistics 2 Sampling Distribution of a Proportion 3 Central Limit Theorem Prev