Question

Jennifer’s manager Dr. Jonathan Steinberg wonders whether Healthy Life members needed more chiropractic help in 2020 than in 2019, on average. Jennifer selected a random sample of those who were treated by chiropractic doctors in both years. Data provided. Please help Jennifer Nguyen to check whether annual expenses and number of visits increased, on average. For both tests use Data Analysis t-Test: Paired Two Sample for Means and 5% significance level. Jennifer Nguyen and her manager know that in both cases differences are normally distributed, so here again there is no need to build histograms.

	Number of Visits			Annual Expenses
Patient #	2019	2020		2019	2020
1	13	14		$440.00	$475.00
2	15	14		$560.00	$476.00
3	24	25		$816.00	$850.00
4	7	4		$238.00	$136.00
5	11	10		$374.00	$340.00
6	19	22		$646.00	$748.00
7	18	15		$612.00	$510.00
8	4	3		$136.00	$152.00
9	25	24		$850.00	$816.00
10	31	34		$1,054.00	$1,190.00
11	7	7		$298.00	$238.00
12	8	10		$272.00	$366.00
13	17	15		$578.00	$510.00
14	10	12		$340.00	$408.00
15	14	15		$476.00	$510.00
16	22	20		$748.00	$680.00
17	6	5		$204.00	$170.00
18	21	23		$774.00	$816.00
19	15	16		$510.00	$570.00
20	12	13		$408.00	$468.00
21	3	4		$140.00	$120.00
22	11	10		$450.00	$420.00
23	2	0		$90.00	$0.00
24	2	4		$80.00	$160.00
25	5	4		$210.00	$200.00