Math AI: Hypothesis Testing (HL Part) 2

purpose of 1 sample t test (stats)?

t Test (Stats): purpose is to test if a sample comes from a given population

values required for 1 sample t test (stats)?

• mean of the population

• mean of the sample

• standard deviation of the sample

how to calculate standard deviation of sample for 1 sample t test (stats)?

T test (STATS)
((N/(N-1)) * standard deviation of population = B
square root of B = standard deviation of sample

null hypothesis for 1 sample t test (stats)?

Ho: mean 1 = mean 2

alternative hypothesis for 1 sample t test (stats)?

H1: mean 1 is not equal to mean 2 (2 tailed test)
OR
H1: mean 1 is greater than mean 2 (right tailed test)
OR
H1: mean 1 is less than mean 2 (left tailed test)

purpose of paired t test (Data)?

to see whether the differences between measurements are zero or not

null hypothesis for paired t test (Data)?

Ho: difference = 0

alternative hypothesis for paired t test (Data)?

H1: mean is greater than null hypothesis (shows improvement)

numbers required for paired t test (Data)?

null hypothesis= 0
list: difference between the 2 lists of before and after

when to use T- interval?

when we ned to find a confidence interval

values for T- interval?

• list of observed values

• frequency value (optional)

• C level (confidence interval in decimal)

when to use z test?

• sample is greater than 30

• population mean (mew), population standard deviation (sigma), sample mean is given (x)

null hypothesis for z test?

Ho: null hypothesis = population mean

alternative hypothesis for z test?

H1: mew is not equal to mew (Ho)
or
H1: mew is greater than mew (Ho) - right tailed
OR
H1: mew is less than mew (Ho) - left tailed

how to find critical region for z test?

inverse normal
area = significance level test
mean = population mean
standard deviation = (population standard deviation / (square root of n))