Change the points for player 2 from and IQR. Which of these summaries are resistant to extreme values? e. 2o. The body can absorb alcohol so that the blood alcohol concentration (BAC) decreases by a certain number of percentage points per hour. For example, if someone's BAC goes from 0.10% to 0.08% in one hour, their rate would be 0.02 percentage points per hour. Of course this rate can vary. Suppose the standard deviation of hourly BAC reduction is 0.003 percentage points. A person is observed to have a BAC that decreased by 0.021 percentage points in an hour, corresponding to a z- score = 2. Interpret the z-score for this decrease. b. a. What is the mean decrease in BAC per hour?

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Questions 28 through 31

Chapter 2: Summarizing Data
47
wing
olivE
A person's BAC is currently 0.110%. The legal limit for driving is 0.08%. Should this person plan to drive home
in an hour? Explain.
с.
29. Refer to question 20 about the stock screener data.
Find the 10th and 90th percentiles.
Calculate and interpret the z-score for a stock screener that had a 5.75% return for that partícular month.
Calculate and interpret the z-score for a stock screener that lost 3% for that particular month.
a.
b.
С.
30. An investor wants to invest money in the bond market. Her top considerations in deciding where to invest are rate of
return (higher numbers are better) and maturity. Since she would like access to the funds within the next few years,
lower maturities are better. She considers rate of return and maturity of equal importance. The rates of return and
maturities of two investments are shown below. The mean and standard deviations of rate of return and maturity
for all bond investments are also shown.
Investment A
Investment B
Mean
Standard Deviation
Rate of Return
8.2%
6.8%
6%
1.5%
Maturity
4.1 years
2.4 years
4.5 years
6.0 years
Calculate and interpret the z-score for the maturity for Investment B.
If she can choose only one investment, which should she choose? Justify your answer.
a.
b.
31. Here is a boxplot of the 50 U.S. state populations as of the
Boxplot of Population (2010 Census)
2010 Census. 19
Approximately, what was the median population?
b.
a.
Would the mean be higher, lower, or about the same as
the median? Explain.
Can you guess the states whose populations are
outliers?
**
С.
10000000
20000000
30000000
40000000
Population (2010 Census)
32. Shown here are the maximum wind speeds for the Atlantic
storms of the 2018 hurricane season.20
MaxWind
MaxWind
Name
Name
(mph)
65
(mph)
75
Alberto
Isaac
80 Joyce
45
Find Q1, Q2, and Q3.
Calculate the fences and identify any outliers according
Beryl
Chris
a.
105
Eleven
35
b.
50
Kirk
A 60
Dobhy
Transcribed Image Text:Chapter 2: Summarizing Data 47 wing olivE A person's BAC is currently 0.110%. The legal limit for driving is 0.08%. Should this person plan to drive home in an hour? Explain. с. 29. Refer to question 20 about the stock screener data. Find the 10th and 90th percentiles. Calculate and interpret the z-score for a stock screener that had a 5.75% return for that partícular month. Calculate and interpret the z-score for a stock screener that lost 3% for that particular month. a. b. С. 30. An investor wants to invest money in the bond market. Her top considerations in deciding where to invest are rate of return (higher numbers are better) and maturity. Since she would like access to the funds within the next few years, lower maturities are better. She considers rate of return and maturity of equal importance. The rates of return and maturities of two investments are shown below. The mean and standard deviations of rate of return and maturity for all bond investments are also shown. Investment A Investment B Mean Standard Deviation Rate of Return 8.2% 6.8% 6% 1.5% Maturity 4.1 years 2.4 years 4.5 years 6.0 years Calculate and interpret the z-score for the maturity for Investment B. If she can choose only one investment, which should she choose? Justify your answer. a. b. 31. Here is a boxplot of the 50 U.S. state populations as of the Boxplot of Population (2010 Census) 2010 Census. 19 Approximately, what was the median population? b. a. Would the mean be higher, lower, or about the same as the median? Explain. Can you guess the states whose populations are outliers? ** С. 10000000 20000000 30000000 40000000 Population (2010 Census) 32. Shown here are the maximum wind speeds for the Atlantic storms of the 2018 hurricane season.20 MaxWind MaxWind Name Name (mph) 65 (mph) 75 Alberto Isaac 80 Joyce 45 Find Q1, Q2, and Q3. Calculate the fences and identify any outliers according Beryl Chris a. 105 Eleven 35 b. 50 Kirk A 60 Dobhy
consic
The 25th and 75th percentiles are
considered outliers according to the fences? If so,
d.
Nerer to question 25 about SAT math scores, The z-scores for three students' SAT math
Francisco: 1.59
Charles: -0.99
Indie: 0.73
32. Sho
Which students scored above the mean?
Find the SAT math scores for these three students.
a.
sto
b.
a.
27. Refer to question 16 about the data for the basketball team.
b.
Find the 25th, 50th, and 75th percentiles for the number of points scored.
Find the 25th, 50th, and 75th percentiles for the number of fouls committed.
b.
Calculate the IQR for both distributions.
d.
a.
C.
С.
Calculate and interpret the z-score for the number of fouls committed by player 11.
ehange the points for player 2 from 75 to 100. Then recalculate the mean, standard deviation, median, range,
and IQR. Which of these summaries are resistant to extreme values? Which are not?
e.
The body can absorb alcohol so that the blood alcohol concentration (BAC) decreases by a certain number of
Percentage points per hour. For example, if someone's BAC goes from 0.10% to 0.08% in one hour, their rate would
De 0,02 percentage points per hour. Of course this rate can vary. Suppose the standard deviation of hourly BAC
33
reduction is 0.003 percentage points.
a.
A person is observed to have a BAC that decreased by 0.021 percentage points in an hour, corresponding to a z-
score = 2. Interpret the z-score for this decrease.
b.
What is the mean decrease in BAC per hour?
Transcribed Image Text:consic The 25th and 75th percentiles are considered outliers according to the fences? If so, d. Nerer to question 25 about SAT math scores, The z-scores for three students' SAT math Francisco: 1.59 Charles: -0.99 Indie: 0.73 32. Sho Which students scored above the mean? Find the SAT math scores for these three students. a. sto b. a. 27. Refer to question 16 about the data for the basketball team. b. Find the 25th, 50th, and 75th percentiles for the number of points scored. Find the 25th, 50th, and 75th percentiles for the number of fouls committed. b. Calculate the IQR for both distributions. d. a. C. С. Calculate and interpret the z-score for the number of fouls committed by player 11. ehange the points for player 2 from 75 to 100. Then recalculate the mean, standard deviation, median, range, and IQR. Which of these summaries are resistant to extreme values? Which are not? e. The body can absorb alcohol so that the blood alcohol concentration (BAC) decreases by a certain number of Percentage points per hour. For example, if someone's BAC goes from 0.10% to 0.08% in one hour, their rate would De 0,02 percentage points per hour. Of course this rate can vary. Suppose the standard deviation of hourly BAC 33 reduction is 0.003 percentage points. a. A person is observed to have a BAC that decreased by 0.021 percentage points in an hour, corresponding to a z- score = 2. Interpret the z-score for this decrease. b. What is the mean decrease in BAC per hour?
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