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An animal’s maintenance caloric intake is defined as the number of calories per day required to...

An animal’s maintenance caloric intake is defined as the number of calories per day required to maintain its weight at a constant value. We wish to discover whether the median maintenance caloric intake, m, for a population of rats is less than 10g/day. We draw a SRS of 17 rats, feed each rat 10g of dry food per day for30 days, and find that 4 of the rats lost weight, while the rest gained weight.

(a) State null and alternative hypotheses in terms of m.

(b) Let B be the number of rats in a SRS of size 17 that exhibit daily caloric demands more than 10g/day.IfH0is true, what is the distribution ofB?

(c) What is the value of B observed in the study?

(d) Use the sign test to calculate the p-value and draw a conclusion using α= 0.05.

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