Question

(a) Determine the proportion of the Market Cap data that lies within 1, 2, and 3 standard deviations of the mean. Determine, using the empirical rule, if the Market Cap data is approximately normally distributed.

Company Name	Market Capitalization	Revenue Growth
	($ millions)	(% in last year)
Abercrombie & Fitch Co.	17	2.7
American Eagle Outfitters	21	2.5
bebe stores, inc.	23	10.0
Birks Group Inc	31	5.3
BJs Wholesale Club Holdings Inc	32	3.4
Boot Barn Holdings Inc	49	12.7
Bravada International Ltd.	51	-4.7
Buckle Inc	56	-14.9
Burlington Stores Inc	68	-13.5
Cache Inc	79	-9.9
Caleres Inc	130	-10.8
Cato Corp	196	9.2
Chico's FAS, Inc.	236	10.4
Childrens Place Inc	264	-16.0
Christopher & Banks Corporation	307	8.9
Citi Trends, Inc.	317	-9.9
Companhia Brasileira de Distribuicao	357	25.7
Costco Wholesale Corporation	358	1.6
Designer Brands Inc	414	-0.2
Destination Maternity Corp	424	-15.1
Dillard's, Inc.	438	-2.4
Express, Inc.	530	-9.9
Foot Locker, Inc.	698	-0.9
Francesca's Holdings Corp	879	24.8
Gap Inc	935	2.4
Genesco Inc.	957	-3.3
Guess?, Inc.	1100	-4.5
J C Penney Company Inc	1200	-4.5
J.Jill Inc	1300	-5.4
Kohl's Corporation	1300	4.4
L Brands Inc	1500	8.7
Macy's Inc	1700	-8.7
Nordstrom, Inc.	2100	-5.2
PriceSmart, Inc.	2400	0.4
Qingco Inc	2700	-35.8
Ross Stores, Inc.	3100	2.6
RTW Retailwinds Inc	3700	0.1
Sears Holdings Corp	4000	-0.5
Shoe Carnival, Inc.	4800	8.8
Stage Stores Inc	5100	52.4
Stein Mart, Inc.	6200	3.7
Tailored Brands Inc	6400	-4.3
Tandy Leather Factory, Inc.	7700	-9.9
Tilly's Inc	15200	7.2
TJX Companies Inc	42200	3.3
Urban Outfitters, Inc.	74200	0.8
Walmart Inc	128700	-3.5
Zumiez Inc.	337500	-8.1

Answer 1