A farmer is interested in comparing two different kinds of housing for his laying chickens. He…

A farmer is interested in comparing two different kinds of
housing for his laying chickens. He records the daily number of eggs:

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Do the two kinds of housing seem to result in different numbers
of eggs? State Ho and Ha and test.

For infants at risk, a supplemental diet is proposed to
increase the weight gain during the first month after birth. The gain in
weight, measured in grams, over a period of one month for such infants given a
supplemental diet was compared with the gain of similar infants on a standard
diet:

Is there a larger weight gain when the supplemental diet is
used? State Ho and Ha and test.