Question

The mean of a normal probability distribution is 380; the standard deviation is 18. a. About 68% of the observations lie between what two values? b. About 95% of the observations lie between what two values? c. Practically all of the observations lie between what two values?

Answer #1

The 68-95-99.7 rule , also known as the empiricsl rule is as follows:

Here in this problem

So, and

So, 64% of values lies between 362 and 398

and

So, 95% values lies between 344 and 416 .

practically all values lie between the 3 limit .

and

So, practically all values lies bw 326 and 434

If you have doubts, let me know below. thank you

As empirical rule says :

that imples, 68% of values will lie between this range () .

Similarly the others. Thus I have got those values.

The mean of a normal probability distribution is 380; the
standard deviation is 10.
a. About 68% of the observations lie between what two
values?
About 95% of the observations lie between what two values?
Practically all of the observations lie between what two
values?

The mean of a normal probability distribution is 320; the
standard deviation is 18.
a)About 68% of the observations lie between what two values?
Value #1_____. Value #2______.
b)About 95% 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______.

The mean of a normal probability distribution is 340; the
standard deviation is 20.
About 68% of the observations lie between what two values?
About 95% of the observations lie between what two values?
Practically all of the observations lie between what two
values?

The mean of a normal probability distribution is 440; the
standard deviation is 16. About 68% of the observations lie between
what two values? About 95% of the observations lie between what two
values? Practically all of the observations lie between what two
values?

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

The mean of a normal probability distribution is 390; the
standard deviation is 14.
a. About 68% of the observations lie between what
two values?
Lower Value
Upper Value
b. About 95% of the observations lie between
what two values?
Lower Value
Upper Value
c. Nearly all of the observations lie between
what two values?
Lower Value
Upper Value

The mean of a normal probability distribution is 400; the
standard deviation is 15. a. About 68% of the observations lie
between what two values? Lower Value Upper Value b. About 95% of
the observations lie between what two values? Lower Value Upper
Value c. Nearly all of the observations lie between what two
values? Lower Value Upper Value
statisyics

The mean of a normal probability distribution is 380; the
standard deviation is 90.
a. μ ± 1σ of the observations lie between what
two values?
Lower Value
Upper Value
b. μ ± 2σ of the observations lie between what
two values?
Lower Value
Upper Value
c. μ ± 3σ of the observations lie between what
two values?
Lower Value
Upper Value

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standard deviation is 55. Refer to the table in Appendix B.1.
(Round the final answers to 2 decimal places.)
a. About what percentage of the observations
lie between 325 and 435?
Percentage of observations
%
b. About what percentage of the observations
lie between 270 and 490?
Percentage of observations
%
c. About what percentage of the observations
lie between 215 and 545?
Percentage of...

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