Suppose that the population mean birthweight of human baby boys is 3.3 kg and that a sample of n = 36 baby boys resulted in an SE of 0.1 kg. Is it likely that the birthweight of a random baby boy will be between 3.2 and 3.4 kg? Why or why not?

It is likely that the birth weight of a random baby boy will be between 3.2 and 3.4 kg because the probability of this event is large enough.

Step-by-step explanation:

Population mean=μ=3.3.

S.E=0.1.

n=36.

If the probability of the birth weight of a random baby boy will be between 3.2 and 3.4 kg is larger than the it will be likely. The probability can be calculated by normal distribution because sample size is large enough.

Z-score for 3.2 kg=3.2-3.3/0.1=-1

Z-score for 3.4 kg=3.4-3.3/0.1=1

P(-1<Z<1)=P(-1<Z<0)+P(0<Z<1)

P(-1<Z<1)=0.3413+0.3413

P(-1<Z<1)=0.6826

The probability of the birth weight of a random baby boy will be between 3.2 and 3.4 kg is 68.26%. So. it is likely that the birth weight of a random baby boy will be between 3.2 and 3.4 kg as the probability is large enough.

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