A competency test has scores with a mean of 82 and a standard deviation of 2. A histogram of the data shows that the distribution is normal. Between what two values do about 99.7% of the values lie? SHOW YOUR WORK (statistics)

The special case of normal distribution with mean of zero and variance of unity is known as standard normal distribution. The p-value is obtained from standard normal table. The density function of standard normal distribution is:

f

(

x

)

=

1

√

2

π

⋅

e

−

x

2

2

;

−

∞

<

x

<

∞