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Which of the following are the critical r values in the analysis (two-tailed and a = .05)? 1.6321 1.6661 1.5761 1.6021

Which of the following are the critical r values in the analysis (two-tailed and a = .05)? 1.6321 1.6661 1.5761 1.6021

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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### Analysis of Relationship Between Number of Shots Made and Obstacle Course Time A student in PSYC 227 class collects data for a class project. She asks 10 classmates to shoot 10 free throws on a standard basketball court and records the number of shots made by each participant (X). She also has these same participants run an obstacle course and records their time (Y). She wants to statistically evaluate if variables X and Y are related. She computes the sum of squared deviations for X, the sum of squared deviations for Y, and the sum of cross products between X and Y. The table below presents the computations: | (X – \( \overline{X} \))² | (Y – \( \overline{Y} \))² | (X – \( \overline{X} \))(Y – \( \overline{Y} \)) | |---------------------------|--------------------------|-----------------------------------------------| | 3.24 | 15.21 | -7.02 | | 7.84 | 0.81 | -2.52 | | 1.44 | 16.81 | -4.92 | | 10.24 | 4.41 | -6.72 | | 0.04 | 9.61 | -0.62 | | 0.64 | 8.41 | -2.32 | | 3.24 | 15.21 | -7.02 | | 1.44 | 0.01 | -0.12 | | 0.04 | 4.41 | -0.42 | | 0.64 | 3.61 | -1.52 | The sums of each column are calculated as follows: - Sum of squared deviations for X: 28.8 - Sum of squared deviations for Y: 78.5 - Sum of cross products between X and Y: -33.2 ### Statistical Analysis To understand the statistical relationship between X (number of shots made) and Y (obstacle course time), we need the critical r values for the analysis (two-tailed and \( \alpha = 0.05 \)). Here are the options provided: - \( |0.632| \) - \( |0.666
Transcribed Image Text:### Analysis of Relationship Between Number of Shots Made and Obstacle Course Time A student in PSYC 227 class collects data for a class project. She asks 10 classmates to shoot 10 free throws on a standard basketball court and records the number of shots made by each participant (X). She also has these same participants run an obstacle course and records their time (Y). She wants to statistically evaluate if variables X and Y are related. She computes the sum of squared deviations for X, the sum of squared deviations for Y, and the sum of cross products between X and Y. The table below presents the computations: | (X – \( \overline{X} \))² | (Y – \( \overline{Y} \))² | (X – \( \overline{X} \))(Y – \( \overline{Y} \)) | |---------------------------|--------------------------|-----------------------------------------------| | 3.24 | 15.21 | -7.02 | | 7.84 | 0.81 | -2.52 | | 1.44 | 16.81 | -4.92 | | 10.24 | 4.41 | -6.72 | | 0.04 | 9.61 | -0.62 | | 0.64 | 8.41 | -2.32 | | 3.24 | 15.21 | -7.02 | | 1.44 | 0.01 | -0.12 | | 0.04 | 4.41 | -0.42 | | 0.64 | 3.61 | -1.52 | The sums of each column are calculated as follows: - Sum of squared deviations for X: 28.8 - Sum of squared deviations for Y: 78.5 - Sum of cross products between X and Y: -33.2 ### Statistical Analysis To understand the statistical relationship between X (number of shots made) and Y (obstacle course time), we need the critical r values for the analysis (two-tailed and \( \alpha = 0.05 \)). Here are the options provided: - \( |0.632| \) - \( |0.666
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