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1. The sampling distribution of x has a mean μₓ = μ and standard deviation σₓ =​ σ/√n .

   In the question, we are given that a random sample of size n is drawn from a large population with mean μ and standard deviation σ.

   We are asked to find the mean and the standard deviation for the sampling distribution of the variable x for this sample.

   The sample mean is regularly distributed, with a mean μₓ = μ and standard deviation σₓ = σ/√n, where n is the sample size, for samples of any size taken from populations that have a normal distribution.

   Thus, the sampling distribution of x has a mean μₓ= μ and standard deviation σₓ=​ σ/√n .

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   The provided question is incomplete. The complete question is:

   “Fill in the blanks to correctly complete the sentence below.

   Suppose a simple random sample of size n is drawn from a large population with mean μ and standard deviation σ.

   The sampling distribution of x has mean μₓ =​______ and standard deviation σₓ =​______.”

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