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Question 1: The following TI- 84 Plus display presents some sample statistics. 1-Var-Stats x =77 x=2291 x2 =182,361 Sx=8 x=8.024961059 n=29 (a) Assume that a

Question 1:

The following TI-

84

Plus display presents some sample statistics.

1-Var-Stats

x

=77

x=2291

x2

=182,361

Sx=8
x=8.024961059

n=29

(a) Assume that a histogram of the sample is bell-shaped. Approximately what percentage of the sample values are between 53 and 101.

Approximately blank % of the sample values fall between 53 and 101.

(b) Assume the population is bell-shaped. Between what two values will approximately 95% of the population be?

Approximately 95% of the population values will fall between blank and blank.

(c) If we do not assume that the population is bell-shaped, at least what percentage of the population will be between blank

and blank.

Question 2:

Sports car or convertible? The following table presents the fuel efficiency, in miles per gallon, for a sample of convertibles and a sample of sports cars.

Convertible Model MPG

Sports Model

MPG
Volkswagen Eos 25

BMW 135i

23
Mini Cooper 25

Mazda3 Mazdaspeed

24
Saab 9-3 24

Subaru Impreza WRX STi

21
BMW 328i 21

Mazda RX-8

18
Toyota Camry Solara 21

Mitsubishi Lancer Evolution

21
Volvo C70 21

Volkswagen GTI

25

(a) Find the sample standard deviation of the mileage for the sample of convertibles. Round the answer to one decimal place.

The sample deviation for the convertibles, in miles per gallon, is blank.

(b) Find the sample standard deviation of the mileage for the sample of sports cars.

Question 3:

Lunch break: In a recent survey of 693working Americans ages25-34, the average weekly amount spent on lunch as $44.36 with standard deviation $2.95. The weekly amounts are approximately bell-shaped.

(a) Estimate the percentage of amounts that were less than $41.41. Round the answer to one decimal place.

Approximately blank % of the amounts were less than $41.41.

(b) Estimate the percentage of amounts that were greater than.

(c) Estimate the percentage of amounts that were between.

Question 4:

For the data set:

27 13 3 5 7 4 13 6 6 3 11 6
8 7 3 5 5 8 15 3 4 4

Part 1 wants me to find the first and third quartile

Part 2 wants me to find the IQR

part 3 wants me to find the upper and lower outlier boundaries

Part 4 wants me to list all the values, if any, that are classified as outliers.

Question 5:

Hazardous waste: Following is a list of the number of hazardous waste sites in states in a recent year. The list has been sorted into numerical order. Construct a boxplot for these data. The median is 21, Q1 is 14, and Q3 is 35.

0 2 2 3 5 6 5 7 9 9
10 10 14 15 15 15 16 16 16 16
17 17 17 19 21 21 22 23 24 24
25 26 28 28 31 32 34 35 37 42
43 46 47 48 53 61 81 96 99 115

Construct a box plot for the given data.

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