MATH 1F92 Lecture Notes - Lecture 14: Null Hypothesis, Simple Random Sample, Statistical Hypothesis Testing

• School: Brock University
• Department: Mathematics and Statistics
• Course: MATH 1F92
• Professor: Prof.Christian Deangelis

Document Summary

Before doing hypothesis testing for a population mean, we need to recall some properties of. 10. 3- hypothesis tests for a population mean the sampling distribution of . If (cid:449)e"re esti(cid:373)ati(cid:374)g mux, we must also estimate sigmax thus! Whi(cid:272)h is a stude(cid:374)t"s t-distribution which n-1 degrees of freedom. This is the test statistic we will use for hypothesis testing on a mean. The hypotheses can be structured in one of the following ways: Right-tailed (cid:2777):= 0 (cid:2778): < 0 (cid:2777): = 0 (cid:2777): = 0 (cid:2778): 0 (cid:2778): >0. Select a level of significance, , depending on the seriousness of making a type 1 error. 0 is the assumed value of the population mean. Step 2: level of significance (cid:1872)0= . Find the associated critical t-values based on your level of significance. The critical value(s) will always depend on your alternative hypothesis.