Ali Ali Ali Ali Ali 72m64

ASSIGNMENT #1 October 3, 2016

BUSI1066/ECON2115

Total possible marks: 45 Dawood__________

Due: Name _____Ali Al-

Part A – Chapter One (11 Marks, 1 for each correct answer) 1.The data in the following table was collected from students in a statistics class. The column headings give the variable, and the rows represent a student. Mal Age Eye Shoe Height Numbe Credits e (years) Colo Size (metres) r of taken during ur sibling fall term s 1 20 Brow 9.5 1.80 1 5 n 0 19 Blue 8 1.68 1 4 0 42 Haze 7.5 1.60 3 1.5 l 1 21 Brow 11 1.78 5 5.5 n Classify each of the following variables as qualitative or quantitative. If quantitative, indicate if discreet or continuous. a) Male: ___________ Qualitative. b) Eye Colour: ________ Qualitative. c) Shoe Size: _________ Quantitative discreet. d) Height: ___________ Quantitative continuous. e) Number of siblings: __ Quantitative discreet. f)

Credits taken during fall term: __ Quantitative discreet.

2.

Samantha Hopkins, Director of Human Resources at a large restaurant chain is exploring the causes of employee absenteeism at its Bolder City restaurant location during the last operating year. For this study the set of all employees who worked at the Bolder City restaurant during the last operating year is called a) a parameter c) the population b) a sample d) a statistic

3.

The President of Atlas Corp. is reviewing the warranty policy for his company's new model of light truck batteries. Tests performed on a random sample of 100 batteries indicated an average life of seven years under normal usage. Jessica recommended a six-year warranty period for the new model. This is an example of a) descriptive statistics b) inferential statistics

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4.Classify each of the following variables as nominal, ordinal, interval or ratio a)

August, 2016 unemployment rate for each of the Canadian provinces _____ Ratio ________

b)

Number of female executives in each of a sample of 50 retail companies ____ Nominal ______

c)

Defective status (defective or not) of each of 75 computer chips manufactured by Intel __ Ratio__

Part B – Chapter Two (16 Marks, 1 for each correct answer) 5.

Speedy Swift is a package delivery service that serves the greater Atlanta, Georgia, metropolitan area. To maintain customer loyalty, one of Speedy Swift's performance objectives is on-time delivery. To monitor its performance, each delivery is measured on the following scale: early (package delivered before the promised time), on-time (package delivered within 5 minutes of the promised time), late (package delivered more than 5 minutes past the promised time), lost (package never delivered). Speedy Swift's objective is to deliver 99% of all packages either early or on-time. Another objective is to never lose a package. Speedy collected the following data for last month's performance:

a)

What scale is used to measure delivery performance? Ratio ____________

b)

What kind of variable is delivery performance? _____ Qualitative ________

c)

Construct a frequency table for delivery performance for last month. USE EXCEL AND COPY/PASTE YOUR TABLE BELOW

Frequency Table

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Delivery performance

Frequency

On Time

67

Early

22

Late

9

Lost

2

Total

100

d) Construct a relative frequency table for delivery performance last month. USE EXCEL AND COPY/PASTE YOUR TABLE BELOW

Relative Frequency Table Delivery Performance

Frequency

Relative Frequency

Relative Frequency (percent)

On time

67

0.67

67%

Early

22

0.22

22%

Late

9

0.09

9%

Lost

2

0.02

2%

Total

100

1

100%

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e) Construct a bar chart of the frequency table for delivery performance last month USE EXCEL AND COPY/PASTE YOUR TABLE BELOW

f) Construct a pie chart of delivery performance last month. USE EXCEL AND COPY/PASTE YOUR TABLE BELOW

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6. The marketing director of Groombridge Realty selected a sample of 30 homes for study. The Excel data file for the data on selling price, reported in thousands of dollars, is found under this assignment in D2L. You are required to organize the data into a frequency distribution. For this exercise, use 5 classes, a class interval of $40 thousand, and let the lower limit of the first class be $120 thousand. a) Organize the data into a frequency distribution table. Price (1000$) Frequency 120 to 160 4 160 to 200 11 200 to 240 6 240 to 280 6 280 to 320 3 More of it 0 b)Use the housing price data to draw a histogram by hand.

c)BONUS MARK: Use Excel to construct a histogram. YOU MUST TAKE A SCREENSHOT OF YOUR EXCEL PAGE AND COPY/PASTE IT INTO THE SPACE BELOW. THE HISTOGRAM MUST BE 100% CORRECT FOR THIS MARK.

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d)Construct a frequency polygon for the housing data on prices. DO THIS BY HAND.

e)Construct a cumulative frequency table in the space below.

f) Construct a cumulative frequency polygon. DO THIS BY HAND.

g)Estimate the price below which 85% of the houses were sold. _________________ h)Estimate the number of houses sold for less than $190 thousand. ______________

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7.The monthly issues of the Journal of Finance are available on the Internet. The table below shows the number of times an issue was ed over the last 33 months. Suppose that you wish to summarize the number of s with a frequency distribution. YOU ARE NOT REQUIRED TO CONSTRUCT A FREQUENCY DISTRIBUTION. YOU ARE REQUIRED TO SHOW YOUR WORK for questions (a) and (b).

a)How many classes would you propose? _______

b)What size class interval would you suggest? ________

c) What quantity would you use for the lower limit of the first class? ___________

Part C – Chapter Three (5 Marks, 1 for each correct answer unless indicated otherwise) 8.Statistics Canada gathered the following sample data on number of hours unemployed workers spent looking for work last week. Compute the mean and standard deviation number of hours spent searching for work last week. YOU MUST SHOW YOUR WORK. Hours Spend Searching 0 up to 10 10 up to 20 20 to 30 30 to 40 40 to 50 a)

Mean

Number of unemployed 3 7 15 10 5

_______________

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b)

Standard deviation __________

9.The mean number of gallons of gasoline pumped at Ray’s Station is 9.5 with a standard deviation of 0.75 gallons. The arithmetic mean amount of time spent by a customer at the station is 6.5 minutes with a standard deviation of 2 minutes. a)According to Chebyshev’s Theorem, what proportion (%) of customers spend between 3.3 and 9.7 minutes at the station? _______________ (2 marks)

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b)According to the Empirical Rule, what proportion of customers pump between 8 and 11 gallons? ______________

Part D – Chapter Four (13 Marks, 1 for each correct answer unless indicated otherwise) 10.

Aloha Banking Co. is studying ATM use in suburban Honolulu. A sample of 30 ATMs showed they were used the following number of times yesterday.

a)

11.

Develop a stem-and-leaf chart.

Listed below are the salaries, in thousands of dollars, for a sample of 15 chief financial officers in the electronics industry. Determine the mean, median, standard deviation and coefficient of skewness using Pearson’s method.

a)

Mean __________

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b)

c)

12.

Median ________

Standard Deviation _________

d) Pearson’s Coefficient of Skewness __________ Use the following table of values to answer the following questions.

a)

b)

c)

d)

What is the value of the first quartile? _____6.5________

What is the value of the third quartile? ______9______

What is the value of the median? ____8______

Are any of the values outliers; if yes, which are outliers? ___1____SHOW HOW YOU WOULD DETERMINE THIS. (2 marks)

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e)

Draw the boxplot showing all relevant values: XMIN , XMAX , Q1, Q2, Q3 and any outliers. (3 marks)

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