Question

A simple random sample of size n=10 is obtained from a population that is normally distributed with a mean of 40 and a standard deviation of 3. is the sampling distribution normally distributed?

Answer 1

Yes, the sampling distribution is normally distributed because the population is normally distributed.

A sampling distribution is a chance distribution of a statistic obtained from a larger variety of samples drawn from a specific populace. The sampling distribution of a given population is the distribution of frequencies of a variety of various outcomes that would probable occur for a statistic of a populace.

A sampling distribution is a probability distribution of a statistic this is obtained via drawing a huge variety of samples from a particular populace. Researchers use sampling distributions so that you can simplify the technique of statistical inference.

Solution :

mean = μ40

standard deviation σ σ= 3

n = 10

μx =  40

σ x = σ√n =  3/√10  = 0.9487

μ x =  4σ\x = 0.9487

σx = 0.9487

Yes, the sampling distribution is normally distributed because the population is normally distributed.

Learn more about sampling distribution here:- brainly.com/question/12892403

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