Question

The mean of a set of credit scores is Mu = 690 and Sigma = 14. Which statement must be true about z694? z694 is within 1 standard deviation of the mean. Z694 is between 1 and 2 standard deviations of the mean. Z694 is between 2 and 3 standard deviations of the mean. Z694 is more than 3 standard deviations of the mean.

Answer 1

Answer: the correct answer is b!

Step-by-step explanation: hope this helped :)

Answer 2

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 $\mu$ and standard deviation $\sigma$, the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

• 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, $\mu = 690, \sigma = 14$. For X = 694, the z-score is given by:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{694 - 690}{14}$

$Z = 0.286$

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