Question

	Year
Month	2015	2016
1	4825	5262
2	4752	5435
3	4948	5481
4	5041	6081
5	5300	5936
6	5232	5627
7	5151	5856
8	5585	5763
9	5520	5924
10	5136	5787
11	5077	5474
12	5300	5699

b. You want to answer the question: Is there a difference in the average number of patients being seen in the emergency room between 2015 and 2016?
Why would an independent samples t-test be most appropriate?
c. State your null and alternative hypothesis in words and symbols for an independent samples t-test.
	H0:
	Ha:
	H0:
	Ha:
		t-Test: Two-Sample Assuming Unequal Variances

Answer 1

Here monthly data given on number of patients of year 2015 and 2016 in emergency room.

Here we want to test the avg no patients of the year 2015 and 2016 are equal or not. For this purpose independent sample t-test is most appropriate.

Cause:- By independent sample t-test we actually test the equality of location of 2 independent set of sample data. Here the number of patients in emergency for the year 2015 is independent to the number of patients for the year 2016.

Null hypothesis and Alternative hypothesis:-

H_{​​​​​​0}​​​​​​​​​​: Avg number of patients in emergency room for the year 2015 is equal to the avg number patients in emergency room for the year 2016.

VS

H_{​​​​​​1}: Avg number of patients in emergency room for the year 2015 is unequal to the avg number of patients in emergency room for the year 2016.