Activity: Sketch and Locate Locating test statistic: (a) Draw the normal curve. (b) Locate the given test statistic. (c) Determine whether the test statistic will fall on the rejection region or not. Note: Follow the steps in illustrating critical region. 1. z= 2, 95% confidence, two-tailed |(a and b) (c) 2. t= -2.34, df = 22, 99% confidence, one-tailed left (a and b) (c)

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Illustrative Example 1:
A teacher from Mabuti Senior High School developed an Online Problem Solving Test to assess the effectivity of
using online platforms in problem-solving ability of the students. 50 randomly senior high school students need to be
selected. In this sample, x= 78 and s = 12. The mean µ and the standard deviation of the population used in the
standardization of the test were 75 and 15, respectively. Use the 95% confidence level to illustrate the rejection region.
Solution:
3. Determine the The problem does not specify the direction to which the
hypothesis will be leading. It means that the test is
eritical value
fone-tailed) or Two-Tailed Non-directional.
values (two
Confidence Level 98%
Critical Values: - +1. 96
Steps
llustration
tailed).
1. Draw a normal
distribution
testing means.
-1.96
1.96
4. Shade the
region from the
critical ealue
towards the tal
of the
distribution
2. dentify the test Since
statistic to be
50 is large enough, u- 75 is given, and a- 15
is known. (the square of standard devlation is
Dariance a)
Therefore, the test statistic to be used is -test.
used.
-1.96
1.96
Transcribed Image Text:Illustrative Example 1: A teacher from Mabuti Senior High School developed an Online Problem Solving Test to assess the effectivity of using online platforms in problem-solving ability of the students. 50 randomly senior high school students need to be selected. In this sample, x= 78 and s = 12. The mean µ and the standard deviation of the population used in the standardization of the test were 75 and 15, respectively. Use the 95% confidence level to illustrate the rejection region. Solution: 3. Determine the The problem does not specify the direction to which the hypothesis will be leading. It means that the test is eritical value fone-tailed) or Two-Tailed Non-directional. values (two Confidence Level 98% Critical Values: - +1. 96 Steps llustration tailed). 1. Draw a normal distribution testing means. -1.96 1.96 4. Shade the region from the critical ealue towards the tal of the distribution 2. dentify the test Since statistic to be 50 is large enough, u- 75 is given, and a- 15 is known. (the square of standard devlation is Dariance a) Therefore, the test statistic to be used is -test. used. -1.96 1.96
Activity:
Sketch and Locate
Locating test statistic:
(a) Draw the normal curve.
(b) Locate the given test statistic.
(c) Determine whether the test statistic will fall on the rejection region or not.
Note: Follow the steps in illustrating critical region.
1. z= 2, 95% confidence, two-tailed
|(a and b)
|(c)
2. t= -2.34, df = 22, 99% confidence, one-tailed left
(a and b)
(c)
Transcribed Image Text:Activity: Sketch and Locate Locating test statistic: (a) Draw the normal curve. (b) Locate the given test statistic. (c) Determine whether the test statistic will fall on the rejection region or not. Note: Follow the steps in illustrating critical region. 1. z= 2, 95% confidence, two-tailed |(a and b) |(c) 2. t= -2.34, df = 22, 99% confidence, one-tailed left (a and b) (c)
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