On a late-night infomercial, a new dealer of pre-packaged diet meals and non-FDA approved diet supplements promises viewers that they will lose an average of at least 20 pounds in just six weeks (individual results may vary). A consumer watchdog who watches too much late-night TV wants to dispute this claim. She digs up a random sample of 16 wannabe weight losers who have used these products for six weeks. The number of pounds lost by each of these people is as follows: 18 19 22 17 15 23 18 19 19 17 20 18 19 22 17 18 Upon consulting a nutritional expert, she also receives assurance that it is reasonable to assume σ = 2.4 for the population of consumers of this supplement.State carefully the conclusion you would reach at the 5% level of significance. **Statistical Analysis of Diet Supplement Claims**A new dealer of pre-packaged diet meals and non-FDA approved diet supplements claims that users will lose an average of at least 20 pounds in just six weeks. A consumer watchdog aims to dispute this claim by examining a random sample of 16 users over six weeks. Here is the weight loss data for each individual:18, 19, 22, 17, 15, 23, 18, 19, 17, 20, 18, 19, 22, 17, 12, 18Given:- Standard deviation (σ) = 2.4 for the population.**Analysis Tasks:**a) **Find the Sample Mean:** - Calculate the average weight loss from the data provided.b) **Hypothesis Testing:** - Determine if the data provides strong evidence that the true mean weight loss is less than 20 pounds. - **Hypotheses:** - Null Hypothesis (H₀): μ = 20 - Alternative Hypothesis (H₁): μ < 20 - Identify the test statistic and determine the P-value.c) **Conclusion at the 1% Significance Level:** - Based on the P-value, decide whether to reject or fail to reject the null hypothesis.d) **Conclusion at the 5% Significance Level:** - Analyze the results and state the conclusion at this different level of significance.**Note:** Remember to interpret the statistical results in the context of the claim made by the diet supplement dealer.

Answered: Image /qna-images/answer/a0975161-cfbf-4718-ad7c-ac14d13465da.jpg

Answered: 3) On a late-night infomercial, a new…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Concept explainers

Question

On a late-night infomercial, a new dealer of pre-packaged diet meals and non-FDA approved diet supplements promises viewers that they will lose an average of at least 20 pounds in just six weeks (individual results may vary). A consumer watchdog who watches too much late-night TV wants to dispute this claim. She digs up a random sample of 16 wannabe weight losers who have used these products for six weeks. The number of pounds lost by each of these people is as follows: 18 19 22 17 15 23 18 19 19 17 20 18 19 22 17 18 Upon consulting a nutritional expert, she also receives assurance that it is reasonable to assume σ = 2.4 for the population of consumers of this supplement.

State carefully the conclusion you would reach at the 5% level of significance.

**Statistical Analysis of Diet Supplement Claims**

A new dealer of pre-packaged diet meals and non-FDA approved diet supplements claims that users will lose an average of at least 20 pounds in just six weeks. A consumer watchdog aims to dispute this claim by examining a random sample of 16 users over six weeks. Here is the weight loss data for each individual:

18, 19, 22, 17, 15, 23, 18, 19, 17, 20, 18, 19, 22, 17, 12, 18

Given:
- Standard deviation (σ) = 2.4 for the population.

**Analysis Tasks:**

a) **Find the Sample Mean:**
- Calculate the average weight loss from the data provided.

b) **Hypothesis Testing:**
- Determine if the data provides strong evidence that the true mean weight loss is less than 20 pounds.
- **Hypotheses:**
- Null Hypothesis (H₀): μ = 20
- Alternative Hypothesis (H₁): μ < 20
- Identify the test statistic and determine the P-value.

c) **Conclusion at the 1% Significance Level:**
- Based on the P-value, decide whether to reject or fail to reject the null hypothesis.

d) **Conclusion at the 5% Significance Level:**
- Analyze the results and state the conclusion at this different level of significance.

**Note:** Remember to interpret the statistical results in the context of the claim made by the diet supplement dealer.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Point Estimation, Limit Theorems, Approximations, and Bounds$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.

Similar questions