# Shared Flashcard Set

## Details

S10.3 - Hypothesis Tests, Standard Deviation Unknown
Hypothesis Tests for a Population Mean, Population Standard Deviation Unknown
11
Mathematics
11/10/2013

Term
 The difference between hypothesis testing where sigma is unknown rather than known
Definition
 Must use t-distribution rather than the z-distribution
Term
 1. Properties of the t-distribution
Definition
 The t-distribution is different for different degrees of freedom
Term
 2. Properties of the t-distribution
Definition
 The t-distribution is centered at 0 and is symmetric about 0
Term
 3. Properties of the t-distribution
Definition
 The area under the curve is 1. The area on either side of 0 equals 1/2
Term
 4. Properties of the t-distribution
Definition
 As t increases/decreases without bound, the graph approaches but never equals 0
Term
 5. Properties of the t-distribution
Definition
 The area in the tails of the t-distribution is a little greater than the area in the tails of the standard normal distribution
Term
 6. Properties of the t-distribution
Definition
 As the sample size n increases, the density curve of t gets closer to the standard normal density curve
Term
 2 requirements using classical and p-value approach
Definition
 1. The sample is obtained using simple random sampling2. The sample has no outliers and population is normally distributed or n >= 30
Term
 Test statistic, sd unknown =
Definition
 (xbar-mew0)/(s/n^0.5)
Term
 If p-value < alpha then
Definition
 Reject the null
Term
 If p-value > alpha then
Definition
 Fail to reject null
Supporting users have an ad free experience!