During a wisdom teeth removal procedure, 1, 2, 3, or 4 wisdom teeth are removed, depending on the patient's needs. Records indicate that nationwide, the mean number of wisdom teeth removed in a procedure is μ = 3.86, with a standard deviation of σ = 0.99. Suppose that we will take a random sample of 7 wisdom teeth removal procedures and record the number of wisdom teeth removed in each procedure. Let x̄ represent the sample mean of the 7 procedures. Consider the sampling distribution of the sample mean.
Complete the following. Do not round any intermediate computations. Write your answers with two decimal places, rounding if needed.
(a) Find μ_x̄ (the mean of the sampling distribution of the sample mean).
(b) Find σ_x̄ (the standard deviation of the sampling distribution of the sample mean).