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Answer:
This z score tell to us how many deviations we are below or above the mean for a given normal distribution.
For the case of Eddie we got:
And for the case of Sue we got:
So then for both cases we see that Eddie and Sue are 1 deviation below the true mean for each gender so then the best conclusion for this case would be:
C.They are the same size relative to other children of the same sex.
Step-by-step explanation:
We can define the random variable X as the head circumference for boys at birth and we know that the distribution for X is given by:
Similarly we can define the random variable Y as the head circumference for boys at birth and we know that the distribution for Y is given by:
And we know that Eddie was born with 33.2 cm and Sue with 32.7 cm for the head circumference . Since we are interested to determine which child's head circumference is smaller relative to other children of the same sex, we can use the z score formula given by this formula:
This z score tell to us how many deviations we are below or above the mean for a given normal distribution.
For the case of Eddie we got:
And for the case of Sue we got:
So then for both cases we see that Eddie and Sue are 1 deviation below the true mean for each gender so then the best conclusion for this case would be:
C.They are the same size relative to other children of the same sex.