Let u be the average of grades obtained by students on a test. A group x1, x2, students was submitted to this test and through this sample it was obtained Ee; x18 of 18 = 105 e Eæ? = 645. Note: Round the final answer value to 4 decimal places, but do not round off in the middle stages of resolution. Assuming that the grades follow a normal distribution with mean u and variance o^2, answer: a) We want to test the null hypothesis Ho: u = 7.4 against the alternative H1: µ + 7.4 with a critical level of 5%. A test for these nypotheses has the following critical region: RC: {x:x < c1 or x > c2}. Considering unknown o^2 obtain the value of c1: b) Suppose now that the variance is known and equal to 5. Obtain the p-value of the test of letter (a) with the same critical evel: :) Now consider that you want to test the null hypothesis Ho: µ = 7.4 against the alternative Ht: µ > 7.4 with a critical level of 5%. The test has the following critical region: RC: {x:x > c}. Considering o^2 known and equal to 5, obtain the value of c:
Let u be the average of grades obtained by students on a test. A group x1, x2, students was submitted to this test and through this sample it was obtained Ee; x18 of 18 = 105 e Eæ? = 645. Note: Round the final answer value to 4 decimal places, but do not round off in the middle stages of resolution. Assuming that the grades follow a normal distribution with mean u and variance o^2, answer: a) We want to test the null hypothesis Ho: u = 7.4 against the alternative H1: µ + 7.4 with a critical level of 5%. A test for these nypotheses has the following critical region: RC: {x:x < c1 or x > c2}. Considering unknown o^2 obtain the value of c1: b) Suppose now that the variance is known and equal to 5. Obtain the p-value of the test of letter (a) with the same critical evel: :) Now consider that you want to test the null hypothesis Ho: µ = 7.4 against the alternative Ht: µ > 7.4 with a critical level of 5%. The test has the following critical region: RC: {x:x > c}. Considering o^2 known and equal to 5, obtain the value of c:
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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Transcribed Image Text:Let u be the average of grades obtained by
students on a test. A group x1, x2,
students was submitted to this test and through this
sample it was obtained Ex; = 105 e a? = 645.
x18 of 18
Note: Round the final answer value to 4 decimal places, but do not
round off in the middle stages of resolution.
Assuming that the grades follow a normal distribution with mean u and variance on2, answer:
a) We want to test the null hypothesis Ho: µ = 7.4 against the alternative Hi: u + 7.4 with a critical level of 5%. A test for these
hypotheses has the following critical region: RC: {x:x < c1 or x > c2}. Considering unknown on2 obtain the value of ct:
b) Suppose now that the variance is known and equal to 5. Obtain the p-value of the test of letter (a) with the same critical
level:
c) Now consider that you want to test the null hypothesis Ho: µ = 7.4 against the alternative Hi: µ > 7.4 with a critical level of 5%.
The test has the following critical region: RC: {x:x > c}. Considering o^2 known and equal to 5, obtain the value of c:
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