Solve the following:
Q1: NRF/BIG research provided results of a consumer holiday spending survey(USA Today, December 20,2005). The following data provided the dollar amount of holiday spending for a sample of 25 consumers.
1200- 850 -740- 590- 340
450- 890- 260- 610 -350
1780 -180 -850- 2050- 770
800 -1090 -510 -520 -220
1450 -280 -1120- 200 -350
a) What is the lowest holiday spending? the Highest
b) Use a class width of $250 to prepare a frequency distribution and a percent frequency distribution for the data
c) Prepare a histogram and comment on the shape of the distribution
d) What observation can you make about holiday spending?
Q2: The Nielsen home Technology report provided information about home technology and its usage. The following data are the hours of personal computer usage during one week for a sample of 50 persons
4.1 -1.5 -10.4- 5.9 -3.4 -5.7 -1.6 -6.1 -3.0- 3.7
3.1 -4.8- 2.0- 14.8- 5.4- 4.2- 3.9 -4.1 -11.1- 3.5
4.1 -4.1- 8.8 -5.6- 4.3- 3.3- 7.1 -10.3- 6.2 -7.6
10.8- 2.8 -9.5 -12.9- 12.1- 0.7 -4.0 -9.2- 4.4 -5.7
7.2 -6.1- 5.7 -5.9 -4.7- 3.9 -3.7- 3.1- 6.1-3.1
Summarize the data by constructing the following
a) A frequency distribution (use a class width of three hours)
b) A relative frequency distribution
c) A histogram
d) An ogive
e) Comment on what the data indicate about personal computer usage at home
Q3: Major league baseball payrolls continue to escalate. Team payrolls in millions are as following
Team Payroll
Arizona 62
Atlanta 86
Baltimore 74
Boston 124
Chi Cubs 87
Chi White Sox 75
Cincinnati 62
Cleveland 42
Colorado 48
Detroit 69
Florida 60
Houston 77
Kansas City 37
LA Angles 98
LA Dodgers 83
Milwaukee 40
Minnesota 56
NY Mets 101
NY Yankees 208
Oakland 55
Philadelphia 96
Pittsburgh 38
San Diego 63
San Francisco 90
Seattle 88
St. Louis 92
Tampa Bay 30
Texas 56
Toronto 46
Washington 49
A) What is the median team payroll
B) Provide a five number summary
C) Is the $208 million payroll for the new York Yankees an outlier:
Q4: Small business owners often look to payroll service companies to handle their employee payroll. Reasons are that small business owners face complicated tax regulations' and penalties for employment tax errors are costly. According to the internal revenue service, 26% of all small business employment tax returns contained errors that resulted in a tax penalty to the owner ( the wall street journal, January 30,2006) The tax penalty for a sample of 20 small business owners are as follows
Tax Penalty
820
270
450
1010
890
700
1350
350
300
1200
390
730
2040
230
640
350
420
270
370
620