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A fitness trainer wants to test whether a new workout routine is effective in improving muscle strength. He randomly selects 6 clients and records their percentage strength improvements after following the routine for one month. The data is shown below: y₁ = 1.5, y₂ = 2.3, y3 = 0.8, y₁ = 2.7, y = 1.1, y6 = 1.9 with: = Σy 10.3 and Σy? = 20.95 Assume that the percentage strength improvements follow a normal distribution. (a) Compute the sample mean and sample standard deviation. (b) Construct a 95% confidence interval for the mean percentage strength improvement.

A fitness trainer wants to test whether a new workout routine is effective in improving muscle strength. He randomly selects 6 clients and records their percentage strength improvements after following the routine for one month. The data is shown below: y₁ = 1.5, y₂ = 2.3, y3 = 0.8, y₁ = 2.7, y = 1.1, y6 = 1.9 with: = Σy 10.3 and Σy? = 20.95 Assume that the percentage strength improvements follow a normal distribution. (a) Compute the sample mean and sample standard deviation. (b) Construct a 95% confidence interval for the mean percentage strength improvement.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter9: Solving Quadratic Functions
Section: Chapter Questions
Problem 4CA
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A fitness trainer wants to test whether a new workout routine is effective in improving muscle strength. He randomly selects 6 clients and records their percentage strength improvements after following the routine for one month. The data is shown below: y₁ = 1.5, y₂ = 2.3, y3 = 0.8, y₁ = 2.7, y = 1.1, y6 = 1.9 with: = Σy 10.3 and Σy? = 20.95 Assume that the percentage strength improvements follow a normal distribution. (a) Compute the sample mean and sample standard deviation. (b) Construct a 95% confidence interval for the mean percentage strength improvement.
Transcribed Image Text:A fitness trainer wants to test whether a new workout routine is effective in improving muscle strength. He randomly selects 6 clients and records their percentage strength improvements after following the routine for one month. The data is shown below: y₁ = 1.5, y₂ = 2.3, y3 = 0.8, y₁ = 2.7, y = 1.1, y6 = 1.9 with: = Σy 10.3 and Σy? = 20.95 Assume that the percentage strength improvements follow a normal distribution. (a) Compute the sample mean and sample standard deviation. (b) Construct a 95% confidence interval for the mean percentage strength improvement.
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