Normal Distribution: Properties and Estimation, Quizzes of Introduction to Business Management

Definitions and terms related to normal probability distributions, including the shape, highest point, probabilities, and estimators. It also covers the central limit theorem and the difference between confidence coefficient and confidence level.

Typology: Quizzes

2013/2014

Uploaded on 10/27/2014

divya-tewari
divya-tewari 🇺🇸

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TERM 1
A Normal Probability Distribution has a _
distribution and a skewness measure of _
DEFINITION 1
symmetric, zero
TERM 2
The highest point of the normal curve is at the
_, which is also the _ and _
DEFINITION 2
mean, median and mode
TERM 3
Probabilities for the normal random variable
are given by _
DEFINITION 3
the areas under the curve
TERM 4
Total area under a normal distribution is
always equal to
DEFINITION 4
1, with 0.5 on to the right and 0.5 to the left of the mean
TERM 5
The normal random variable is designated by
DEFINITION 5
"Z", where the mean = 0 and the standard deviation = 1
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A Normal Probability Distribution has a _

distribution and a skewness measure of _

symmetric, zero

TERM 2

The highest point of the normal curve is at the

_, which is also the _ and _

DEFINITION 2

mean, median and mode

TERM 3

Probabilities for the normal random variable

are given by _

DEFINITION 3

the areas under the curve

TERM 4

Total area under a normal distribution is

always equal to

DEFINITION 4

1, with 0.5 on to the right and 0.5 to the left of the mean

TERM 5

The normal random variable is designated by

DEFINITION 5

"Z", where the mean = 0 and the standard deviation = 1

Z=

x-u/o

TERM 7

Chapter 8

DEFINITION 7

The distribution of the sample mean "x bar" and the sample

proportion, "p hat"

TERM 8

Point estimator

DEFINITION 8

using data from the sample to compute a sample statistic

that represents an estimate of the population parameter,

such as x bar for u (mean), s for o (standard deviation), and p

hat for p (proportion)

TERM 9

If n > or = 30

DEFINITION 9

then the CLT applies and the sampling distribution of the

mean will be approximately normally distributed

TERM 10

However, if the population is KNOWN to be

normally distribution

DEFINITION 10

then the CLT applies for all sample sizes

The standard deviation, or standard error of

proportions, for p^ =

p is knownsquare-root of 1(1-p)/np is unknownsquare-root of

p^(1-p^)/n

TERM 17

Chapter 9

DEFINITION 17

what is an estimator?point estimation of the population

meaninterval estimation of the population meaninterval

estimation of the population mean, small samples or o

unknown precision and sample size: meansestimating the

population proportionprecision and sample size: proportions

TERM 18

A point estimator can be

used

DEFINITION 18

cannot be expected to provide the exact value of a

population parameter

TERM 19

As a result, an interval estimate can be

computed

DEFINITION 19

by adding and subtracting the margin of error to the point

estimate

TERM 20

What do you use if 1. o is known 2. o is not

known, n > or = 30 3. o is not know, n < 30

DEFINITION 20

1. normal distribution2. normal distribution3. t distribution

The margin of error =

E = Z(a/2)*o/square-root of n

TERM 22

Necessary sample size =

DEFINITION 22

IF N IS NOT AN INTEGER, ALWAYS ROUND UPEVEN IF IT IS

73.3, ROUND UPn=(Za/2)^2*O^2/E^

TERM 23

what is the difference between a, the

confidence coefficient, and the confidence

level

DEFINITION 23

a = level of significance, such as 0.05confidence coefficient

= 1-a, or 0.95confidence level = confidence coefficient X

100, or 95%

TERM 24

Normal Probability distributions have a sum of

probabilities = _ and the area under the

distribution = _

DEFINITION 24