The Central Limit Theorem (CLT) says O Samples of size 15 are large enough for the CLT to apply for any populations. O As the sample size increases, the sampling distribution of the mean will get closer and closer to a normal distribution. O Regardless of the sample size, the sampling distribution of the mean is always close to a normal distribution. O Only for symmetric population distributions, the sampling distribution of the mean will get close to a normal distribution as the sample size increas

An ecologist is studying the impact of local polluted waters on the growth of alligators. The length of adult male alligators typically follows a normal distribution with a standard deviation of 2 feet. The ecologist wants to estimate the mean length of this population of alligators. Suppose she samples n alligators at random and uses the sample mean, X to as an estimator for u. a. What is the bias and variance of the estimator? (Note, these may be a function of n.) b. If n = 4, what is the probability that the estimator is within one foot of the true mean? (I.e. find P(|X – µ| < 1). c. What sample size, n, is required for the estimator to be within one foot of the true mean with 95% probability? (I.e. find the value of n that satisfies P(|X – µ| < 1) = 0.95.) d. Suppose the ecologist ends up sampling n = 9 alligators and calculates a sample mean of ī = 10.4 feet. Construct a 95% confidence interval for the population mean. e. Give an interpretation for the interval obtained in (d).

If a sample size is 84, comes from a population that is normally distributed, and the data is ordinal ranging from 135 to 154, can one say that the data satisfies one of the distribution assumptions for a t-test, namely that the data is ordinal?

Hello what about 3b?