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 \mu = 3.10, with a standard deviation of \sigma = 1.06. Suppose that we will take a random sample of 10 wisdom teeth removal procedures and record the number of wisdom teeth removed in each procedure. Let x represent the sample mean of the 10 procedures. Consider the sampling distribution of the sample mean x. Complete the following. Do not round any intermediate computations. Write your answers with two decimal places, rounding if needed. (a) Find \mu_x (the mean of the sampling distribution of the sample mean). (b) Find \sigma (the standard deviation of

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 8PPS
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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 \mu
= 3.10, with a standard deviation of \sigma = 1.06.
Suppose that we will take a random sample of 10
wisdom teeth removal procedures and record the
number of wisdom teeth removed in each procedure.
Let x represent the sample mean of the 10 procedures.
Consider the sampling distribution of the sample mean
x. Complete the following. Do not round any
intermediate computations. Write your answers with
two decimal places, rounding if needed. (a) Find \mu_x
(the mean of the sampling distribution of the sample
mean). (b) Find \sigmax (the standard deviation of
the sampling distribution of the sample mean).
Transcribed Image Text: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 \mu = 3.10, with a standard deviation of \sigma = 1.06. Suppose that we will take a random sample of 10 wisdom teeth removal procedures and record the number of wisdom teeth removed in each procedure. Let x represent the sample mean of the 10 procedures. Consider the sampling distribution of the sample mean x. Complete the following. Do not round any intermediate computations. Write your answers with two decimal places, rounding if needed. (a) Find \mu_x (the mean of the sampling distribution of the sample mean). (b) Find \sigmax (the standard deviation of the sampling distribution of the sample mean).
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