A study of fox rabies in southern Germany gave information about different regions and the occurrence of rabies in each region. Based on information from this article, a random sample of n1 = 16 locations in region I gave the following information about the number of cases of fox rabies near that location:
x1: Region I data

A second random sample of n2 = 15 locations in region II gave the following information about the number of cases of fox rabies near that location:
x2: Region II data

Use a calculator with sample mean and sample standard deviation keys to verify that 1 = 4.75 with s1 ‰ˆ 2.82 in region I and 2 ‰ˆ 3.93 with s2 ‰ˆ 2.43 in region II.
(a) Does this information indicate that there is a difference (either way) in the mean number of cases of fox rabies between the two regions? Use a 5% level of significance. (Assume the distribution of rabies cases in both regions is mound-shaped and approximately normal.)
(b) Find a 95% confidence interval for μ1 - μ2. Explain the meaning of the confidence interval in the context of the problem.
Please provide the following information for problem part (a):
(i) What is the level of significance? State the null and alternate hypotheses.
(ii) What sampling distribution will you use? What assumptions are you making? What is the value of the sample test statistic?
(iii) Find (or estimate) the P-value. Sketch the sampling distribution and show the area corresponding to the P-value.
(iv) Based on your answers in parts (i) €“ (iii), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level α?
(v) Interpret your conclusion in the context of the application.

Transcribed Image Text:

2 6 45 2 2 1 4