Answered: According to the Bureau of Labor…

Name: According to the Bureau of Labor Statistics, the mean salary for regis
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: According to the Bureau of Labor Statistics, the mean salary for registered nurses in Kentucky was $56,279. The distribution of salaries is assumed to be normally distributed with a standard deviation of $5,902. Someone would like to determine if reg

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

See similar textbooks

Related questions

Topic Video

Question

According to the Bureau of Labor Statistics, the mean salary for registered nurses in Kentucky was $56,279. The distribution of salaries is assumed to be normally distributed with a standard deviation of $5,902. Someone would like to determine if registered nurses in Ohio have a greater average pay. To investigate this claim, a sample of 168 registered nurses is selected from the Ohio Board of Nursing, and each is asked their annual salary. The mean salary for this sample of 168 nurses is found to be $56,485.465.

Using the distribution described in part a, what is the probability of observing a sample mean of 56,485.465 or more?

z = _____ (round to 2 decimal places)
probability = _____ (include 4 decimal places)

Based on the probability found, what conclusion can be reached? The probability would be classified as __________ (large/small). So, there __________(is/is not) evidence to support the conjecture that the mean salary for registered nurses in Ohio is greater than $56,279.

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 + ...

Expert Solution

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Hypothesis Tests and Confidence Intervals for Means$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Recommended textbooks for you

Glencoe Algebra 1, Student Edition, 9780079039897…

Algebra

ISBN:

9780079039897

Author:

Carter

Publisher:

McGraw Hill