i. Yes, because the P-value is less than 0.05. 1. Yes, because the sample mean = 305°, which is much higher than 300°. 1. No, because a difference of 5° (between i and u) as compared to 300° is very sma. (insignificant). iv. No, because the P-value is greater than 0.05. 4. Question: Twelve runners are asked to run a 10-kilometer race on each of two consecutive weeks. In one of the races, the runners wear one brand of shoe and in the other a different brand. The brand of shoe they wear in which race is determined at random. All runners are timed and are asked to run their best in each race. The results (in minutes) are given below: 2. Runner Brand 1 Brand 2 Difference 0.79 F0:35 30.63 0.13 32.67 b.47 32.95 -D113 D.01 0.15 31.10 D 05 33.120.12 29.50 -O17 31.23 32.02 29.33 28.98 30.50 32.20 33.08 31.52 31.53 30.68 30.83 31.05 33.00 10 29.67 11 30.55 30.57 DID2 12 32.12 32.20 108 df.n-1: 1 374.98/ 3761 Use the sign test for matched pairs to determine if there is evidence that times using Brand 1 tend to be faster than times using Brand 2. (a) What are the hypotheses we wish to test? (i.) Ho : µ = 0 versus Ha : u > 0, where u =the mean of the differences in running %3D times (Brand 2-Brand 1) for all runners who run this race twice wearing the two brands of shoes. = the proportion of running times using ii. Ho : p = versus Ha : p + ;, where Brand 1 that are faster than times using Brand 2. %3D , where = the proportion of running times using iii. Ho : p = versus Ha :p > Brand 1 that are faster than times using Brand 2. %3D iv. Ho: population median =0 versus Ha: population median # 0, where the median of the differences in running times for all runners who run this race twice wearing the two brands of shoes is measured for Brand 2-Brand 1. (b) What is the (approximate) value of the P-value? (c) Determine which of the following statements is true. 1234 5678 9

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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How do I get the p-value when t= 0.19

Transcribed Image Text:i. Yes, because the P-value is less than 0.05. 1. Yes, because the sample mean = 305°, which is much higher than 300°. 1. No, because a difference of 5° (between i and u) as compared to 300° is very sma. (insignificant). iv. No, because the P-value is greater than 0.05. 4. Question: Twelve runners are asked to run a 10-kilometer race on each of two consecutive weeks. In one of the races, the runners wear one brand of shoe and in the other a different brand. The brand of shoe they wear in which race is determined at random. All runners are timed and are asked to run their best in each race. The results (in minutes) are given below: 2. Runner Brand 1 Brand 2 Difference 0.79 F0:35 30.63 0.13 32.67 b.47 32.95 -D113 D.01 0.15 31.10 D 05 33.120.12 29.50 -O17 31.23 32.02 29.33 28.98 30.50 32.20 33.08 31.52 31.53 30.68 30.83 31.05 33.00 10 29.67 11 30.55 30.57 DID2 12 32.12 32.20 108 df.n-1: 1 374.98/ 3761 Use the sign test for matched pairs to determine if there is evidence that times using Brand 1 tend to be faster than times using Brand 2. (a) What are the hypotheses we wish to test? (i.) Ho : µ = 0 versus Ha : u > 0, where u =the mean of the differences in running %3D times (Brand 2-Brand 1) for all runners who run this race twice wearing the two brands of shoes. = the proportion of running times using ii. Ho : p = versus Ha : p + ;, where Brand 1 that are faster than times using Brand 2. %3D , where = the proportion of running times using iii. Ho : p = versus Ha :p > Brand 1 that are faster than times using Brand 2. %3D iv. Ho: population median =0 versus Ha: population median # 0, where the median of the differences in running times for all runners who run this race twice wearing the two brands of shoes is measured for Brand 2-Brand 1. (b) What is the (approximate) value of the P-value? (c) Determine which of the following statements is true. 1234 5678 9

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