Question

What is the empirical rule?

A rule for determining the average of a normal distribution based on the standard deviation. |
||

A rough estimate of how different the sample and population means should be for the result to be statistically significant. |
||

A guideline of how one should gather empirical data. |
||

A calculation rule for the confidence interval. |
||

None of these |

Answer #1

Solution:

Given that:

**None of these**

The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical rule which states that for a normal distribution, almost all data falls within three standard deviations (denoted by σ) of the mean (denoted by µ). Broken down, the empirical rule shows that 68% falls within the first standard deviation (µ ± σ), 95% within the first two standard deviations (µ ± 2σ), and 99.7% within the first three standard deviations (µ ± 3σ).

The Empirical Rule is based on the standardized normal
distribution.
Describe how you could use the Empirical Rule to evaluate the
distribution of scores on a national test. You are given the
following information for the national test: (1) the population
mean = 450 and (2) the population SD = 75.
Second, based on the information given above, estimate the
range of scores on this test. That is, estimate the low score and
the high score on the test. Discuss...

According to the Empirical rule, sometimes called the Normal
rule, for a symmetrical, bell shaped distribution of data, we will
find that approximately what percent of observations are contained
within plus and minus one standard deviation of the mean A. 50 B.
68 C. 75 D. 95

1) Choose from the Following: Gaussian Distribution, Empirical
Rule, Standard Normal, Random Variable, Inverse Normal, Normal
Distribution, Approximation, Standardized, Left Skewed, or
Z-Score.
Same as the Normal Distribution
A statement whose reliability is based
upon observation and experimental evidence; formulas based upon
experience rather than mathematical conclusions.
A [_______ ________] is a quantity
resulting from a random experiment that can assume different values
by chance.
A result that is not exact, but is
accurate enough for some specific purposes.
The...

According to the empirical rule, approximately what percentage
of the area under a normal distribution lies within 1 standard
deviation? % Within 2 standard deviations? % Within 3 standard
deviations? %

What is the relationship between the Standard Normal
Distribution and the Empirical Rule?
150 words with good explations

Creating Confidence Intervals
1. What is the relationship between the Empirical Rule and a 95%
confidence interval?
2. How are confidence and margin of error related? Explain with
examples.
3. Explain with words and steps how to create a confidence
interval for estimating the true value of the population mean of
the number of cars owned by Beverly Hills households. Don't forget
to write an interpretation of the confidence interval. The sample
results were:
a. Sample size of 100 people...

1.
The confidence intervals for the population proportion are
generally based on ________.
the t distribution when the population standard deviation is not
known
the z distribution
the t distribution
the z distribution when the sample size is very small
2.
The difference between the two sample means 1
– 2 is an interval estimator of the difference
between two population means μ 1 – μ 2.
True
False
3.
Excel does not have a special function that allows to
calculate t values.
True...

the quantitative data set under consideration has roughly a
bell-shaped distribution. Apply the empirical rule to answer the
following: A qunatitative data set of size 70 has mean 40 and
standard deviation 2. Approximately how many observations lie
between 34 and 46?

0. Consider a distribution of raw scores in which the
distribution is normal. Consider that each and every score is
converted into a standard score (a z score), such that the
resulting distribution is a normal distribution of standard scores
(a standard normal distribution, also known as the SND). The
standard normal distribution has all the following characteristics,
except
a. The distribution is bell-shaped.
b. The distribution is symmetrical.
c. The mean, median, and mode of the distribution are equal...

QUESTION 1:
We want to estimate the mean change in score µ in the
population of all high school seniors. An SRS of 430 high school
seniors gained an average of x¯¯¯x¯ = 22 points in their
second attempt at the SAT Mathematics exam. Assume that the change
in score has a Normal distribution with standard deviation
48.114.
Find σx¯¯¯σx¯, the standard deviation of the mean change
x¯¯¯x¯. (±±0.001).
Using the 68-95-99.7 Rule (Empirical Rule), give a 99.7%
confidence interval for μμ...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 3 minutes ago

asked 11 minutes ago

asked 15 minutes ago

asked 27 minutes ago

asked 27 minutes ago

asked 30 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago