Kindly answer the second question wrtitten in bold which is 9.thank you in advance. Suppose again, as in Exercise 9, that a random sampleof 10 observations is taken from thenormal distributionwith unknown mean p and unknown variance o?, but suppose now that thefollowing hypotheses are to be tested atthe level of significance 0.05:Hoio² = 4,H1:0²# 4.Suppose that the null hypothesis Ho is to be rejected ifeither s2sc or s2 2 cz, where theconstants c, and cz areto be chosen so that, when the hypothesis H, is true,Pr(S, c2) = 0.025.Determine the values of c, and c2.9. Suppose that a random sample of 10 observationsX1, ..., X10 is taken from the normal distribution withunknown mean µ and unknown variance o², and it is de-sired to test the following hypotheses:Но: о? <4,H: о2> 4.Suppose that a test of the form described in Exercise 8 isto be carried out at the level of significance ao = 0.05. Ifthe observed value of S? is 60, should the hypothesis Hobe rejected or not?

It is given that , Sample size , n = 10. Sample standard deviation , Sn² = 60. Level of…

9. Suppose that a random sample of 10 observations X, . X10 is taken from the normal distribution with .. unknown mean µ and unknown variance o², and it is de- sired to test the following hypotheses: Hо: а2 < 4, H: о2> 4. o2 > 4. Suppose that a test of the form described in Exercise 8 is to be carried out at the level of significance a0 = 0.05. If the observed value of S² is 60, should the hypothesis Ho

9. Suppose that a random sample of 10 observations X, . X10 is taken from the normal distribution with .. unknown mean µ and unknown variance o², and it is de- sired to test the following hypotheses: Hо: а2 < 4, H: о2> 4. o2 > 4. Suppose that a test of the form described in Exercise 8 is to be carried out at the level of significance a0 = 0.05. If the observed value of S² is 60, should the hypothesis Ho

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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Concept explainers

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.

Question

Kindly answer the second question wrtitten in bold which is 9.

thank you in advance.

Suppose again, as in Exercise 9, that a random sampleof 10 observations is taken from the
normal distributionwith unknown mean p and unknown variance o?, but suppose now that the
following hypotheses are to be tested atthe level of significance 0.05:
Hoio² = 4,
H1:0²# 4.
Suppose that the null hypothesis Ho is to be rejected ifeither s2sc or s2 2 cz, where the
constants c, and cz areto be chosen so that, when the hypothesis H, is true,
Pr(S, <c1) = Pr(S > c2) = 0.025.
Determine the values of c, and c2.
9. Suppose that a random sample of 10 observations
X1, ..., X10 is taken from the normal distribution with
unknown mean µ and unknown variance o², and it is de-
sired to test the following hypotheses:
Но: о? <4,
H: о2> 4.
Suppose that a test of the form described in Exercise 8 is
to be carried out at the level of significance ao = 0.05. If
the observed value of S? is 60, should the hypothesis Ho
be rejected or not?

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