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?

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