2. A teacher claims that the learning performance of male and females students in Mathematics is comparable. In a recently concluded standardized test in Mathematics, male students were found to have a population mean of 48.25 and a standard deviation of 5.25. To prove his claim, a teacher randomly chose his samples of female students and their scores were as follows: 35, 35, 44, 49, 50, 53, 54, 45, 35, 38, 29, 30, 38, 40, 30, 35, 36, 28, 36, 30. Is the claim of a teacher true using 1% level of significance?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Solve number 2
Direction: Solve for the given problem using the appropriate steps in
Hypothesis Testing. Show complete solution and state your decision and
conclusion.
1. In a recent survey of nurses in Region X, it was found out that the average
monthly net income of nurses is P 8,048.25. Suppose a researcher wants to
test this figure by a random sample of 158 nurses in Region X to determine
whether the monthly net income has changed. Suppose further the average
net monthly income of the 158 nurses is P 9,568.40 and the population
standard deviation was found to be P 1,563.42.
2. A teacher claims that the learning performance of male and females students
in Mathematics is comparable. In a recently concluded standardized test in
Mathematics, male students were found to have a population mean of 48.25
and a standard deviation of 5.25. To prove his claim, a teacher randomly
chose his samples of female students and their scores were as follows:
35, 35, 44, 49, 50, 53, 54, 45, 35, 38, 29, 30, 38, 40, 30, 35, 36, 28, 36, 30.
Is the claim of a teacher true using 1% level of significance?
Transcribed Image Text:Direction: Solve for the given problem using the appropriate steps in Hypothesis Testing. Show complete solution and state your decision and conclusion. 1. In a recent survey of nurses in Region X, it was found out that the average monthly net income of nurses is P 8,048.25. Suppose a researcher wants to test this figure by a random sample of 158 nurses in Region X to determine whether the monthly net income has changed. Suppose further the average net monthly income of the 158 nurses is P 9,568.40 and the population standard deviation was found to be P 1,563.42. 2. A teacher claims that the learning performance of male and females students in Mathematics is comparable. In a recently concluded standardized test in Mathematics, male students were found to have a population mean of 48.25 and a standard deviation of 5.25. To prove his claim, a teacher randomly chose his samples of female students and their scores were as follows: 35, 35, 44, 49, 50, 53, 54, 45, 35, 38, 29, 30, 38, 40, 30, 35, 36, 28, 36, 30. Is the claim of a teacher true using 1% level of significance?
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