1)Analyzing the most recent data, your manager Dr. Lim found out that in 2022 the anti-cancer prescription drug claims submitted by the company clients contained amounts considerably greater than he had anticipated. Specifically, he asked you to check whether patients with Oncotype DX scores over 30 claimed, on average, more than $1614$1614 in 2022. Using the systematic sampling method you selected 75 patients from this category (see the data below).

1127.65	2384.65	2407.69	1525.73	1749.33
746.03	449.12	638.48	1806.53	1642.73
953.96	810.56	2102.41	695.84	1915.73
918.11	3117.23	1741.53	566.78	1705.13
2806.1	1671.33	1060.77	2615.76	2073.61
1798.73	2763.12	2658.74	1525.73	910.94
1559.53	1437.73	1389.09	1462.05	3255.23
824.9	1720.73	1285.73	2390.41	2027.53
1310.05	2787.68	1723.33	2275.21	1650.53
1525.73	2554.36	1431.65	2735.49	1170.21
695.84	1006.05	2102.41	1097.25	2591.2
2674.09	1733.73	476.91	1575.13	2661.81
3324.23	1767.53	409.01	1237.09	2142.73
2102.41	2039.05	1920.93	1569.93	2240.65
1842.93	3243.73	1840.33	2188.81	1855.93

Part I. As you know, you have to make sure that the distribution of data is symmetric and bell-shaped in order to use t-distribution for testing hypotheses regarding population means. Otherwise you have to use nonparametric methods for data analysis. Suppose that your colleague constructed the following histogram with the corresponding frequency table.

Bin	Frequency
500	3
1000	10
1500	12
2000	23
2500	13
3000	10
More	4