1.2 Below we list several variables. Which of these are quantitative and which are qualitative? Explain
Quantitative is a number it represents the quantity, qualitative are the variables. a. The dollar amount on an accounts receivable invoice = quantitative b. The net profit for a company in 2009. = quantitative c. The stock exchange on which a company’s stock is traded. = qualitative d. The national debt of the US in 2009. = quantitative e. The advertising medium (radio, TV, or print used to promote a product = qualitative
1.17 Classify each of the following qualitative variables as ordinal or nominative. Explain your answers
Qualitative Variable Categories Answer
Statistic course letter grade A B C D E Ordinal
Door choices on “Lets make a deal” Door #1 Door #2 Nominative
TV show classifications TV-G TV-PG TV- 14 TV-MA Ordinal
Personal computer ownership Yes No Nominative
Restaurant rating ***** **** *** ** * Ordinal
Income tax filing status Married filing jointly Nominative Married filing separately Single Head of household Qualifying window(er)
3.3 Calculate the mean, median, and mode for each of the following populations of numbers;
a. 9, 8, 10, 10, 12, 6, 11, 12, 8 Mean u= 9 + 8 + 10 + 10 + 12 + 6 + 11 + 12 + 8 = 86 = 9.555555555555556 9 9
Median 6 8 8 10 10 11 12 12 = (10 + 10)/2 = 10
Mode 6 8 8 10 10 11 12 12 = 10 because this is multimodal and 10 is in the center
3.22 In order to control costs, a company wishes to study the amount of money it’s sales force spends entertaining clients.
a. x-bar = (157+132+109+145+125+139)/6=$134.5
s^2 = ((157-134.5)^2+(132-134.5)^2+(109-134.5)^2+(145-134.5)^2+(125-134.5)^2+(139-134.5)^2)/5 = $276.7 s=sqrt(s^2) = sqrt(276.7) =$ 16.634
b. 69.26% of the expense would fall within 1 standard deviation from the mean -> 134.5+/- 16.634 =