This is about Z test for a Mean. I need a little help to answer the question. Thank you in advance!! This would really mean a lot Sir/Maam!!! :)) 12. Public School Teachers' Salaries The average salaryfor public school teachers for a specific year wasreported to be $39,385. A random sample of 50 publicschool teachers in a particular state had a mean of$41,680, and the population standard deviation is$5975. Is there sufficient evidence at the a = 0.05 levelto conclude that the mean salary differs from $39,385?Source: New York Times Almanac. State the hypotheses and identify the claim.b. Find the critical value(s).c. Compute the test value.d. Make the decision.a.Summarize the results.Use diagrams to show the critical region (or regions),and use the traditional method of hypothesis testingunless otherwise specified.

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Description: This is about Z test for a Mean. I need a little help to answer the question. Thank you in advance!! This would really mean a lot Sir/Maam!!! :)) 12. Public School Teachers' Salaries The average salaryfor public school teachers for a specific year wa

Given, Population mean=39385 Population standard deviation=5975 sample mean=41680 sample size = 50…

Answered: Public School Teachers' Salaries 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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This is about Z test for a Mean. I need a little help to answer the question. Thank you in advance!! This would really mean a lot Sir/Maam!!! :))

12. Public School Teachers' Salaries The average salary
for public school teachers for a specific year was
reported to be $39,385. A random sample of 50 public
school teachers in a particular state had a mean of
$41,680, and the population standard deviation is
$5975. Is there sufficient evidence at the a = 0.05 level
to conclude that the mean salary differs from $39,385?
Source: New York Times Almanac.

State the hypotheses and identify the claim.
b. Find the critical value(s).
c. Compute the test value.
d. Make the decision.
a.
Summarize the results.
Use diagrams to show the critical region (or regions),
and use the traditional method of hypothesis testing
unless otherwise specified.

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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