Question

# The mean of a normal probability distribution is 360; the standard deviation is 14.    (a)...

 The mean of a normal probability distribution is 360; the standard deviation is 14.

 (a) About 68 percent of the observations lie between what two values?

 Value 1 Value 2

 (b) About 95 percent of the observations lie between what two values?

 Value 1 Value 2

 (c) Practically all of the observations lie between what two values?

 Value 1 Value 2

(a)

By Empirical Rule:

68% of data will lie in mean Standard deviation

= 360 14 = (346, 374)

So,

 Value 1 346 Value 2 374

(b)

By Empirical Rule:

95% of data will lie in mean 2 X Standard deviation

= 360 ( 2 X 14) = 360 28 = (332, 388)

So,

 Value 1 332 Value 2 388

(c)

By Empirical Rule:

Practically all of observations will lie in mean 3 X Standard deviation

= 360 ( 3 X 14) = 360 42 = (318, 402)

So,

 Value 1 318 Value 2 402

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