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?
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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 = μ40standard deviation σ σ= 3n = 10μx = 40σ x = σ√n = 3/√10 = 0.9487μ x = 4σ\x = 0.9487σx = 0.9487Yes, the sampling distribution is normally distributed because the population is normally distributed.Learn more about sampling distribution here:- https://brainly.com/question/12892403#SPJ4