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26-01-2024
Mathematics

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5. It is known in a pharmacological experiment that rats fed with a particular diet over a certain period gain an average of 40 gms in weight. A new diet was tried on a sample of 20 rats yielding a weight gain of 43 gms with variance 7 gms2. Test the hypothesis that the new diet is an improvement assuming normality.
a) State the appropriate hypothesis
b) What is the appropriate test statistic? Why?
c) Identify the critical region(s)
d) On the basis of the given information test the hypothesis and make conclusion.

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