chapter 2.2 Flashcards

1
Q

When can you use table A backwards

A

when given the area and you have to find the z score

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2
Q

what is the 68, 95, 99.7 rule and when does this rule apply

A

68% of the data will fall within one standard deviation, 95% will Fall within two standard deviations, and 99.7% will Fall within 3 standard deviations of the mean

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3
Q

what is the standard normal distribution

A

the normal distribution has a mean of 0 and SD of 1

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4
Q

what info does the standard normal table give

A

gives areas under the standard normal curve

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5
Q

what is the abbreviation for normal distribution with a mean and a standard deviation

A

N(M,SD) AKA mu and Omega symbols

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6
Q

what does the area under a density curve represent

A

the proportion of all observations that fall in that interval

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7
Q

where is the mean of a density curve located

A

the point at which the curve would balance if made of solid material

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8
Q

what is a density curve

A

a curve that is always on or above the horizontal axis and has an area exactly 1 underneath it

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9
Q

define normal distribution and normal curve

A

a normal distribution is described by a normal density curve any particular normal distribution is completely specified by two numbers (mean and standard deviation)

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10
Q

how do you interpret a normal probability plot

A

the points should lie close to a straight line, any points far off the line may be outliers

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11
Q

what is a normal probability plot

A

a graphical technique that shows a linear distribution

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12
Q

describe two methods for assessing whether or not a distribution is approximately normal

A

if the shape of the distribution is approximately symmetric, if the distributions mean and median are equal

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13
Q

when is it appropriate to use the normalcdf and inverse normal functions on the calculator

A

when finding the percentile of a given value in a normal distribution

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14
Q

what does the total area under a normal distribution curve equal

A

1

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15
Q

describe the shape of a normal curve

A

approximately symmetric, single peaked, and bell-shaped

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16
Q

explain how the mean and standard deviation are related to the normal curve

A

the mean is located at the center of the normal curve and is the same as the median. The standard deviation controls the spread of a normal curve. Curves with larger standard deviations are more spread out.

17
Q

what is the meaning of a percentile? ( this is actually from lesson 2.1)

A

The percentage of values less than or equal to a given value