In: Math
Suppose we know that the average height of Americans is 176cm with standard deviation of 6cm; and that the average height of Australians is 181cm with standard deviation of 8cm. Suppose in a room there are two individuals, who happen to be from the same country. We cannot hear their accents (so cannot guess in that way whether they are Americans or Australians), but we know these individuals’ heights, which are 178cm and 180cm. Assume that heights are normally distributed. Obtain the likelihood functions, and suggest the likely country of origin of these individuals.