Three treatments for fever blisters, including a placebo (A), were randomly assigned to 15 patients. The data below show, for each treatment, the numbers of days from initial appearance of the blisters until healing is complete Treatment Number of days A 5 8 7 7 8 B 4 6 6 3 5 C 7 4 6 6 5 REQUIRED Test the hypothesis, at the 5% significance level, that there is no difference between the three treatments with respect to mean time of healing.
Three treatments for fever blisters, including a placebo (A), were randomly assigned to 15 patients. The data below show, for each treatment, the numbers of days from initial appearance of the blisters until healing is complete
|
Treatment |
Number of days |
||||
|
A |
5 |
8 |
7 |
7 |
8 |
|
B |
4 |
6 |
6 |
3 |
5 |
|
C |
7 |
4 |
6 |
6 |
5 |
REQUIRED
Test the hypothesis, at the 5% significance level, that there is no difference between the three treatments with respect to mean time of healing.
(b) After studying a couple's family history, a doctor determines that the probability of any child born to this couple having a gene for disease X is 2 out of 5. If the couple has three children, what is the probability that two of the children have the gene for disease X?
(c) A researcher observes a sequence of 20 patients attending at a clinic. The researcher would now like to determine whether or the sequence is following a random sequence based on gender (M = Male and F = female).
F F M M F M F F F F M F F M M M M M F F
(i) Formulate the null and alternative hypotheses for the relevant test.
(ii) Determine the number of runs and show them.
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