In: Math
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.