Question A
A recent research studies the effectiveness of honey as a cough remedy for children. In the study, 7
children who were ill with an upper respiratory tract infection were given a dosage of dextromethorphan
(DM)—an over-the-counter cough medicine; a separate group of 8 children with similar symptoms were
given a similar dose of honey. Parents then rated their children’s improvement in cough symptoms
using a 5-point system, where 1 indicates no improvement and 5 indicate greatest improvement. The
improvement scores are in T7 (sheet Question A). Is DM more effective than honey in treating cough?
Use the rank sum test to analyze the data (use = .05).
Question B
Use the Wilcoxon rank sum test to decide whether or not you reject the null at the 5% level in the
following examples.
- The sample sizes are nA = 6; nB = 7, and rank sums from samples are WA = 61 and WB = 30.
The hypotheses are
H0 : The two populations location are the same
HA : The location of pop A is different from the location of pop B - The sample sizes are nA = 6; nB = 7, and rank sums from samples are WA = 55 and WB = 36.
The hypotheses are
H0 : The two populations location are the same
HA : The location of pop A is to the left from the location of pop B - The sample sizes are nA = 30; nB = 35, and rank sums from samples are WA = 1085 and
WB = 1060. The hypotheses are
H0 : The two populations location are the same
HA : The location of pop A is to the right from the location of pop B
Question C
A group a 20 consumers are asked to rate the softness of two brands of toilet paper. Each consumer
rated both brand on a scale of 1 to 7 with higher ratings implying a softer product. The scores are
recorded in T7.xlsx (sheet Question C). Are there any difference in the softness of the two brands?
Use an appropriate hypothesis test to analyze the data (use = .05).
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