A normal distribution has mean $$ \mu=60 $$ and standard deviation $$ \sigma=20 $$. Find and interpret the $$ z $$-score for $$ x=72 $$. The $$ z $$-score for $$ x=72 $$ is $$ \square $$. So 72 is $$ \square $$ standard deviations (Choose one) $$
abla $$ the mean $$ \mu=60 $$.

Question

A normal distribution has mean $$ \mu=60 $$ and standard deviation $$ \sigma=20 $$. Find and interpret the $$ z $$-score for $$ x=72 $$. The $$ z $$-score for $$ x=72 $$ is $$ \square $$. So 72 is $$ \square $$ standard deviations (Choose one) $$ 
abla $$ the mean $$ \mu=60 $$.

UpStudy AI · Accepted Answer

To find the $$ z $$-score for $$ x = 72 $$ in a normal distribution with mean $$ \mu = 60 $$ and standard deviation $$ \sigma = 20 $$, follow these steps:

1. **Calculate the $$ z $$-score:**
   
   $$
   z = \frac{x - \mu}{\sigma} = \frac{72 - 60}{20} = \frac{12}{20} = 0.6
   $$

2. **Interpret the $$ z $$-score:**
   
   A $$ z $$-score of $$ 0.6 $$ means that the value $$ 72 $$ is $$ 0.6 $$ standard deviations **above** the mean $$ \mu = 60 $$.

**Filled-in Statement:**

The $$ z $$-score for $$ x = 72 $$ is $$ \boxed{0.6} $$. So, 72 is $$ \boxed{0.6} $$ standard deviations **above** the mean $$ \mu = 60 $$.
The $$ z $$-score for $$ x = 72 $$ is $$ 0.6 $$. So, 72 is $$ 0.6 $$ standard deviations above the mean $$ \mu = 60 $$.

A normal distribution has mean and standard deviation . Find and interpret the -score for .
The -score for is . So 72 is standard deviations (Choose one) the mean .

Solución de inteligencia artificial de Upstudy

Responder

Solución

Bonus Knowledge

preguntas relacionadas

Latest Statistics Questions

A normal distribution has mean and standard deviation . Find and interpret the -score for . The -score for is . So 72 is standard deviations (Choose one) the mean .