Question

For a normal distribution where the mean is 50 and the standard deviation is 10 , what percentage of the area is a. between the scores of 40 and $47 ?$ b. above a score of 47 ? $\mathbf{c}$. below a score of 53 ? d. between the scores of 35 and 65 ? $e_{*}$ above a score of 72 ? $\mathbf{f}$. below a score of 31 and above a score of 69 ? g. between the scores of 55 and 62 ? h. between the scores of 32 and 47 ?

          For a normal distribution where the mean is 50 and the standard deviation is 10 , what percentage of the area is
a. between the scores of 40 and $47 ?$
b. above a score of 47 ?
$\mathbf{c}$. below a score of 53 ?
d. between the scores of 35 and 65 ?
$e_{*}$ above a score of 72 ?
$\mathbf{f}$. below a score of 31 and above a score of 69 ?
g. between the scores of 55 and 62 ?
h. between the scores of 32 and 47 ?

Added by Ruben M.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Adi S

09/30/2023

Step 1

The z-score is calculated as: $z = \frac{x - \mu}{\sigma}$ where $x$ is the value, $\mu$ is the mean, and $\sigma$ is the standard deviation. a. For the scores of 40 and 47, we have: $z_1 = \frac{40 - 50}{10} = -1$ $z_2 = \frac{47 - 50}{10} = -0.3$ We can Show more…

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For a normal distribution where the mean is 50 and the standard deviation is 10 , what percentage of the area is a. between the scores of 40 and 47 ? b. above a score of 47 ? c. below a score of 53 ? d. between the scores of 35 and 65 ? e. above a score of 72 ? f. below a score of 31 and above a score of 69 ? g. between the scores of 55 and 62 ? h. between the scores of 32 and 47 ?