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, find the critical value(s) for each situation and draw the appropriate figure showing the critical region. 1. a=0.01. left-tailed 2. a 5%, right-tailed 3. A two-tailed with a = 0.005

, find the critical value(s) for each situation and draw the appropriate figure showing the critical region. 1. a=0.01. left-tailed 2. a 5%, right-tailed 3. A two-tailed with a = 0.005

MATLAB: An Introduction with Applications
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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. find the critical value(s) for each situation and draw the appropriate figure showing the critical region. 1. α=0.01. left-tailed 2. a 5%, right-tailed 3. A two-tailed with a=0.005
Transcribed Image Text:. find the critical value(s) for each situation and draw the appropriate figure showing the critical region. 1. α=0.01. left-tailed 2. a 5%, right-tailed 3. A two-tailed with a=0.005
Step 2: Determine the corresponding Z-value from the table. a. For a left-tailed test, use the z value that corresponds to the area equivalent to a in the table. For a right-tailed test, use the value that corresponds to the area equivalent to 1-a. For a two-tailed test, use the value that corresponds to a/2 for the left value. It will be negative. For the right value, use the value that corresponds to the area equivalent to 1 -a/2. It will be positive. b. c. Examples: Using Table- A, find the critical value(s) for each situation and draw the appropriate figure, showing the critical region. 0.9901. 1. a-0.10, left-tailed Solution: Step 1: Draw the figure and indicate the area. Since this is a left- tailed test, the area 0.10 is located in the left tail, as shown. of area of 2.575. 2. A right-tailed test with a = 0.005 Solution: Step 1: Draw the figure and indicate the area. Since this is a right-tailed test, the 0.005 is located in the right tail, as shown. Step 2: Determine the corresponding Z- Value from the table. Step 2: Determine the corresponding Z-Value from the table. Find the area closest to 0.1000 in Table A. In this Case, it is 0.1003. Find the Z- Value that corresponds to the area 0.1003. It is 1.28. 3. A two-tailed test with a = 0.02 Solution: Step 1: Draw the figure and indicate the area. In this case, there are two areas 9.10 equivalent -1.28 z 0.01. STATISTICS AND PROBABILITY 3000 0 Find the area closest to 1-a, or 1-0.005-0.9950. In this case, it is 0.9949 or 0.9951. The two z values corresponding to 0.9949 and 0.9951 are 2.57 and 2.58. Since 0.9950 is halfway between these two values, find the average of the two value: (2.57+2.58)/2= However, 2.58 is most often used. 0 9900 0 +2.58 0.005 +2.33 to a/2, or 0.02/2=0.01. Step 2: Determine the corresponding Z- Value from the table. For the left z critical value, find the area closest to 0.01. In this case, it is 0.0099. For the right z critical value, find the area closest to 1-0.01 -0.9900. In this case, it is
Transcribed Image Text:Step 2: Determine the corresponding Z-value from the table. a. For a left-tailed test, use the z value that corresponds to the area equivalent to a in the table. For a right-tailed test, use the value that corresponds to the area equivalent to 1-a. For a two-tailed test, use the value that corresponds to a/2 for the left value. It will be negative. For the right value, use the value that corresponds to the area equivalent to 1 -a/2. It will be positive. b. c. Examples: Using Table- A, find the critical value(s) for each situation and draw the appropriate figure, showing the critical region. 0.9901. 1. a-0.10, left-tailed Solution: Step 1: Draw the figure and indicate the area. Since this is a left- tailed test, the area 0.10 is located in the left tail, as shown. of area of 2.575. 2. A right-tailed test with a = 0.005 Solution: Step 1: Draw the figure and indicate the area. Since this is a right-tailed test, the 0.005 is located in the right tail, as shown. Step 2: Determine the corresponding Z- Value from the table. Step 2: Determine the corresponding Z-Value from the table. Find the area closest to 0.1000 in Table A. In this Case, it is 0.1003. Find the Z- Value that corresponds to the area 0.1003. It is 1.28. 3. A two-tailed test with a = 0.02 Solution: Step 1: Draw the figure and indicate the area. In this case, there are two areas 9.10 equivalent -1.28 z 0.01. STATISTICS AND PROBABILITY 3000 0 Find the area closest to 1-a, or 1-0.005-0.9950. In this case, it is 0.9949 or 0.9951. The two z values corresponding to 0.9949 and 0.9951 are 2.57 and 2.58. Since 0.9950 is halfway between these two values, find the average of the two value: (2.57+2.58)/2= However, 2.58 is most often used. 0 9900 0 +2.58 0.005 +2.33 to a/2, or 0.02/2=0.01. Step 2: Determine the corresponding Z- Value from the table. For the left z critical value, find the area closest to 0.01. In this case, it is 0.0099. For the right z critical value, find the area closest to 1-0.01 -0.9900. In this case, it is
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