Question

section 3.4 homework due sep 12 by 11:59pm points 14 submitting an external tool section 3.4 homework score: 5/14 answered: 5/14 question 6 the scores on a standardized test are normally distributed with a mean of 90 and standard deviation of 25. what test score is 0.3 standard deviations above the mean?

Explanation:

Step1: Recall the formula for finding a value in a normal - distribution

The formula to find a value $x$ in a normal distribution is $x=\mu + z\sigma$, where $\mu$ is the mean, $z$ is the number of standard - deviations from the mean, and $\sigma$ is the standard deviation.

Step2: Identify the given values

We are given that $\mu = 90$, $z = 0.3$, and $\sigma=25$.

Step3: Substitute the values into the formula

$x=90 + 0.3\times25$.
First, calculate $0.3\times25 = 7.5$.
Then, $x=90 + 7.5=97.5$.

Answer:

$97.5$