University:
Missouri State University
Course:
MTH 343 | Foundations of Probability and Statistics for Teachers
Academic year:

2021
Views:

324

Pages:

3
Author:

Trevon Bernard

Unit 7 Inference for Means Chapter 25 Paired Samples and Blocks Day 3: matched pair t samples Warm up MC #23, 24 In a matched pairs situation, the SAME SUBJECTS/UNITS are doing BOTH treatments! Find the difference of "after minus before and then just do a 1-sample confidence interval or hypothesis test overline x pm t^ * s/(sqrt(n)) t= overline x_{i} - mu_{i} s sqrt n (a) Find the difference between partest and protest scor 12 10 24 17 Post-pre (10) Fud the men difference of senres. Final the stand of diff of swores. 3x-40 overline x_{0} = 2 SE = S sqrt n = 3,112 sqrt(20) = (Find a 00% confidence interval for the to improvmont is the air pupulention. M_{\mathcal{W}} = r_{m} - phi_{0}*d SRS 21203 (797,3203) overline x 0 pm t^ * 5/(sqrt(n)) 2 plus/minus (1729) * (3.14/60) 11.95.191 1.72 C = 0.9 matched pair t test K = mu_{2} = 0 H = mu_{0} > 0 mu_{0} = 1 αήτωνain port and pire test sumes t=2.874172849 a = 0.0048570317 Sx = 3.111946421 overline x_{0} = 2 I reject the null hypothesis. There is evidence to suggest the mean difference in post and pretest scores is greater than 0. However, there are outliers in the data, so this result is questionable. What to remember about matched pairs? 1. Two measurements on EACH individual 2. "After minus Before" new-old 3. Analyze the differences using a 1-sample confidence interval and/or hypothesis test mu_{0} = 0 Ha Ho D assumptions checked matched pair t test T-Test 1-2.903732389 overline x = - 13 ,32 5x = 22, 93599791 alpha = 25 Based on my sample, I reject the null hypothesis that the mean difference is zero. There is evidence to suggest that mean time with right threads is less than left threads On the back of the handout mean difference of right thread and left thread mu_{0} = 1 randomization-not indicated n = 25 chack for outfiersl matched pair t-interval 52 -31 125 38 TInterval (-22.79.-3.852) z = - 13 \$ x = 22 n = 25 I am 95% confident that the true mean difference in right thread is between 22.79 LESS and 3.852 LESS seconds than left thread. Classwork/Homework p. 602 #21, 23, 25, 27