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 =μ3.90 , with a standard deviation of =σ0.88 . 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 μx (the mean of the sampling distribution of the sample mean). =μx (b)Find σx (the standard deviation of the sampling distribution of the sample mean). =σx
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
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
, with a standard deviation of
. Suppose that we will take a random sample of
wisdom teeth removal procedures and record the number of wisdom teeth removed in each procedure. Let
represent the sample mean of the
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.
|
=μx
|
|
|
=σx
|
|
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 1 images
