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.

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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.
а.
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
answer.
b.
Calculate and interpret a 90% confidence interval for u.
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. а. 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 answer. b. Calculate and interpret a 90% confidence interval for u.
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: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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