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Sagot :
Answer: the correct answer is b!
Step-by-step explanation: hope this helped :)
Using the normal distribution, it is found that the correct statement is:
694 is within 1 standard deviation of the mean.
Normal Probability Distribution
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
As stated in this problem, [tex]\mu = 690, \sigma = 14[/tex]. For X = 694, the z-score is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{694 - 690}{14}[/tex]
[tex]Z = 0.286[/tex]
Since |Z| < 1, 694 is within 1 standard deviation of the mean.
More can be learned about the normal distribution at https://brainly.com/question/24663213
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