4210 ÷ 18 A 233 r.12 B 233 r.10 C 233 r.16 D 233 r.8
2 answers:
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Answer:
B. N(μ, 1.30).
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a random variable X, with mean and standard deviation
, a large sample size can be approximated to a normal distribution with mean
and standard deviation
.
In this problem, we have that:
An SRS of 25 recent birth records at the local hospital was selected. In the sample, the average birth weight was = 119.6 ounces. Suppose the standard deviation is known to be σ = 6.5 ounces.
Assume that in the population of all babies born in this hospital, the birth weights follow a Normal distribution, with mean μ.
This means that for the sampling distribution, the mean is the mean of the weight of all babies born, so and
.
So the correct answer is
B. N(μ, 1.30).