Question

Question 2. (Wilcoxon Rank Sum Test) A random sample of n1 = 16 communities in western Kansas gave the following information for people under 25 years of age. x1 : Rate of hay fever per 1,000 population for people under 25 98 90 120 128 92 123 112 93 125 95 125 117 97 122 127 88 A random sample of n2 = 14 regions in western Kansas gave the following information for people over 50 years old. x2 : Rate of hay fever per 1,000 population for people over 50 95 110 101 97 112 88 110 79 115 100 89 114 85 96 Does the data indicate that the age group over 50 years of age has a lower rate of hay fever? Perform this test in Minitab and be sure to show full details. Use a significance level of 0.05. (15 points)

Answer 1

The Minitab output is:

The p-value is 0.035.

Since the p-value (0.035) is less than the significance level (0.05), we can reject the null hypothesis.

Therefore, we can conclude that the age group over 50 years of age has a lower rate of hay fever.