# Question: According to the central limit theorem for a relatively large

According to the central limit theorem, for a relatively large sample size, the variable x-bar is approximately normally distributed.

a. What rule of thumb is used for deciding whether the sample size is relatively large?

b. Roughly speaking, what property of the distribution of the variable under consideration determines how large the sample size must be for a normal distribution to provide an adequate approximation to the distribution of x-bar?

a. What rule of thumb is used for deciding whether the sample size is relatively large?

b. Roughly speaking, what property of the distribution of the variable under consideration determines how large the sample size must be for a normal distribution to provide an adequate approximation to the distribution of x-bar?

## Relevant Questions

In 1905, R. Pearl published the article "Biometrical Studies on Man. I. Variation and Correlation in Brain Weight" (Biometrika, Vol. 4, pp. 13-104). According to the study, brain weights of Swedish men are normally ...In the article "A Multifactorial Intervention Program Reduces the Duration of Delirium, Length of Hospitalization, and Mortality in Delirious Patients" (Journal of the American Geriatrics Society, Vol. 53, No. 4, pp. ...Population data: 2, 3, 5, 7, 8. a. Find the mean, μ, of the variable. b. For each of the possible sample sizes, construct a table similar to Table 7.2 on page 281 and draw a dotplot for the sampling distribution of the ...In the Southern Ocean food web, the krill species Euphausia superba is the most important prey species for many marine predators, from seabirds to the largest whales. Body lengths of the species are normally distributed with ...a. What percentage of the waybills constituted the sample? b. What percentage error was made by using the sample to estimate the total revenue due C&O? c. At the time of the study, the cost of a census was approximately ...Post your question