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2. Data science blogger Lucas Soares wrote a post in which he documented his goal of averaging less than 30 seconds to solve a 3x3x3 Rubik's cube. On June 2, 2020 he solved the cube 30 different times, averaging 29.04 seconds with a standard deviation of 3.41 seconds. Since cubes are randomly scrambled before each solve, we will consider this a random sample of all cubes he could have solved that day. Does his performance on June 2 provide significant evidence that u, his true average solving speed at that time, was less than 30 seconds? Conduct a test with a = .10 to determine your а. answer. b. Calculate and interpret a 90% confidence interval for u.

2. Data science blogger Lucas Soares wrote a post in which he documented his goal of averaging less than 30 seconds to solve a 3x3x3 Rubik's cube. On June 2, 2020 he solved the cube 30 different times, averaging 29.04 seconds with a standard deviation of 3.41 seconds. Since cubes are randomly scrambled before each solve, we will consider this a random sample of all cubes he could have solved that day. Does his performance on June 2 provide significant evidence that u, his true average solving speed at that time, was less than 30 seconds? Conduct a test with a = .10 to determine your а. answer. b. Calculate and interpret a 90% confidence interval for u.

MATLAB: An Introduction with Applications
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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2. Data science blogger Lucas Soares wrote a post in which he documented his goal of averaging less than 30 seconds to solve a 3x3x3 Rubik’s cube. On June 2, 2020, he solved the cube 30 different times, averaging 29.04 seconds with a standard deviation of 3.41 seconds. Since cubes are randomly scrambled before each solve, we will consider this a random sample of all cubes he could have solved that day. a. Does his performance on June 2 provide significant evidence that μ, his true average solving speed at that time, was less than 30 seconds? Conduct a test with α = 0.10 to determine your answer. b. Calculate and interpret a 90% confidence interval for μ.
Transcribed Image Text:2. Data science blogger Lucas Soares wrote a post in which he documented his goal of averaging less than 30 seconds to solve a 3x3x3 Rubik’s cube. On June 2, 2020, he solved the cube 30 different times, averaging 29.04 seconds with a standard deviation of 3.41 seconds. Since cubes are randomly scrambled before each solve, we will consider this a random sample of all cubes he could have solved that day. a. Does his performance on June 2 provide significant evidence that μ, his true average solving speed at that time, was less than 30 seconds? Conduct a test with α = 0.10 to determine your answer. b. Calculate and interpret a 90% confidence interval for μ.
c. Based on your confidence interval in part b, you would have made a different conclusion about the hypotheses from part a than the test you conducted in part a (assuming you did everything correctly). In one or two sentences, explain the cause of these differing conclusions.
Transcribed Image Text:c. Based on your confidence interval in part b, you would have made a different conclusion about the hypotheses from part a than the test you conducted in part a (assuming you did everything correctly). In one or two sentences, explain the cause of these differing conclusions.
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