2- The employee database show City, Gender, Age, and Salary of 340 samples from a car manufacture company employee. a. With 95% confidence level, estimate the average salary of men in city A. Repeat your calculation for women in city C. b. Regardless of which city they are working, suppose you want to estimate the average salary of men with in 210 units with 99% confidence level. According to historical data you know the standard deviation of the salary is 5000. What sample size would be required? c. Estimate with 95% confidence the difference population mean of men and women's salary in city A.

3- Refer to the employee database in question 2. a. With 95% confidence level, can we conclude that the average salary of men in city A is higher than average salary of men in city C? b. Test whether there is sufficient evidence to show that the average age in men group is equal to women (regardless of which city they are working). Assume 90% confidence level. c. Are you agreed with this statement; "in city B, women employees are younger than men"? Use 99% confidence level.

City	Gender	Age	Salary
A	Male	31	113,016
A	Male	44	66,461
A	Male	40	63,613
A	Male	41	62,009
A	Male	42	108,526
A	Male	50	117,533
A	Male	30	79,824
A	Male	50	92,646
A	Male	30	91,635
A	Male	36	67,846
A	Male	30	66,810
A	Male	45	107,467
A	Male	41	93,685
A	Male	44	75,436
A	Male	43	65,561
A	Male	30	72,915
A	Male	33	64,838
A	Male	31	74,452
A	Male	42	60,843
A	Male	46	68,512
A	Male	42	98,280
A	Male	32	79,133
A	Male	44	117,607
A	Male	35	101,381
A	Male	42	103,461
A	Male	35	66,650
A	Male	48	119,386
A	Male	40	83,005
A	Male	31	95,681
A	Male	40	68,818
A	Female	44	110,264
A	Female	32	69,417
A	Female	36	109,286
A	Female	38	118,393
A	Female	41	63,576
A	Female	45	95,698
A	Female	30	67,235
A	Female	48	105,991
A	Female	40	62,474
A	Female	41	65,776
A	Female	35	104,351
A	Female	42	106,160
A	Female	31	77,065
A	Female	44	108,724
A	Female	39	94,761
A	Female	35	116,260
A	Female	41	82,375
A	Female	37	63,557
A	Female	42	93,090
A	Female	34	93,221
A	Female	35	57,667
A	Female	30	117,837
A	Female	30	96,373
A	Female	31	81,485
A	Female	45	74,539
A	Female	34	106,909
A	Female	32	78,238
A	Female	45	101,013
A	Female	37	77,411
A	Female	34	106,539
A	Female	36	100,788
A	Female	32	105,676
A	Female	37	94,892
A	Female	35	63,435
A	Female	48	112,646
A	Female	42	97,988
A	Female	50	113,181
A	Female	47	59,602
A	Female	40	100,714
A	Female	33	75,622
A	Female	32	89,726
A	Female	49	115,010
A	Female	34	112,720
A	Female	35	92,317
A	Female	30	113,053
A	Female	42	56,148
B	Male	36	74,084
B	Male	42	113,627
B	Male	49	64,994
B	Male	35	82,762
B	Male	34	55,856
B	Male	33	61,868
B	Male	50	76,984
B	Male	49	103,987
B	Male	40	63,588
B	Male	30	69,158
B	Male	47	71,163
B	Male	31	118,067
B	Male	36	61,891
B	Male	32	112,638
B	Male	30	62,448
B	Male	31	76,629
B	Male	32	82,797
B	Male	45	70,277
B	Male	35	57,718
B	Male	40	72,586
B	Male	33	116,063
B	Male	42	113,663
B	Male	42	113,382
B	Male	41	59,155
B	Male	43	72,115
B	Male	45	65,332
B	Male	48	60,556
B	Male	49	87,426
B	Male	40	79,533
B	Male	36	78,628
B	Male	32	114,414
B	Male	48	58,185
B	Male	39	104,493
B	Male	48	94,068
B	Male	48	102,190
B	Male	40	55,471
B	Male	39	65,790
B	Male	44	100,977
B	Male	37	100,068
B	Male	39	92,171
B	Male	47	77,774
B	Male	30	83,696
B	Male	49	105,371
B	Male	37	87,432
B	Male	35	97,007
B	Male	34	70,437
B	Male	37	71,161
B	Male	32	89,997
B	Female	42	105,859
B	Female	31	105,422
B	Female	32	114,661
B	Female	32	95,477
B	Female	45	89,135
B	Female	45	117,327
B	Female	37	75,924
B	Female	30	69,164
B	Female	41	118,540
B	Female	37	61,597
B	Female	41	70,201
B	Female	31	100,834
B	Female	36	91,197
B	Female	30	90,403
B	Female	46	79,642
B	Female	46	117,232
B	Female	34	86,797
B	Female	32	100,961
B	Female	35	56,223
