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tommyewall34
16.07.2021 •
Mathematics
A sample of 32 observations is taken from an infinite population. The sampling distribution of a.is approximately normal because of the central limit theorem. b.is approximately normal because the sample size is small in comparison to the population size. c.is approximately normal because is always approximately normally distributed. d.cannot be determined
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Ответ:
a.is approximately normal because of the central limit theorem.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question:
Sample limit of 32 > 30, so the distribution is approximately normal because of the central limit theorem, and the correct answer is given by option a.
Ответ:
1.3235
Step-by-step explanation:
If you take 2.2 and subtract .8765 from it you get 1.3235. If you take that and subtract it from 2.2 you get .8765.