An urn contains 5 marbles of which θ are white and the others are black. In order to
test the hypothesis that θ = 3 against the alternative θ = 5, two marbles are drawn
at random without replacement and the null hypothesis is rejected if both marbles are
white, otherwise the null hypothesis is accepted. Find the probabilities of Type-I and
Type-II errors for this testing procedure.
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5. Give reasons:
a Sodium is stored in kerosene not in water.
b. CNG is a cleaner fuel. c. School bells are made up of metals.
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