Coastal Star Sales Corporation is a West Coast wholesales that market to several manufacturers of leisure products. Coastal Star has 80-person sales force that sells to wholesales in a six-states area divided into two sales regions the table below gives the names from a sample of 11 salesperson, some descriptive information about each salesperson, and the sales performance of each for the past 2 years.
Sales
Region Salesperson Age Years of experience Previous Years Current Years
Northern Jackson 40 7 $412,744 $411,007
Northern Gentry 60-12 1,491,024 1,726,630
Northern La Forge 26 2 301,421 700,112
Northern Miller 39 1 401,241 471,001
Northern Mowen 64 5 448,160 449,261
Southern Young 51 2 518,897 519,412
Southern Fisk 34 1 846,222 713,333
Southern Kincaid 62-10 1,527,124 2,009,041
Southern Krieger 42 3 921,174 1,030,000
Southern Manzer 64 5 463,399 422,798
Southern Weiner 27 2 548,011 422,001
Calculate the median, the mode and range for each variable in question 1.
The median for age is 42. The median for years of experience is 3. The median for previous years of experience is $518,897. The median for current years of experience is $519, 412.
The mode for age is 64. The mode for years of experience is 2. The mode for previous years of experience is in the $4,000 range. The mode for current years of experience approximates $422,00.
The range for age is 39. The range for years of experience is 12. The range for previous years of experience is $1,225,704. The range for current years of experience is $1,598,035.
3-Organize the data on current year sales in question 1 into a frequency distribution with the following classes:
Under $500,000
5
$500,001 to $999,999
3
$1,000,000 and over
3
3- Organize the data on years of selling experience in question 1 into a frequency distribution consisting of two classes: less than 5 years and 5 or more years less than 5 years
6
5 or more years
5
4- in a survey of 500, 60% responded positively to an attitude question. Calculate a confidence interval at 95% to get an interval estimate for a proposition. 4.29
5-in a nationwide survey, a researcher expects that 30% of the population will agree with an attitude statement. She wishes to have less than 2% error and to be 95% confident. What sample size is needed? 30
6- City Opera, a local opera company wishes to take a sample of its subscribers to learn the average number of years people have been subscribing. The director of research expects the average to be 12 years and believes the standard deviation will be about 2 years (approximately one-sixth of the range). She wishes to be 95% confident of her estimate. What is the appropriate sample size? 12
7- a researcher expects the population proportion of Cubs fans in Chicago to be 80%. The researcher wishes to have an error less than 5% and to be 95% confident of an estimate to be made of a mail survey. What sample size is required? 66
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