1. Find the critical value and rejection region for a left – 2. Find the critical values and rejection regions for a two- tailed test with significance level of 1% or a = 0.01. tailed test with a = 0.05 Since the test is left – tailed, then the critical value (z) Since the test is two – tailed test, the critical region corresponds to an area of 0.01. corresponds to - a = 0.025 and 1 – – a = 0.975. Using the z- table, identify an area as close as possible to the given area. This area falls between z = -2.32 and z = - 2.33. We get the critical value for a = 0.01 by getting the areas 0.025 and 0.975 are -1.96 and 1.96, respectively. So, mean of the two z values: z, =- Using the z – table, the z- scores that correspond to the - 2.32 + -2.33 the critical values are zo = -1.96 and z=1.96. --2.325. The rejection regions are to the left of -1.96 and to the right of 1.96. Thus, the critical value is zo = -2.325 or -2.33. 1 a = 0.025 = 0.975 a = 0.01 =, =-2,33 =, = -1.96 =, =1.96 АCTIVITY A. Complete the table below for the summary of critical values and draw its respective rejection region. One Tailed Test Left – Tailed Test: Right – Tailed Test: Level of Significance Two – Tailed Test 8% or a = 0.08 Left – Tailed Test: 4% or a = 0.04 Right – Tailed Test:

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

Kindly refer to https://drive.google.com/file/d/1_oJ6EdlqKmZxNqgcmN38-XiFlQDvjbXt/view?usp=sharing for the z-table. Thank you. 

EXAMPLE
1. Find the critical value and rejection region for a left – 2. Find the critical values and rejection regions for a two-
tailed test with significance level of 1% or a = 0.01.
tailed test with a = 0.05
Since the test is left – tailed, then the critical value (za)
Since the test is two – tailed test, the critical region
corresponds to an area of 0.01.
1
corresponds to -a = 0.025 and 1
1
-a = 0.975.
2
Using the z- table, identify an area as close as possible
to the given area. This area falls between z = -2.32 and z=-
2.33. We get the critical value for a = 0.01 by getting the areas 0.025 and 0.975 are -1.96 and 1.96, respectively. So,
Using the z – table, the z- scores that correspond to the
- 2.32 + -2.33
the critical values are zo = -1.96 and zo=1.96.
mean of the two z values: z.
-2.325.
The rejection regions are to the left of -1.96 and to the
right of 1.96.
2
Thus, the critical value is zo = -2.325 or -2.33.
= 0.025
a = 0.975
a = 0.01
2, =-2.33
2, = -1.96
2, =1.96
АСTIVITY
A. Complete the table below for the summary of critical values and draw its respective rejection region.
Level of Significance
Two – Tailed Test
One Tailed Test
Left – Tailed Test:
8% or a = 0.08
Right – Tailed Test:
Left – Tailed Test:
Right – Tailed Test:
4% or a = 0.04
Transcribed Image Text:EXAMPLE 1. Find the critical value and rejection region for a left – 2. Find the critical values and rejection regions for a two- tailed test with significance level of 1% or a = 0.01. tailed test with a = 0.05 Since the test is left – tailed, then the critical value (za) Since the test is two – tailed test, the critical region corresponds to an area of 0.01. 1 corresponds to -a = 0.025 and 1 1 -a = 0.975. 2 Using the z- table, identify an area as close as possible to the given area. This area falls between z = -2.32 and z=- 2.33. We get the critical value for a = 0.01 by getting the areas 0.025 and 0.975 are -1.96 and 1.96, respectively. So, Using the z – table, the z- scores that correspond to the - 2.32 + -2.33 the critical values are zo = -1.96 and zo=1.96. mean of the two z values: z. -2.325. The rejection regions are to the left of -1.96 and to the right of 1.96. 2 Thus, the critical value is zo = -2.325 or -2.33. = 0.025 a = 0.975 a = 0.01 2, =-2.33 2, = -1.96 2, =1.96 АСTIVITY A. Complete the table below for the summary of critical values and draw its respective rejection region. Level of Significance Two – Tailed Test One Tailed Test Left – Tailed Test: 8% or a = 0.08 Right – Tailed Test: Left – Tailed Test: Right – Tailed Test: 4% or a = 0.04
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

Hello. Can I ask for the drawing of the curve/rejection region on the answers, please? Hoping for your immediate response. Thanks!

EXAMPLE
1. Find the critical value and rejection region for a left – 2. Find the critical values and rejection regions for a two-
tailed test with significance level of 1% or a = 0.01.
tailed test with a = 0.05
Since the test is left – tailed, then the critical value (za)
Since the test is two – tailed test, the critical region
corresponds to an area of 0.01.
1
corresponds to -a = 0.025 and 1
1
-a = 0.975.
2
Using the z- table, identify an area as close as possible
to the given area. This area falls between z = -2.32 and z=-
2.33. We get the critical value for a = 0.01 by getting the areas 0.025 and 0.975 are -1.96 and 1.96, respectively. So,
Using the z – table, the z- scores that correspond to the
- 2.32 + -2.33
the critical values are zo = -1.96 and zo=1.96.
mean of the two z values: z.
-2.325.
The rejection regions are to the left of -1.96 and to the
right of 1.96.
2
Thus, the critical value is zo = -2.325 or -2.33.
= 0.025
a = 0.975
a = 0.01
2, =-2.33
2, = -1.96
2, =1.96
АСTIVITY
A. Complete the table below for the summary of critical values and draw its respective rejection region.
Level of Significance
Two – Tailed Test
One Tailed Test
Left – Tailed Test:
8% or a = 0.08
Right – Tailed Test:
Left – Tailed Test:
Right – Tailed Test:
4% or a = 0.04
Transcribed Image Text:EXAMPLE 1. Find the critical value and rejection region for a left – 2. Find the critical values and rejection regions for a two- tailed test with significance level of 1% or a = 0.01. tailed test with a = 0.05 Since the test is left – tailed, then the critical value (za) Since the test is two – tailed test, the critical region corresponds to an area of 0.01. 1 corresponds to -a = 0.025 and 1 1 -a = 0.975. 2 Using the z- table, identify an area as close as possible to the given area. This area falls between z = -2.32 and z=- 2.33. We get the critical value for a = 0.01 by getting the areas 0.025 and 0.975 are -1.96 and 1.96, respectively. So, Using the z – table, the z- scores that correspond to the - 2.32 + -2.33 the critical values are zo = -1.96 and zo=1.96. mean of the two z values: z. -2.325. The rejection regions are to the left of -1.96 and to the right of 1.96. 2 Thus, the critical value is zo = -2.325 or -2.33. = 0.025 a = 0.975 a = 0.01 2, =-2.33 2, = -1.96 2, =1.96 АСTIVITY A. Complete the table below for the summary of critical values and draw its respective rejection region. Level of Significance Two – Tailed Test One Tailed Test Left – Tailed Test: 8% or a = 0.08 Right – Tailed Test: Left – Tailed Test: Right – Tailed Test: 4% or a = 0.04
Solution
Bartleby Expert
SEE SOLUTION
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman