Question

The mean of a normal probability distribution is 380; the
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 observations %

Answer #1

According to empirical rule, 68%, 95% and 99.7% of data lies within 1, 2 and 3 standard deviations of mean respectively.

Mean = 380

Standard deviation = 55

a) 380 - 1x55 = 325

380 + 1x55 = 435

325 to 435 is within 1 standard deviation of mean.

About what **68**% of the observations lie between
325 and 435

b) 380 - 2x55 = 270

380 + 2x55 = 490

270 to 490 is within 2 standard deviations of mean.

About what **95**% of the observations lie between
270 and 490

c) 380 - 3x55 = 215

380 + 3x55 = 545

215 to 545 is within 3 standard deviations of mean.

About what **99.7**% of the observations lie
between 215 and 545

The mean of a normal probability distribution is 220; the
standard deviation is 15. 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 205 and 235? Percentage
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(Round the final answers to 2 decimal places.)
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lie between 190 and 210?
Percentage of observations
%
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Percentage of observations
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(Round the final answers to 2 decimal
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Percentage of
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Percentage of
observations %
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Percentage of
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between what two values? c. Practically all of the observations lie
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The mean of a normal probability distribution is 380; the
standard deviation is 10.
a. About 68% of the observations lie between what two
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About 95% of the observations lie between what two values?
Practically all of the observations lie between what two
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The mean of a normal probability distribution is 380; the
standard deviation is 90.
a. μ ± 1σ of the observations lie between what
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Lower Value
Upper Value
b. μ ± 2σ of the observations lie between what
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Lower Value
Upper Value
c. μ ± 3σ of the observations lie between what
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Lower Value
Upper Value

The mean of a normal distribution is 520 kg. The standard
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Area b. What is the area between the mean and 510 kg? Area c. What
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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
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(a)
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Value 1
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Practically all of the observations lie between what two
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Value 1
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