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 for 30 days, and find that 4 of the rats lost weight (i.e., their maintenance caloric intake is greater than 10g/day), while the rest gained weight (i.e., their maintenance caloric intake was less than 10g/day).

(a) State null and alternative hypotheses in terms of M. 1 Stat 371 Spring 2017 April 6, 2017

(b) Let B be the number of rats in a SRS of size 17 that exhibit daily caloric demands more than 10g/day. If H0 is true, what is the distribution of B?

(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