Introduction To Statistics And Data Analysis
6th Edition
ISBN: 9781337794503
Author: PECK
Publisher: Cengage
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Chapter 3, Problem 58CR
a.
To determine
Draw and describe the stem and leaf graph.
b.
To determine
Comment on the interesting features of the plot and check for the outliers.
c.
To determine
Draw the back-to-back stem-and-leaf plot for the given data.
Comment on the interesting features of the stem and leaf plot.
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Question 4
Fourteen individuals were given a complex puzzle to complete. The times in seconds was recorded
for their first and second attempts and the results provided below:
1
2
3
first attempt
172
255
second attempt 70
4 5
114 248 218
194 270 267 66
6 7
230 219
341 174
8
10
9
210 261 347 218 200 281
199 308 268 243 236 300
11
12
13
14
140
302
a. Calculate a 95% confidence interval for the mean time taken by each individual to
complete the (i) first attempt and (ii) second attempt. [la]
b. Test the hypothesis that the difference between the two mean times for both is 100
seconds. Use the 5% level of significance.
c. Subsequently, it was learnt that the times for the second attempt were incorrecly
recorded and that each of the values is 50 seconds too large. What, if any, difference
does this make to the results of the test done in part (b)? Show all steps for the
hypothesis test
Question 3
3200 students were asked about the importance of study groups in successfully completing their
courses. They were asked to provide their current majors as well as their opinion. The results are given
below:
Major
Opinion Psychology Sociology Economics Statistics Accounting Total
Agree
144
183
201
271
251
1050
Disagree
230
233
254
227
218
1162
Impartial
201
181
196
234
176
988
Total
575
597
651
732
645
3200
a. State both the null and alternative hypotheses.
b. Provide the decision rule for making this decision. Use an alpha level of 5%.
c. Show all of the work necessary to calculate the appropriate statistic. |
d. What conclusion are you allowed to draw?
c. Would your conclusion change at the 10% level of significance?
f. Confirm test results in part (c) using JASP. Note: All JASP input files and output
tables should be provided
Question 1
A tech company has acknowledged the importance of having records of all meetings conducted.
The meetings are very fast paced and requires equipment that is able to capture the information in
the shortest possible time. There are two options, using a typewriter or a word processor. Fifteen
administrative assistants are selected and the amount of typing time in hours was recorded. The
results are given below:
1
2
3
4
5
6
7
8
9
10
11 12 13
14
15
typewriter
8.0 6.5
5.0 6.7
7.8
8.5
7.2
5.7
9.2
5.7 6.5
word processor 7.2 5.7
8.3
7.5
9.2
7.2
6.5
7.0
6.9
34
7.0 6.9
8.8
6.7
8.8 9.4 8.6 5.5 7.2
8.4
a. Test the hypothesis that the mean typing time in hours for typewriters is less than 7.0.
Use the 1% level of significance.
b. Construct a 90% confidence interval for the difference in mean typing time in hours,
where a difference is equal to the typing time in hours of word processors minus typing
time in hours of typewriter.
c. Using the 5% significance level, determine whether there is…
Chapter 3 Solutions
Introduction To Statistics And Data Analysis
Ch. 3.1 - Each person in a nationally representative sample...Ch. 3.1 - The graphical display on the next page is similar...Ch. 3.1 - The survey referenced in the previous exercise was...Ch. 3.1 - The National Confectioners Association asked 1006...Ch. 3.1 - College student attitudes about e-books were...Ch. 3.1 - The Center for Science in the Public Interest...Ch. 3.1 - Using the data given in the previous exercise,...Ch. 3.1 - The article Housework around the World (USA TODAY,...Ch. 3.1 - The authors of the report Findings from the 2009...Ch. 3.1 - The survey on student attitude toward e-books...
