6) A nutritionist claims that a new diet plan will help participants lose at least 5 pounds on average. A sample of 20 participants loses an average of 3 pounds with a standard deviation of 2 pounds. Using a one-sample t-test, determine whether there's evidence to support the nutritionist's claim at a 99% confidence level.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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6) A nutritionist claims that a new diet plan will help participants lose at least 5 pounds on average. A sample of
20 participants loses an average of 3 pounds with a standard deviation of 2 pounds. Using a one-sample t-test,
determine whether there's evidence to support the nutritionist's claim at a 99% confidence level.
Transcribed Image Text:6) A nutritionist claims that a new diet plan will help participants lose at least 5 pounds on average. A sample of 20 participants loses an average of 3 pounds with a standard deviation of 2 pounds. Using a one-sample t-test, determine whether there's evidence to support the nutritionist's claim at a 99% confidence level.
Expert Solution
Step 1: Introduction of the given problem

Sample mean x with bar on top equals 3

Standard deviation sigma equals 2

Sample size n equals 20

Confidence levelspace C L equals 99 percent sign

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