9. The heat evolded in calories is normally destributed. The mean is thought to be 100 and standard deviation 10. You wish to check this statement.. A sample of 25 measurements gives a sample mean of 102. a)State null and alternative hypotheses n4 lo 2 b)What conclusion can be drawn at the at the given level of significance a = .01? c)What conclusion can be drawn if a .05? d)What is the p-value of the test? e)What is probability of type II error when really u is 97 and a= .05 ? f) How many measurements need be made so that on .05 level of significance/ a=.05/ test has a 90% probability of rejection /B 0.l %3D llu is 97?

MATLAB: An Introduction with Applications
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Parts e and f
9. The heat evolded in calories is normally destributed. The mean is thought to be
100 and standard deviation 10. You wish to check this statement..
A sample of 25 measurements gives a sample mean of 102.
a)State null and alternative hypotheses
na7 lo 2
b)What conclusion can be drawn at the at the given level of significance a = .01?
c)What conclusion can be drawn if a .05?
d)What is the p-value of the test?
e)What is probability of type II error when really u is 97 and a= .05 ?
f) How many measurements need be made so that on .05 level of
significance/ a=.05/ test has a 90% probability of rejection /B 0.1/
if mean, u, really is 97?
Transcribed Image Text:9. The heat evolded in calories is normally destributed. The mean is thought to be 100 and standard deviation 10. You wish to check this statement.. A sample of 25 measurements gives a sample mean of 102. a)State null and alternative hypotheses na7 lo 2 b)What conclusion can be drawn at the at the given level of significance a = .01? c)What conclusion can be drawn if a .05? d)What is the p-value of the test? e)What is probability of type II error when really u is 97 and a= .05 ? f) How many measurements need be made so that on .05 level of significance/ a=.05/ test has a 90% probability of rejection /B 0.1/ if mean, u, really is 97?
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