What is the sampling distribution of the sample mean salary? In the year 2014, according to salary.com, physical therapists in Jacksonville, Florida have an average annual salary of $75,000. The standard deviation is about $6,000. The distribution of salaries is slightly right skewed. Suppose that a random sample of 60 physical therapists is taken from Jacksonville, Florida. What is the sampling distribution of the sample mean salary?- Not approximately normal- approx. Normal with mean = 75,000 and standard deviation = 6,000/sqrt(60)- approx. Normal with mean = 75,000 and standard deviation = 6,000/(60)- approx. Normal with mean = 75,000 and standard deviation = 6,000This multiple-choice question presents four options for the distribution of the sample mean salary. Notably, the second option describes a normal distribution with a mean of 75,000 and a standard deviation given by the formula $ 6000 / \sqrt{60} $.

Assume that the random variable X defines the annual salaries of physical therapist.

Answered: In the year 2014, according to…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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What is the sampling distribution of the sample mean salary?

In the year 2014, according to salary.com, physical therapists in Jacksonville, Florida have an average annual salary of $75,000. The standard deviation is about $6,000. The distribution of salaries is slightly right skewed. Suppose that a random sample of 60 physical therapists is taken from Jacksonville, Florida. What is the sampling distribution of the sample mean salary?

- Not approximately normal
- approx. Normal with mean = 75,000 and standard deviation = 6,000/sqrt(60)
- approx. Normal with mean = 75,000 and standard deviation = 6,000/(60)
- approx. Normal with mean = 75,000 and standard deviation = 6,000

This multiple-choice question presents four options for the distribution of the sample mean salary. Notably, the second option describes a normal distribution with a mean of 75,000 and a standard deviation given by the formula $ 6000 / \sqrt{60} $.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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