Answered: Teacher Salaries. Refer to Exercise.…

Name: Teacher Salaries. Refer to Exercise. Explain what each of the followin
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Description: Teacher Salaries. Refer to Exercise. Explain what each of the following would mean.a. Type I error b. Type II error c. Correct decisionNow suppose that the results of carrying out the hypothesis test lead to nonrejection of the null hypothesis. Class

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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Teacher Salaries. Refer to Exercise. Explain what each of the following would mean.

a. Type I error b. Type II error c. Correct decision

Now suppose that the results of carrying out the hypothesis test lead to nonrejection of the null hypothesis. Classify that conclusion by error type or as a correct decision if in fact the mean salary of classroom teachers in Ohio

equals the national mean of $55.4 thousand. e. exceeds the national mean of $55.4 thousand.

In Exercises, hypothesis tests are proposed. For each hypothesis test,

a.determine the null hypothesis.
b.determine the alternative hypothesis.
c.classify the hypothesis test as two tailed, left tailed, or right tailed.

Teacher Salaries. Data on salaries in the public school system are published annually in Ranking of the States and Estimates of School Statistics by the National Education Association. The mean annual salary of (public) classroom teachers is $55.4 thousand. A hypothesis test is to be performed to decide whether the mean annual salary of classroom teachers in Ohio is greater than the national mean.

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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d. equals the national mean of $55.4 thousand.
e. exceeds the national mean of $55.4 thousand.

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