Is honey a cough remedy? Refer to the Archives

Chapter 15, Problem 53E

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QUESTION:

Is honey a cough remedy? Refer to the Archives of Pediatrics and Adolescent Medicine (Dec. 2007) study of honey as a children’s cough remedy, Exercise 15.28 (p. 15-17). In addition to the two experimental groups of children with an upper respiratory tract infection—one that was given a dosage of dextromethorphan (DM) and the other a similar dose of honey—a third group of children received no dosage (control group). The cough symptoms improvement scores for the children are reproduced in the accompanying table. Conduct a nonparametric test to compare the distributions of cough improvement scores for the three dosage groups. Use \(\alpha=.01\).

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QUESTION:

Is honey a cough remedy? Refer to the Archives of Pediatrics and Adolescent Medicine (Dec. 2007) study of honey as a children’s cough remedy, Exercise 15.28 (p. 15-17). In addition to the two experimental groups of children with an upper respiratory tract infection—one that was given a dosage of dextromethorphan (DM) and the other a similar dose of honey—a third group of children received no dosage (control group). The cough symptoms improvement scores for the children are reproduced in the accompanying table. Conduct a nonparametric test to compare the distributions of cough improvement scores for the three dosage groups. Use \(\alpha=.01\).

ANSWER:

Step 1 of 3

We have the data regarding the cough symptoms' improvement scores for the children.

Here we have to test distribution of cough improvement scores for the three dosage

group.

Under this the null and alternative hypotheses are

 The probability distributions for the three treatments are identical.

                                                    Vs

 At least two of the probability distributions differ in location.

Level of significance  = 0.01

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