4. Use the Rank-Sum Test comparing prices of Red Sox and White Sox tickets Red Sox: 12 14 17 12 20 25 25 20 18 16 White Sox: 10 8 14 22 19 8 11 17 a) State the Null Hypothesis: b) Compute the test-statistic: c) Compute the P-value
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a)
The hypotheses are given below:
Null hypothesis:
H0: That is, there is no significant difference between the prices of Red Sox and White Sox tickets.
Alternative hypothesis:
Ha: That is, there is significant difference between the prices of Red Sox and White Sox tickets.
b)
The test statistics is obtained below:
The sum of the ranks for Red Sox can be denoted as W. The Mann–Whitney–Wilcoxon test is conducted using Wilcoxon statistic W as the test statistics.
The sum of the ranks for Red Sox is W = 55.
Thus, the test statistics is W = 55.
The P-value is obtained below:
Here, the sample sizes n1 = 10 and n2 = 8 are greater than 7. Thus, the distribution of W can be approximated as normal.
The Mean is obtained below.
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