Let X1, X2, . , X25 be a simple random sample from a population having distri- bution N(0, o2), where o² is an unknown parameter. For the hypotheses Ho : o? < 1, H1 : o? > 1, consider the test that rejects Ho when 25 x? > c, where the constant c is chosen to have level of significance a = = 0.05. • Obtain the constant c. [Hint: The sampling distribution of zLE1 X is X(25): Now find c by solving max,2<1 P(E X? > c) = 0.05.] Li=1 25
Let X1, X2, . , X25 be a simple random sample from a population having distri- bution N(0, o2), where o² is an unknown parameter. For the hypotheses Ho : o? < 1, H1 : o? > 1, consider the test that rejects Ho when 25 x? > c, where the constant c is chosen to have level of significance a = = 0.05. • Obtain the constant c. [Hint: The sampling distribution of zLE1 X is X(25): Now find c by solving max,2<1 P(E X? > c) = 0.05.] Li=1 25
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![Let X1, X2,., X25 be a simple random sample from a population having distri-
bution N(0, o²), where o² is an unknown parameter. For the hypotheses
...
Ho : o < 1,
H1 : o² > 1,
consider the test that rejects Ho when 5 x? > c, where the constant c is
chosen to have level of significance a =
i=D1
0.05.
Obtain the constant c. [Hint: The sampling distribution of z EE1 X7 is
Xi25): Now find c by solving max,2<1 P(E1 X? > c) = 0.05.]
i=1
25
• After we observed a simple-random sample and obtained , X? = 38 what
will be your decision?
25
• Instead, if our simple random sample gave E1 X? = 36 what will be your
decision?
25
i3D1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb2f6386a-3cc2-426b-9dbe-808d2ada845c%2Fb6659cc4-5cf2-4331-afe9-6a3aaf51a0c2%2Ffs3sfco_processed.png&w=3840&q=75)
Transcribed Image Text:Let X1, X2,., X25 be a simple random sample from a population having distri-
bution N(0, o²), where o² is an unknown parameter. For the hypotheses
...
Ho : o < 1,
H1 : o² > 1,
consider the test that rejects Ho when 5 x? > c, where the constant c is
chosen to have level of significance a =
i=D1
0.05.
Obtain the constant c. [Hint: The sampling distribution of z EE1 X7 is
Xi25): Now find c by solving max,2<1 P(E1 X? > c) = 0.05.]
i=1
25
• After we observed a simple-random sample and obtained , X? = 38 what
will be your decision?
25
• Instead, if our simple random sample gave E1 X? = 36 what will be your
decision?
25
i3D1
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