Question

The Salary Institute of America (SIOA) has gathered the following data on individuals working in the retail industry in Alabama.

a. Construct a 90% confidence interval to estimate the population mean salary for females with bachelors who work in the retail industry in Alabama. Interpret your interval.  

b. Suppose you would like to estimate the population proportiion of retail workers in Georgia who have a masters degree with 95% confidence and a margin of error of 3 percentage points. How large of a sample would you need?  Interpret your interval.  

Gender	Age	Experience	Education	Annual_Salary
Male	30	3	Bachelors	$38,556
Male	31	1	Masters	$35,829
Female	29	5	High School	$14,371
Male	34	2	Bachelors	$19,106
Female	33	1	Masters	$36,109
Female	27	0	High School	$17,439
Female	42	11	Bachelors	$49,987
Female	21	0	Bachelors	$17,784
Male	29	3	Bachelors	$22,100
Male	23	0	Bachelors	$26,118
Female	36	5	Masters	$39,205
Male	37	11	Bachelors	$42,331
Female	44	7	Bachelors	$49,861
Female	25	2	Bachelors	$27,750
Female	39	5	Bachelors	$38,450
Female	50	10	Bachelors	$76,927
Male	56	5	Bachelors	$109,285
Male	44	12	Masters	$50,912
Female	32	4	Bachelors	$33,100
Male	28	0	Bachelors	$36,901
Male	46	4	Masters	$54,613
Female	23	0	Bachelors	$28,743
Female	20	0	High School	$15,945
Female	34	10	Bachelors	$37,183
Male	46	7	Bachelors	$57,966
Male	60	10	Bachelors	$85,471
Male	47	5	Bachelors	$54,199
Female	51	10	Bachelors	$90,473
Female	33	6	Masters	$40,207
Male	58	9	Bachelors	$88,763
Male	53	13	Masters	$90,874
Male	55	11	Masters	$89,867
Male	31	5	Masters	$41,956
Male	40	4	Masters	$54,965
Male	33	2	Bachelors	$39,224
Male	25	0	Bachelors	$30,327
Female	51	12	Masters	$87,489
Female	45	20	Bachelors	$51,259
Female	52	12	Bachelors	$93,278
Male	63	16	Bachelors	$93,588
Female	35	5	Masters	$43,184
Female	27	0	High School	$18,014
Male	26	0	Bachelors	$21,750
Male	38	6	Masters	$39,455
Female	48	6	Bachelors	$53,388
Male	24	0	Bachelors	$29,356
Male	47	11	Bachelors	$49,638
Female	50	8	Bachelors	$51,194
Female	41	9	Bachelors	$48,442
Female	42	11	Bachelors	$50,712
Female	37	8	Bachelors	$31,008
Female	35	3	Bachelors	$36,932

Answer 1