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.
Correct Answer:
Verified
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