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An Article Proving Effectiveness of a New Hair Growth Shampoo

Question 38

Multiple Choice

An article proving effectiveness of a new hair growth shampoo was published on a producer's website. The producer states that two samples were compared, both consisted of 35 subjects. One group used the new shampoo, while the other used a shampoo without the components that activate hair growth. Both groups used the products three times a week. After a month, hair growth was measured for both samples. The producer declares that their shampoo significantly increases hair growth, because the P-value was less than 0.001 in a paired t test at a 0.01 significance level. The article also provided the following information on hair growth for the two experimental groups. ​ An article proving effectiveness of a new hair growth shampoo was published on a producer's website. The producer states that two samples were compared, both consisted of 35 subjects. One group used the new shampoo, while the other used a shampoo without the components that activate hair growth. Both groups used the products three times a week. After a month, hair growth was measured for both samples. The producer declares that their shampoo significantly increases hair growth, because the P-value was less than 0.001 in a paired t test at a 0.01 significance level. The article also provided the following information on hair growth for the two experimental groups. ​   ​ Is the producer's statement about the effectiveness of the product correct? ​ A)  Yes, since it is consistent with the results of the study. B)  No, because the difference was likely to occur due to a coincidence. C)  No, because the two-sample t test should have been conducted. D)  No, because the announced P-value is incorrect. E)  The data provided was not enough. ​ Is the producer's statement about the effectiveness of the product correct? ​


A) Yes, since it is consistent with the results of the study.
B) No, because the difference was likely to occur due to a coincidence.
C) No, because the two-sample t test should have been conducted.
D) No, because the announced P-value is incorrect.
E) The data provided was not enough.

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