Mathematics: Anormal distribution has a mean of 50 and standard deviation of 5. which value produces a negative z-score?

87 Step-by-step explanation:...

Anormal distribution has a mean of 50 and standard

jhony70

11.03.2022

$x\:$ .

Step-by-step explanation:

The z-score for a normal distribution is calculated using the formula:

$Z=\frac{x-\mu}{\sigma}$ .

From the question, the distribution has a mean of 50.

$\implies \mu=50$ and the standard deviation is $\sigma=5$ .

For a z-score to be negative, then, $\frac{x-\mu}{\sigma}\:$ .

$\frac{x-50}{5}\:$ .

$x-50\:$ .

$x\:$ .

$\therefore x\:$ .

Any value less than 50 will produce a negative z-score

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