AP Statistics Chapter 10 Review

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What happens when Degrees of Freedom increases?

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23 Terms

1

What happens when Degrees of Freedom increases?

Its shape gets taller and shorter and starts to resemble the standard normal distribution.

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2

How do you calculate degrees of freedom for one sample?

n-1

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3

Why is t* bigger than z*?

Because its distribution is wider and shorter in height.

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4

What type of variable is large counts for?

Categorical data

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5

What type of variable is large sample for?

Quantitative data

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6

What happens when the sample size is below 30?

You must create a dot plot then check to see if there is strong skewness or a strong outlier.

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7

How do you find the standard error of the sample mean x-bar?

SE = Sx
x sqrt(n)

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8

When doing the state step, you MUST:

Define all variables and say what you’re doing.

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9

In the do step, you MUST:

State what procedure you’re doing (EX: Construct a one sample t-interval for M)

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10

What is the formula for determining sample size given a confidence level, standard deviation, and margin of error?

z*o/sqrt(n) < ME

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11

How many students need to be surveyed to estimate the mean number of tests send during school hours with 99% confidence and a margin of error of at most 2 texts? Standard deviation is 9 for population

First do Invnorm(0.99/2+0.5, o:1, m:0) = 2.578

Then solve for square root of n

135 students are needed.

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12

We compare populations or treatments by doing inference about…

M1-M2

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13

If you have two samples and are determining the conditions, be sure to use _____

BOTH

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14

Remember when you have to make a box plot, be sure to put

LABELS!!!!!

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15

Whenever treatments are used (AKA if individuals are given two treatments), be sure to find their mean score difference and use t-interval (NOT a 2 sample one)

ok.

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16

When doing a conclusion about a Udiff, be sure to ____

estimate their mean difference

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17

When doing conditions for Udiff be sure to sound like ____

you’re doing conditions for a single sample.

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18

When doing a t-test or a two-sample t interval, be sure to mention the following:

Upper and lower boundary AND DEGREES OF FREEDOM.

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19

How do you interpret confidence level?

If we took many many samples of ______ and each time constructed a C% confidence interval in this same way, about C% of the resulting intervals would capture the _____ (EX: the true difference in mean earning for females and males)

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20

REMEMBER: When you are given the standard deviation, you MUST plug that into the _____

standard error formula and get that standard deviation.

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21

When you are finding Udiff, what should you check for normality if the sample size is under 30?

Check the distribution of both sample distributions

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22

What is the test statistic formula?

(x-bar - M)/ Sx/sqrt(n)

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23

How do you interpret standard error of the mean?

If many samples of size ____ are taken, the sample mean will typically vary from the population mean by _____

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