Convert each of the following fractions or mixed numbers to percents. 4 __ 5

STAT-5615: Statistics in Research I Lecture 8 Two Sample t-tests for Independent Samples) Ott & Longnecker 6.1, 6.2 Dr. Christian Lucero Virginia Tech Fall 2016 Brief Review So far we have covered the fundamental ideas and techniques of statistical inference: I Foundations of random sampling I Probability and random variables I Sampling distributions I Con▯dence intervals and (one sample) hypothesis tests for a single mean. A Two-Sample Example In a ▯eld trial, a total of twenty plots are available. By random assignment, 1= 8 plots will be treated with Fertilizer A and n2= 12 plots with Fertilizer B. Yields in the plots are recorded. We have two populations: I All plots treated with Fertilizer A I All plots treated with Fertilizer B Two sets of population parameters: I m1,s1for yields from plots treated with Fertilizer A I m2,s2for yields from plots treated with Fertilizer B Two samples: I 8 plots treated with Fertilizer A I 12 plots treated with Fertilizer B Two sets of sample summary statistics I y1,s1for yields from 8 plots treated with Fertilizer A I y2,s2for yields from 8 plots treated with Fertilizer B Question: Are the average yields from the two fertilizers the same in general To test this, we can use the following hypotheses: H : m = m 0 1 2 H A m 16= m2