Automobile insurance companies take many factors intoconsideration when setting rates. These factors include age,marital status and miles driven per year. To determine the effectof gender, a random sample of young (under 25, with at least 2years of driving experience) male and female drivers was surveyed.Each was asked how many miles he or she had driven in the pastyear. The distances (in thousands of miles) are stored in stackedformat (column 1= driving distances and column 2 identifies genderwhere 1=male and 2=female). (Assume equal variances.) (a) Can weconclude that male & female drivers differ in the numbers ofmiles driven per year? (you need to compute the sample means andsample standard deviations for each gender in the Excel Workbookthat comes with this exercise. Use ”=AVERAGE()” and ”=STDEV()”formulas. This also applies to exercises further below.) (b)Estimate with 95% confidence the difference in mean distance drivenby male and female drivers.

Men	Women	Diff
75.45	155.84	-80.39
1869.44	1420.88	448.56
487.22	267.56	219.66
1529.57	1843.48	-313.91
423.12	338.49	84.63
279.68	757.35	-477.67
794.43	442.36	352.07
1.13	329.31	-328.18
56.78	305.57	-248.79
699.41	514.4	185.01
1278.74	1048.98	229.76
395.54	526.7	-131.16
2217.96	2404.58	-186.62
996.27	622.56	373.71
640.77	459.78	180.99
1866.03	1777.64	88.3899999999999
587.89	807.67	-219.78
520.63	726.32	-205.69
1477.49	1609.63	-132.14
392.41	1298.86	-906.45
1724.05	1350.07	373.98
506.07	608.41	-102.34
1357.56	1155.45	202.11
259.9	406.43	-146.53
432.8	-12.14	444.94
3033.65	3450	-416.35
978.01	792.47	185.54
1953.09	1828.4	124.69
722.98	1069.65	-346.67
1806.8	2237.03	-430.23
1031.63	1184.15	-152.52
-86.52	319.43	-405.95
1828.28	1845.77	-17.49
2408.31	2734.14	-325.83
2676.72	2523.3	153.42
1870.92	1235.51	635.41
2751.37	3183.55	-432.18
1405.73	1746.62	-340.89
1530.83	1114.66	416.17
1796.1	2091.21	-295.11
2537.42	2844.19	-306.77
1291.7	1216.35	75.3500000000001
1013.79	870.75	143.04
1443.57	1509.97	-66.4000000000001
1822.24	1656.05	166.19