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 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?

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 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 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

e mean of a normal distribution is 540 kg. The standard
deviation is 20 kg. Refer to the table in Appendix B.1. (Round the
z values to 2 decimal places and the final answers to 4 decimal
places.) a. What is the area between 547 kg and the mean of 540 kg?
Area b. What is the area between the mean and 522 kg? Area c. What
is the probability of selecting a value at random and discovering
that it...

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______.

A normal population has a mean of 10.2 and a standard deviation
of 1.4. Refer to the table in Appendix B.1. a. Compute the z-value
associated with 14.3. (Round the final answer to 2 decimal places.)
z = b. What proportion of the population is between 10.2 and 14.3?
(Round z-score computation to 2 decimal places and the final answer
to 4 decimal places.) Proportion c. What proportion of the
population is less than 10.0? (Round z-score computation to 2...

A normal distribution has a standard deviation equal to 26. What
is the mean of this normal distribution if the probability of
scoring above
x = 183
is 0.0228? (Round your answer to one decimal place.)
You may need to use the appropriate table in Appendix C to answer
this question.
https://www.webassign.net/priviterastats3/priviterastats3_appendix_c.pdf

Assume that a normal distribution of data has a mean of 22 and a
standard deviation of 3. Use the 68minus 95minus99.7 rule to find
the percentage of values that lie below 25 .

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