Pediatric researchers at Penn State carried out a designed study to test whether

Question

Pediatric researchers at Penn State carried out a designed study to test whether a teaspoon of honey before bed calms a child's cough. A sample of 105 children who were ill with an upper respiratory tract infection participated in the study. Parents rated their children's cough before receiving a treatment. Then, the parents gave the children either dextromethorphan (DM), honey (H), or nothing (control, C) before bed and the improvement in cough was recorded. A one-way ANOVA was conducted and some summary statistics and the ANOVA table are provided: Analysis of Variance t(0.005, 102) = 2.201; t(.005, 102) = 2.625; t(.005, 36) = 2.719 Does it appear that the mean improvement in cough is significantly different between the treatments at the 0.05 significance level? Use the p-value to make a conclusion and interpret. Use the Bonferroni method to create confidence intervals for the treatment mean differences with an experiment wise confidence level of 97%. Do you agree with the statement, "Honey may be a preferable treatment for the cough and sleep difficulty associated with childhood upper respiratory tract infection"?

Explanation / Answer

a)

p-value for this is =0.00000029

as the p value is much smaller than 0.05 we can say that the mean improvment in cough is significantly different between the treatment at 0.05 significance level.

b)

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