Ch. 3.1 - During 2017, Gallup conducted a survey of adult...Ch. 3.1 - An article about college loans (New Rules Would...Ch. 3.1 - The report Findings From the 2014 College Senior...Ch. 3.2 - The National Center for Health Statistics provided...Ch. 3.2 - The paper State-Level Cancer Mortality...Ch. 3.2 - The accompanying data on seat belt use for each of...Ch. 3.2 - The previous exercise gave data on seat belt use...Ch. 3.2 - The U.S. Department of Health and Human Services...Ch. 3.2 - The article Economy Low, Generosity High (USA...Ch. 3.2 - The U.S. gasoline tax per gallon data for each of...Ch. 3.2 - A report from Texas Transportation Institute...Ch. 3.2 - The percentage of teens not in school or working...Ch. 3.3 - The data in the accompanying table are from the...Ch. 3.3 - The accompanying data on annual maximum wind speed...Ch. 3.3 - The accompanying relative frequency table is based...Ch. 3.3 - The data in the accompanying table represents the...Ch. 3.3 - Construct a histogram for the data in the previous...Ch. 3.3 - The following two relative frequency distributions...Ch. 3.3 - U.S. Census data for San Luis Obispo County,...Ch. 3.3 - Use the commute time data given in the previous...Ch. 3.3 - The report Trends in College Pricing 2012...Ch. 3.3 - An exam is given to students in an introductory...Ch. 3.3 - The accompanying frequency distribution summarizes...Ch. 3.3 - Example 3.19 used annual rainfall data for...Ch. 3.3 - Use the relative frequency distribution...Ch. 3.3 - Prob. 37ECh. 3.3 - Use the cumulative relative frequencies given in...Ch. 3.3 - Using the five class intervals 100 to 120, 120 to...Ch. 3.4 - The accompanying table gives data from a survey of...Ch. 3.4 - Consumer Reports Health (consumerreports.org) gave...Ch. 3.4 - Consumer Reports rated 29 fitness trackers (such...Ch. 3.4 - Consumer Reports (consumerreports.org) rated 37...Ch. 3.4 - The Solid Waste Management section of the...Ch. 3.4 - The report Daily Cigarette Use: Indicators on...Ch. 3.4 - The accompanying time series plot of movie box...Ch. 3.5 - The accompanying comparative bar chart is similar...Ch. 3.5 - The figure at the top left of the next page is...Ch. 3.5 - The figure at the top right of the next page is...Ch. 3.5 - The two graphical displays below are similar to...Ch. 3.5 - The following graphical display is similar to one...Ch. 3.5 - Explain why the following graphical display...Ch. 3 - Each year, The Princeton Review conducts surveys...Ch. 3 - Prob. 55CRCh. 3 - Prob. 56CRCh. 3 - Prob. 57CRCh. 3 - Prob. 58CRCh. 3 - Does the size of a transplanted organ matter? A...Ch. 3 - Prob. 60CRCh. 3 - The article Tobacco and Alcohol Use in G-Rated...Ch. 3 - Prob. 62CRCh. 3 - Prob. 63CRCh. 3 - Many nutritional experts have expressed concern...Ch. 3 - Americium 241 (241Am) is a radioactive material...Ch. 3 - Does eating broccoli reduce the risk of prostate...Ch. 3 - An article that appeared in USA TODAY (August 11,...Ch. 3 - Sometimes samples are composed entirely of...Ch. 3 - Prob. 4CRECh. 3 - More than half of Californias doctors say they are...Ch. 3 - Based on observing more than 400 drivers in the...Ch. 3 - An article from the Associated Press (May 14,...Ch. 3 - Prob. 8CRECh. 3 - Prob. 9CRECh. 3 - Prob. 10CRECh. 3 - The article Determination of Most Representative...Ch. 3 - The paper Lessons from Pacemaker Implantations...Ch. 3 - How does the speed of a runner vary over the...Ch. 3 - Prob. 14CRECh. 3 - One factor in the development of tennis elbow, a...Ch. 3 - An article that appeared in USA TODAY (September...
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