1 determine whether the hypothesis test involves using a...

Determine whether the hypothesis test involves using a normal distribution, Student t distribution, or neither. Claim: μ = 981. Sample data: n = 15, x̄ = 972, s = 26. The sample data appear to come from a normally distributed population with unknown σ. Select one: Neither normal nor t-distribution Normal distribution Student's t-distribution

A sampling distribution is a distribution of size n where each value is the mean of a sample of size n. The central limit theorem tells us some important information about the sampling distributions: For large enough n, the sampling distributions are approximately normal. Large enough is often as small as 30, but if a population is very skewed, it is possible a larger sample size is needed. The mean of the sampling distribution (the mean of all the means for all the possible samples of size n from the population) is equal to the mean of the population. μx̄=μ. The standard deviation of the sampling distribution is equal to the standard deviation of the population divided by the square root of the sample size. σx̄=σ/√n. A sample of 99 people was taken from a population that has a mean of 158 and a standard deviation of 27. What is the mean of the sampling distribution of size 99?

David N.

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