B	Female	39	105,736
B	Female	36	60,180
B	Female	46	62,067
B	Female	31	92,014
B	Female	32	81,776
B	Female	50	91,080
B	Female	34	65,157
B	Female	36	99,643
B	Female	43	68,243
B	Female	38	68,664
B	Female	50	101,234
B	Female	31	83,952
B	Female	46	107,872
B	Female	33	80,092
B	Female	35	97,075
B	Female	31	69,771
B	Female	39	67,358
B	Female	38	106,271
B	Female	45	83,289
B	Female	38	119,323
B	Female	41	82,803
B	Female	50	64,200
B	Female	42	58,104
B	Female	43	114,544
B	Female	45	68,215
B	Female	36	70,571
B	Female	43	95,124
B	Female	42	117,955
B	Female	33	81,534
B	Female	30	113,900
B	Female	35	64,454
B	Female	37	65,829
B	Female	41	82,022
B	Female	49	96,388
B	Female	46	89,088
B	Female	47	92,973
B	Female	32	106,007
B	Female	40	99,714
B	Female	35	57,153
B	Female	44	82,615
B	Female	40	96,375
B	Female	43	98,590
B	Female	45	65,360
B	Female	38	87,731
B	Female	44	84,313
B	Female	39	85,463
B	Female	32	68,497
B	Female	44	90,729
B	Female	50	76,834
B	Female	42	66,282
B	Female	44	97,842
B	Female	50	71,762
B	Female	42	83,311
B	Female	42	75,339
B	Female	49	110,368
C	Male	36	96,219
C	Male	44	109,686
C	Male	47	93,113
C	Male	47	66,170
C	Male	41	60,617
C	Male	47	74,366
C	Male	50	119,020
C	Male	38	97,232
C	Male	36	109,823
C	Male	41	109,557
C	Male	50	111,530
C	Male	34	80,225
C	Male	44	93,657
C	Male	30	118,025
C	Male	40	57,032
C	Male	33	98,698
C	Male	43	59,496
C	Male	35	90,766
C	Male	31	91,486
C	Male	34	113,521
C	Male	31	73,945
C	Male	45	67,027
C	Male	46	67,051
C	Male	49	98,411
C	Male	50	97,338
C	Male	37	118,349
C	Male	37	60,922
C	Male	38	110,588
C	Male	42	70,549
C	Male	33	94,914
C	Male	48	102,385
C	Male	36	92,470
C	Male	46	78,502
C	Male	42	102,796
C	Male	34	89,755
C	Male	30	74,237
C	Female	41	70,079
C	Female	49	77,198
C	Female	49	106,560
C	Female	36	74,090
C	Female	40	102,675
C	Female	49	80,033
C	Female	36	105,302
C	Female	36	77,489
C	Female	44	92,304
C	Female	40	94,672
C	Female	35	116,507
C	Female	37	87,254
C	Female	33	74,955
C	Female	37	77,554
C	Female	41	81,973
C	Female	38	93,922
C	Female	32	115,457
C	Female	36	78,315
C	Female	48	61,316
C	Female	37	115,454
C	Female	38	113,701
C	Female	46	97,096
C	Female	41	69,483
C	Female	44	92,759
C	Female	47	82,769
C	Female	40	56,526
C	Female	31	55,918
C	Female	44	112,182
C	Female	34	77,367
C	Female	40	72,098
C	Female	36	86,845
C	Female	48	75,701
C	Female	31	118,226
C	Female	39	79,985
C	Female	41	64,174
C	Female	42	100,224
C	Female	31	100,889
C	Female	45	75,590
C	Female	31	99,451
C	Female	41	117,973
C	Female	30	57,846
C	Female	42	104,351
C	Female	30	111,225
C	Female	49	87,716
C	Female	32	117,996
C	Female	38	58,315
C	Female	46	107,765
C	Female	44	58,400
C	Female	30	114,948
C	Female	37	68,629
C	Female	48	61,763
C	Female	33	107,854
C	Female	47	119,582
C	Female	40	104,355
C	Female	47	83,381
C	Female	39	119,085
C	Female	36	55,136
C	Female	44	76,654
C	Female	37	109,839
C	Female	47	76,039
C	Female	44	83,492
C	Female	40	90,067
C	Female	33	72,812
C	Female	37	88,071
C	Female	32	55,990
C	Female	46	111,644
C	Female	45	105,626
C	Female	40	94,651
C	Female	33	85,039
C	Female	41	88,461
C	Female	35	83,335
C	Female	34	82,455
C	Female	48	98,481
C	Female	30	117,141
C	Female	33	86,082
C	Female	46	60,735
C	Female	43	109,675
C	Female	40	118,766
C	Female	50	118,258
C	Female	30	56,652
C	Female	40	95,370
C	Female	35	55,818
C	Female	41	116,920
C	Female	36	56,009
C	Female	44	71,293
C	Female	35	77,275
C	Female	33	108,088
C	Female	45	68,572
C	Female	46	89,957
C	Female	40	81,106
C	Female	49	56,926
C	Female	37	104,538
C	Female	35	63,598
C	Female	34	61,567
C	Female	37	105,881
C	Female	34	116,398
C	Female	31	88,159
C	Female	47	106,275
C	Female	41	59,829
C	Female	33	62,194
C	Female	47	55,509
C	Female	30	118,150
C	Female	30	70,056
C	Female	50	62,811
C	Female	50	62,138
C	Female	33	78,037