notation

𝜇

population mean or expected value of a probability distribution

x̄

sample mean

x

specific data value in a sample

s

sample standard deviation

n

number of sample values

E

margin of error

P(A)

probability of event A

n(A)

number of favorable outcomes

n(S)

total number of outcomes in the sample space

CV

coefficient of variation

1 - p

probability of failure in a single trial

p

probability of successes in a single trial

σ

population standard deviation

H₀

null hypothesis

μ₁, μ₂, …., μ_k

population means of k groups

μS_B

mean square between groups

μS_W

mean square within groups

d bar

mean of the differences in hypothesis testing with two means

D₀

hypothesized difference b/w the two means

s^2/1 and s^2/2

sample variances of two groups

s_d

standard deviation of the differences in hypothesis testing with two means

μ₀

hypothesized value of the population mean

n₁ and n₂

sample sizes of two groups

H_A

at least one mean is different from the others