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A liquid dietary product implies in its advertising that
Chapter 10, Problem 97SE(choose chapter or problem)
A liquid dietary product implies in its advertising that using the product for one month results in an average weight loss of at least 3 pounds. Eight subjects use the product for one month, and the resulting weight loss data follow. Use hypothesis-testing procedures to answer the following questions.
(a) Do the data support the claim of the dietary product’s producer with the probability of a type I error set to 0.05?
(b) Do the data support the claim of the dietary product’s producer with the probability of a type I error set to 0.01?
(c) In an effort to improve sales, the producer is considering changing its claim from “at least 3 pounds” to “at least 5 pounds.” Repeat parts (a) and (b) to test this new claim.
Questions & Answers
QUESTION:
A liquid dietary product implies in its advertising that using the product for one month results in an average weight loss of at least 3 pounds. Eight subjects use the product for one month, and the resulting weight loss data follow. Use hypothesis-testing procedures to answer the following questions.
(a) Do the data support the claim of the dietary product’s producer with the probability of a type I error set to 0.05?
(b) Do the data support the claim of the dietary product’s producer with the probability of a type I error set to 0.01?
(c) In an effort to improve sales, the producer is considering changing its claim from “at least 3 pounds” to “at least 5 pounds.” Repeat parts (a) and (b) to test this new claim.
ANSWER:
Step 1 of 5
We have,
Subject |
Initial weight (lb) |
Final weight (lb) |
difference |
1 |
165 |
161 |
4 |
2 |
201 |
195 |
6 |
3 |
195 |
192 |
3 |
4 |
198 |
193 |
5 |
5 |
155 |
150 |
5 |
6 |
143 |
141 |
2 |
7 |
150 |
146 |
4 |
8 |
187 |
183 |
4 |
Average |
4.125 |
||
Standard deviation |
1.246423 |