Homework Statistics for Business and Economics Part one

Homework:Statistics for Business and Economics

Partone

  1. In a questionnaire, respondents are asked to mark their gender as male or female. Gender is an example of the Nominal scale

  2. Some hotels ask their guests to rate the hotel`s services as excellent, very good, good, and poor. This is an example of ordinal scale

  3. Income is an example of a variable that uses the ratio scale

  4. A portion of the population selected to represent the population is called a sample

QuestionFive

Thereare seven elements in the dataset. An element is defined as an objectin a set. There are two variables in the dataset since a variable isany number or quantity that can be measured. Data can be classifiedas being quantitative or categorical. Quantitative data usesnumerical values as units of measurement. On the other hand,categorical data uses either ordinal or nominal scale of measurement.The data for seven colleges and universities is numerical hence, itis quantitative. There are seven observations in the above datasetsince there are seven observable elements in the dataset. The averageendowment is as follows:

1.7+5.9+34.6+1.4+6.6+1.4+6.6+1.9+22.5=74.6/7=10.66Billion

QuestionSix

Thealternative relative frequency will be as follows for alternatives A,B and C. A 60/120=0.5. B 24/120=0.2. C 36/120=0.3

Frequency Relative Frequency Percent relative frequency

A 60 0.5 50%

B 24 0.2 20%

C 36 0.3 30%

BarChart

Piechart

QuestionSeven

Adoctor`s staff that studied the waiting times of patients thatarrived at the office with request for emergency services observedthe following data over a one month period.

2,5, 10,12, 4, 4, 5, 17, 11, 8, 9, 8, 12, 21, 6, 8, 7, 13, 18, 3. Useclasses of 0-4, 5-9

Frequencydistribution

Class Frequency Relative frequency Cumulative frequency distribution

0-4 4 0.20 4

5-9 8 0.40 12

10-14 5 0.25 17

15-19 2 0.10 19

20-24 1 0.05 20

20 1

QuestionEight

Usingfollowing data create a stem and leaf unit for the display

26 32 28 45 58

52 44 36 42 27

41 53 55 48 32

42 44 40 36 37

Solution

Theleaf unit=1

2 | 6 7 8

3 | 2 2 6 6 7

4 |0 1 2 4 4 5 8

5 | 2 3 5 8

QuestionNine

Leasttime spent on meetings is 13hours and highest is 23hours

Frequencydistribution

Class Frequency Relative frequency Percent Frequency distribution

12-14 3 0.12 12%

15-17 6 0.24 24%

18-20 8 0.32 32%

21-23 8 0.32 32%

25

QuestionTen

RowPercentages

AverageSpeed1988-1992 1993-1997 1998-2002 2003-2007 2008-2012 Total

130-139.9 16.67% 33.33% 50% 100

140-149.9 25% 25% 12.5% 25% 12.5% 100

150-159.9 50% 16.67% 16.67% 16.67% 100

160-169.9 50% 50% 100

170-179.9 100% 100

Wecan observe that highest average speeds 170-179.9 and 1998-2002

Questioneleven

Greensare too fast

Male and Female

Sum of Too fast

Sum of fine

Male

(85%) 64

(60.8%) 76

Female

(14.67%) 11

(32.2%) 49

Grand Total

75

125

  1. The group that shows the highest percentage greens are too fast? Males shows greens are too fast based on percentages

  2. Males shows the highest percentage in the initial cross tabulation 28.57% 10/35

  3. Females show the highest percentage saying the greens are too fast at 97.5% 39/40

  4. The conclusions are not consistent. The men have higher preferences concerning the speed of greens based on the results of survey and after analysis. Inconsistencies arise due to the combination of the cross tabulations.

Questiontwelve

Scatterplots

Ascatterplot is graph that pairs data points for two quantitativevariables

Thescatterplot assists one in examining the possible relationshipsbetween any two variables.

Speed

30

50

40

55

30

25

60

25

50

55

Fuel

28

25

25

23

30

35

21

35

26

25