Respuesta :
Using the normal distribution, it is found that the probability cannot be determined by the Central Limit Theorem.
Normal Probability Distribution
The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
- By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex], as long as the underlying distribution is normal or the sample size is of at least 30.
Researching this problem on the internet, we have a skewed right distribution with a sample size of 16, hence the probability cannot be determined by the Central Limit Theorem.
More can be learned about the normal distribution at https://brainly.com/question/24537145
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