MAT 117 Chapter Notes - Chapter 9: Simple Random Sample, Null Hypothesis, Randomized Experiment

• School: Pace University
• Department: Mathematics
• Course: MAT 117
• Professor: Vinh Ly

Document Summary

Hypothesis test for a population mean when is unknown: x is approximately normally distributed w/ mean x = & sd x = . However, it is unreasonable to expect to know w/ knowing . That is why we need to treat pop. Hence, we use = student"s t-distribution w/ n 1 degrees of freedom to perform hypothesis tests on that follows a mean. H0: = 0: step 2: select a level of significance , given by the question & type ) Note: 0 is the assumed value of the pop. mean. Error: step 3: compute the test statistic. T t : step 4: compare the critical value to the test statistic. If t0 < -t / (cid:884) or t(cid:882) > t / (cid:884), reject the null hypothesis. If t0 < -t , reject the null hypothesis. )f t(cid:882) > t , reject the null hypothesis.