17 similar rats were fed 10g of dry food per day for 30 days. 4 of the rats lost

Question

17 similar rats were fed 10g of dry food per day for 30 days. 4 of the rats lost weight; the rest gained weight. Our interest is in the maintenance caloric intake of rats from this population. The maintenance caloric intake is defined as the number of calories per day required to maintain the weight at a constant level. We wish to discover if there is evidence that the maintenance caloric intake is less than 10g/day. (a) Let B be the number of rats that exhibited daily caloric demands which are less than 10g/day during the 30 day experimental period. If the true maintenance caloric intake amount is 10g/day, what is the distribution of B? (b) What is the observed value of B? (d) Calculate the pvalue and decide the test.

Explanation / Answer

here n=17, since out of 17 only 4 lost the weight and remianing gained the weight

B is number which gained the weight

here p=(17-4)/17=13/17

answer a)here there is two outcome gain and loss of weight so B will follow binomila distribution

with parameter n=17 and p=13/17=0.7647

b) observed value of B is 13

d) to answer this question there is need of more information , please send i.e part c) question is missing

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