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Introductory Statistics
1st Edition
ISBN: 9781938168208
Author: Barbara Illowsky, Susan Dean
Publisher: OpenStax College
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Textbook Question
Chapter 10, Problem 85H
Use the information from Appendix C to answer the next four exercises.
Repeat the test in Exercise 10.83, but this time combine the data from Laps 1 and 5.
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John was calculating the peeds (mph) of vehicles traveling down Maple Street on two separate days at 9
am for an hour. Below is the data she collected.
Wednesday's speeds: 32,28,24,17,39,44,64,33,27,21,38,40,60,30,25,37,30,25,35,30
Sunday's speeds: 18,27,34,37,49,55,63,61,48,30,27,17,17,15,26,46,25
1. Calculate the mean and median of each day.
2. Calculate the five-number summary of each day.
a. Wednesday's Five-Number Summary.
b. Sunday's Five-Number Summary.
3. Test each day for outliers. If they have outliers, identify them and adjust the five-number
summary to reflect the outlier. (Remember to find IQR and then Upper and Lower Limits)
a. Wednesday's Outlier Test
b. Sunday's Outlier Test
4. Create a stacked box-and-whisker plot using the five-number summaries from Wednesday and
Sunday.
5. What do you notice about the box-and-whisker plots? Describe the spread in each specifically.
Sarah was calculating the speeds (mph) of vehicles travelling down Maple Street on two separate days at
9 am for an hour. Below is the data she collected.
Wednesday's Speeds: 34,28,24,17,39,44,64,33,27,21,38,40,60,30,25,37,30,25,35,30
Sunday's Speeds: 18,27,34,37,49,55,63,61,48,30,27,17,17,15,26,46,25
Find the Standard Deviation of each day.
Wednesday's Standard Deviation Table
X
X
√EC
Sunday's Standard Deviation Table
X
S=
(x-5)²
n-1
S=
(x-4)²
n-1
Sketch Wednesday's Bell Curve with 3.0
X
1
Sketch Sunday's Bell Curve with + 30
x-x
(x-x)²=
x-x
{(x-1)²=
(x-x)
3. Based on your analysis of the data and standard deviations, which day would you say is the most
dangerous day on Maple Street?
Sarah was calculating the speeds (mph) of vehicles travelling down Maple Street on two separate days at
9 am for an hour. Below is the data she collected.
Wednesday's Speeds: 34,28,24,17,39,44,64,33,27,21,38,40,60,30,25,37,30,25,35,30
Sunday's Speeds: 18,27,34,37,49,55,63,61,48,30,27,17,17,15,26,46,25
1. Create a frequency table for each day. Make sure you look at both days when setting the intervals
for your frequency table. Remember that you need to use common intervals for both days to tally
the frequency.
Wednesday's Frequency Table
Speed Interval (mph)
Sunday's Frequency Table
Speed Interval (mph)
Tally
Tally
Frequency
Frequency
2. Create a histogram with appropriate labels for each day using the frequency tables you created in
#1.
3. What do you notice about the two histograms? Consider the following questions: Are there any
patterns in the speed distribution? Does one day look worse than the other?
Chapter 10 Solutions
Introductory Statistics
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Researchers interviewed street prostitutes in...Ch. 10 - A powder diet is tested on 49 people, and a liquid...Ch. 10 - Suppose a statistics instructor believes that...Ch. 10 - A study is done to determine if students in the...Ch. 10 - Parents of teenage boys often complain that auto...Ch. 10 - A group of transfer bound students wondered if...Ch. 10 - Some manufacturers claim that non-hybrid sedan...Ch. 10 - A baseball fan wanted to know if there is a...Ch. 10 - One of the questions in a study of marital...Ch. 10 - A recent drug survey showed an increase in the use...Ch. 10 - We are interested in whether the proportions of...Ch. 10 - Elizabeth Mjelde, an art history professor, was...Ch. 10 - A recent year was randomly picked from 1985 to the...Ch. 10 - Use the following information to answer the next...Ch. 10 - Use the following information to answer the next...Ch. 10 - Use the following information to answer the next...Ch. 10 - Researchers conducted a study to find out if there...Ch. 10 - 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A powder diet is tested on 49 people, and a liquid...Ch. 10 - A new chocolate bar is taste-tested on consumers....Ch. 10 - The mean number of English courses taken in a...Ch. 10 - A football league reported that the mean number of...Ch. 10 - A study is done to determine if students in the...Ch. 10 - According to a YWCA Rape Crisis Center newsletter,...Ch. 10 - According to a recent study, U.S. companies have a...Ch. 10 - A recent drug survey showed an increase in use of...Ch. 10 - A new SAT study course is tested on 12...Ch. 10 - University of Michigan researchers reported in the...Ch. 10 - Lesley E. Tan investigated the relationship...Ch. 10 - A golf instructor is interested in determining if...
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