The mean starting salary for nurses is 67,694 dollars nationally. The standard deviation is approximately 10,333 dollars. The starting salary is not normally distributed. A sample of 31 starting salaries for nurses is taken. f) What is the shape of the sampling distribution of the sample mean?Select an answerWhy? Check all that apply:O is unknown☐o is knownpopulation is normalIn is at least 30On is less than 30O population is not normalg) Find the probability that the sample mean starting salary of the 31 randomly selected nurses is less than69143.9 dollars.Round final answer to 4 decimal places.h) Find the probability that the sample mean starting salary of the 31 randomly selected nurses is morethan 70864.83 dollars.Round final answer to 4 decimal places.i) Is a mean starting salary of 70864.83 dollars unusually high for 31 randomly selected nurses?Select an answerj) If you found a mean starting salary for a sample of 31 nurses as high as 70864.83 dollars, what might youconclude? The mean starting salary for nurses is 67,694 dollars nationally. The standard deviation is approximately10,333 dollars. The starting salary is not normally distributed. A sample of 31 starting salaries for nurses istaken.It is possible with rounding for a probability to be 0.0000.a) Identify the individual, variable, type of variable and the random variable X in the context of thisproblem.The individual is Select an answerThe variable information collected from each individual isSelect an answerThis variable is a Select an answerThe random variable X is as follows:Select an answerb) List the givens with the correct symbols.?v=67694 dollars?v=10333 dollars? = 31variable.c) Identify the random variable X in the context of this problem.Select an answerd) Find the mean of the sampling distribution of the sample mean.Put the numeric value in the first box and the correct units in the second box.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The mean starting salary for nurses is 67,694 dollars nationally. The standard deviation is approximately 10,333 dollars. The starting salary is not normally distributed. A sample of 31 starting salaries for nurses is taken.

f) What is the shape of the sampling distribution of the sample mean?
Select an answer
Why? Check all that apply:
O is unknown
☐o is known
population is normal
In is at least 30
On is less than 30
O population is not normal
g) Find the probability that the sample mean starting salary of the 31 randomly selected nurses is less than
69143.9 dollars.
Round final answer to 4 decimal places.
h) Find the probability that the sample mean starting salary of the 31 randomly selected nurses is more
than 70864.83 dollars.
Round final answer to 4 decimal places.
i) Is a mean starting salary of 70864.83 dollars unusually high for 31 randomly selected nurses?
Select an answer
j) If you found a mean starting salary for a sample of 31 nurses as high as 70864.83 dollars, what might you
conclude?

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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