Answered: A hospital president claims that the…

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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A hospital president claims that the average salary of registered nurses at her hospital is more than $57,000. You test this claim by surveying 37 registered nurses at this hospital and find they have a mean salary of $57,425. Assume the population standard deviation is $1,750. At the 0.10 level of significance, is there enough evidence to SUPPORT the claim of the hospital president?

1.) If it's a test for mean, do we know the population standard deviation?

Based on your answer in #1, which calculator will you use:

A.) Mean - σ Known, B.) Mean - σ Unknown or C.) Proportions

*Two different problems trying to figure out which one is known and unknown*

ypothesis Testing with the p-value Method
A high school principal claims that the average senior score was at least 25 on the ACT college entrance exam. A
sample list of 32 student scores are shown below. At the 0.01 level of significance, is there enough evidence to
REJECT the principal's claim?
27
28
29
30
19
23
25
25
22
27
26
19
16
22
20
21
18
23
23
19
22
23
28
18
30
17
13
32
35
20
21
25

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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