# sd3 t02 mx 5.3 ♨ 28 February 2014 Name:

In 1992 the Community College of Micronesia had a coffee club that provided coffee for faculty and staff. With the move to Palikir in 1996 the coffee club ceased to exist. For a few years I kept a one cup coffee maker in my office for my morning coffee. When I became chair of the Division of Natural Sciences and Mathematics I acquired a 12 cup drip coffee maker and put the coffee maker in my office in what was then office F105. The coffee pot was a management and assessment tool. Faculty were coffee drinkers and would stop by to get their free morning coffee. This let me know the faculty member was in and gave me a chance to chat with the faculty member. Through those morning chats I was able to keep "my finger on the pulse" of the division. With the move to the south faculty building in 2003 I no longer had a place to put the coffee maker. So the coffee maker transferred, logically, to the faculty and staff lunch room. Morning coffee continues to be available to division faculty. Coffee is being grown here on Pohnpei in small quantities which is sold primarily to tourists at prices above the price points of imported coffee. A recent BBC program noted that Vietnam has become the number two supplier of coffee on the planet, but at a high environmental cost.

Store Brand Variety Price
Amazon Folgers Classic Roast 12.95
Ace Commercial Folgers Country Roast 15.25
Palm Terrace Classic Roast 16.60
A1 Mart Classic Roast 21.00
A1 Mart Country Roast 21.00
Yoshie Folgers Classic Roast 21.60
Seven Star Folgers Classic Roast 21.95
Ace Office Folgers Classic Roast 21.99
Best Buy Folgers Classic Roast 22.80
Sennys Folgers Classic Roast 24.95

Price is for ground coffee, large size, 961 and 978 grams

1. n= __________ Calculate the sample size n for the price.
2. Q0 = __________ Calculate the minimum (zeroth quartile).
3. Q1 = __________ Calculate the first quartile.
4. Q2 = __________ Calculate the median (second quartile).
5. Q3 = __________ Calculate the third quartile.
6. Q4 = __________ Calculate the maximum (fourth quartile).
7. IQR = __________ Calculate the Inter-Quartile Range.
8. Make a sketch of the box plot for the data.
9. mode = __________ Calculate the mode.
10. x = __________ Calculate the sample mean x.
11. sx = __________ Calculate the sample standard deviation sx.
12. CV = __________ Calculate the sample coeficient of variation CV.
13. z = __________ Ace Commercial is selling Maxwell House Original Blend (869 g) for \$26.95. Calculate the z-score for 26.95.
14. ______________ Is the z-score for 26.95 an ordinary or extraordinary z-score?
15. range = __________ Calculate the range.
16. width = __________ If the data is divided into five classes, what is the width of a single class?
17. Determine the frequency and calculate the relative frequency for the data. Record your results in the table provided.
Class upper limitsFrequency FRel. Freq.
Sums:
18. Sketch a frequency histogram for the data,
labeling your horizontal axis and vertical axis.
19. ____________________ What is the shape of the histogram?
20. __________ 159 out of 673 statistics students prefer blue as their favorite color. What is the probability that a statistics student prefers the color blue?

Table two coffee
Price (\$) Mass (g)
6.95292
8.75320
13.95640
21.00961
28.751360
21. _________ Calculate the sample size n (the number of data pairs) for the data in table two.
22. ______________ Calculate the slope of the linear regression for the table two data.
23. ______________ Calculate the y-intercept of the linear regression for the table two data.
24. ______________ Is the relation positive, negative, or neutral?
25. ______________ Calculate the correlation coefficient r for the data.
26. ______________ Is the correlation none, weak/low, moderate, strong/high, or perfect?
27. ______________ Calculate the coefficient of determination.
28. ______________ Use the slope and intercept to predict the mass for a price of \$10.
29. ______________ Use the slope and intercept to predict the price for a mass of 1160 g.
```Store	Brand	Variety	Price (\$)	Mass (g)	grams/\$
Ace Comm	Folgers	Country Roast	15.25	978	64.1
Ray N Dors	Folgers	Classic Roast	21.95	1360	62.0
Palm Terrace	Folgers	Classic Roast	16.60	961	57.9
Ace Office	Folgers	Classic Roast	24.99	1360	54.4
Blue Nile	Folgers	Classic Roast	28.75	1360	47.3
Palm Terrace	Folgers	Classic Roast	28.95	1360	47.0
A1 Mart	Folgers	Country Roast	21.00	978	46.6
A1 Mart	Folgers	Classic Roast	6.95	320	46.0
A1 Mart	Folgers	Classic Roast	13.95	640	45.9
Ace Comm	Folgers	Classic Roast	13.95	640	45.9
A1 Mart	Folgers	Classic Roast	21.00	961	45.8
Yoshie	Folgers	Classic Roast	21.60	961	44.5
Yoshie	Yuban	Medium	19.90	879	44.2
Seven Star	Folgers	Classic Roast	21.95	961	43.8
Ace Office	Folgers	Classic Roast	21.99	961	43.7
Best Buy	Folgers	Classic Roast	22.80	961	42.1
Ace Comm	Folgers	House Blend	6.95	292	42.0
Palm Terrace	Hills Bros	Original	18.35	737	40.2
Seven Star	Folgers	Classic Roast	15.95	640	40.1
Palm Terrace	Folgers	Half Caff	21.30	827	38.8
Sennys	Folgers	Classic Roast	24.95	961	38.5
Palm Terrace	Folgers	Columbian	21.30	788	37.0
Palm Terrace	Folgers	Gourmet	21.30	788	37.0
Best Buy	Maxwell House	Original	8.90	326	36.6
Seven Star	Folgers	Classic Roast	8.75	320	36.6
Ace Office	Folgers	Classic Roast	8.99	320	35.6
Blue Nile	Folgers	Classic Roast	9.35	320	34.2
Best Buy	Maxwell House	Original	26.90	869	32.3
Ace Comm	Maxwell House	Original	26.95	869	32.2
```