Econ 106 Problem Set 13 Read these instructions carefully! Carefully answer each of the questions below. You need to show your work, not just the final answer You can write or type your answers for the questions Please put your name and PSU User Name (ex: abc123) at the top of the 1st page. You may use as many sheets of paper as you need. When you are finished, scan your entire document (including the parts you typed and the parts done by hand). Save the file on your computer (.PDF format preferred) and then upload it to the ANGEL dropbox for this homework assignment. ________________________________________________________________________ 1) Text: 9.24, 9.32, 9.34, 9.37, 9.42, 10.4, 10.7 2) Fill in the blanks of the following table. The idea of the table is to summarize the different distributions of sample statistics. Note that this table is useful for both confidence intervals and hypothesis testing. Sample Statistic X X p Population Variance Given (x2) s2 2 sX = X n Distribution of Sample Statistic Standard Normal (z) t w/ n-1 d.f. 2 sd = pairs independent samples d, independent samples Variance of Sample Statistic Unknown, use sample variance (sx2) Unknown d , matched d, Expected Value x Transformation z= t= X - mx sx t w/ n-1 d.f. 2 sd n Given (x2, y2) z= 2 d s = s2 = p s2 p nx X - mx sx + s2 p ny 2 2 (nx - 1) sx +(n y - 1) s y nx +ny - 2 X - mx sd t-dist with (*) d.f. d, independent samples * d. f . = 2 2 sx s y 2 ( + ) nx n y 2 2 sy 2 sx 2 (n ) (n ) x + y nx - 1 n y - 1