W7 Lectures t-test, type 1 and 2 errors + distribution of mean sample and central limit theorem + z-test

Question 1

characteristics for a t‐test to test for the mean of paired differences

Answer 1

• Two Related Groups: Same subjects measured twice (before & after).
• Normal Distribution
• Dependent Samples
• Mean Difference: Tests if the average difference between pairs is zero.

Question 2

inzight tip for paired difference t-test

Answer 2

create differences in the Manipulate Variables tab

Question 3

t‐test for the mean of paired differences

Answer 3

H0: ud = 0
H1 ud =/ or < or > 0

Question 4

what test works for all data?

Answer 4

Sign test

Question 5

what test only works for Normally distributed?

Answer 5

t-test

Question 6

type I error

Answer 6

when we reject 𝐻0 when it is true - or we conclude that a change has
occurred when it hasn’t

Question 7

type II error

Answer 7

If we fail to reject 𝐻0 when it is false - or we conclude no change when there is one

Question 8

the significance level - 𝜶

Answer 8

The probability of making a type I error,

Question 9

the ‘power’ - 1-𝛽

Answer 9

The probability of detecting an effect if there is actually one present.
The probability of making a type II error

Question 10

Central Limit Theorem (CLT)

Answer 10

For a large enough sample size n ≥ 30., the sampling distribution of the sample mean approaches a normal distribution, regardless of the population’s distribution.

Question 11

how do you calculate standard error

Answer 11

standard devotion/ root(n)

Question 12

Z-test hypotheses

Answer 12

𝐻0: 𝜇 = 9.4
𝐻1: 𝜇 =/ or < or > 9.4