1. Determine whether the value given below is from a discrete or continuous data set. In an election poll. Evan received 16.668.607 votes.
Choose the correct answer below.
A discrete data set because there are a finite number of possible values.
B. A continuous data set because there are infinitely many possible values and those values cannot be counted.
C. A continuous data set because there are infinitely many possible values and those values can be counted.
D. The data set is neither continuous nor discrete.
2. A polling organization contacts 1657 adult men who are 40 to 60 years of age and live in the United States and asks whether or not they had seen their family doctor within the past 6 months
What is the population in the study?
A. Adult men who are 40 to 60 years of age and have seen their family doctor.
B. Adult men who are 40 to 60 years of age.
C. Adult men who are 40 to 60 years of age and live in the United States and have seen their family doctor.
D. Adult men who are 40 to 60 years of age and live in the United States.
What is the sample in the study?
A. The 1657 adult men who are 40 to 60 years of age and live in the United States.
B. Adult men who are 40 to 60 years of age and live in the United States.
C. Adult men who are 40 to 60 years of age.
D. The 1657 adult men who are 40 to 60 years of age and have seen their family doctor.
3. Determine whether the given description corresponds to an observational study or an experiment.
In a study of 403 women with a particular disease. the subjects drank herbal mixtures to determine if the mixtures have an effect on the disease.
Does the given description correspond to an observational study or an experiment?
A. The given description corresponds to an observational study.
B. The given description corresponds to an experiment.
C. The given description does not provide enough information to answer this question.
4. Identify the type of observational study.
A researcher plans to obtain data by examining the financial transactions of victims who perished in a hurricane.
Choose the correct type of observational study below.
A. cross-sectional
B. prospective
C. retrospective
5. Construct one table that includes relative frequencies based on the frequency distributions shown below, then compare the amounts of tar in nonfiltered and filtered cigarettes. Do the cigarette filters appear to be effective? (Hint: filters reduce the amount of tar ingested by the smoker.)
| Tar (mg) in Nonfiltered Cigarettes |
Frequency |
Tar (mg) in Filtered Cigarettes |
Frequency |
| 12-16 |
2 |
2-6 |
1 |
| 17-21 |
1 |
7-11 |
2 |
| 22-26 |
13 |
12-16 |
5 |
| 27-31 |
6 |
17-21 |
17 |
| 32-36 |
3 |
|
|
A. No, because the relative frequencies for each are not substantially different.
B. No, because the relative frequency of the higher tar classes is greater for filtered cigarettes.
C. Yes, because the relative frequency of the higher tar classes is greater for nonfiltered cigarettes.
D. This cannot be determined.
6. Construct the cumulative frequency distribution for the given data.
| Daily Low (°F) |
Frequency |
| 35-39 |
3 |
| 40-44 |
4 |
| 45-49 |
6 |
| 50-54 |
12 |
| 55-59 |
9 |
| 60-64 |
7 |
| 65-69 |
1 |
Construct the cumulative frequency distribution.
| Daily Low Temperature (°F) |
Cumulative Frequency |
|
Less than 40
|
|
|
Less than 45
|
|
|
Less than 50
|
|
|
Less than 55
|
|
|
Less than 60
|
|
|
Less than 65
|
|
|
Less than 70
|
|
7. The data represents the daily rainfall (in inches) for one month. Construct a frequency distribution beginning with a lower class limit of 0.00 and use a class width of 0.20. Does the frequency distribution appear to be roughly a normal distribution?
| 0.43 |
0 |
0 |
0.27 |
0 |
0.66 |
| 0 |
0.17 |
0 |
0 |
1.37 |
0 |
| 0.18 |
0 |
0.02 |
0 |
0.16 |
0 |
| 0.12 |
0.41 |
0 |
0.02 |
0 |
0.26 |
| 0 |
0.16 |
0 |
0 |
0.05 |
0 |
A. Yes, all of the requirements are met.
B. No, although the distribution is approximately symmetric, the frequencies do not start low, increase to some maximum frequency, then decrease.
C. No, although the frequencies start low, increase to some maximum, then decrease, the distribution is not symmetric.
D. No, the distribution is not symmetric and the frequencies do not start off low.
8. Listed below are blood groups of 0. A. B. and AB of randomly selected blood donors. Construct a table summarizing the frequency distribution of these blood groups.
| A |
AB |
0 |
A |
A |
AB |
A |
A |
A |
0 |
| A |
0 |
0 |
A |
A |
B |
B |
0 |
AB |
0 |
| 0 |
0 |
0 |
0 |
B |
A |
|
0 |
A |
A |
| AB |
0 |
0 |
A |
AB |
A |
A |
A |
A |
0 |
9. Construct a scatter diagram using the data table to the right. This data is from a study comparing the amount of tar and carbon monoxide (CO) in cigarettes. Use tar for the horizontal scale and use carbon monoxide (CO) for the vertical scale. Determine whether there appears to be a relationship between cigarette tar and CO.
Full data set
| Tar |
CO |
Tar |
CO |
Tar |
CO |
| 16 |
15 |
9 |
9 |
2 |
3 |
| 14 |
13 |
8 |
11 |
17 |
17 |
| 1 |
1 |
17 |
18 |
6 |
7 |
| 10 |
10 |
18 |
18 |
14 |
15 |
| 5 |
7 |
14 |
13 |
15 |
15 |
Construct a scatter diagram.
Is there a relationship between cigarette tar and CO?
A. No, there appears to be no relationship.
B. Yes, as the amount of tar increases the amount of carbon monoxide also increases.
C. Yes, as the amount of tar increases the amount of carbon monoxide decreases.
10. A format for back-to-back stemplots representing the pulse rate of females and males from the given data is shown below. Complete the back-to-back stemplot, then compare the results.
| Females |
Males |
| 75 |
64 |
| 84 |
89 |
| 76 |
60 |
| 80 |
69 |
| 64 |
78 |
| 89 |
89 |
| 60 |
59 |
| 84 |
67 |
| 65 |
84 |
| 62 |
80 |
| 66 |
74 |
| 72 |
66 |
| 75 |
64 |
| 102 |
68 |
| 64 |
57 |
| 78 |
78 |
| 83 |
84 |
| 63 |
67 |
| 82 |
51 |
| 120 |
68 |
Complete the back-to-back stemplot.
| Women |
Stem(tens) |
Men |
|
5 |
179 |
| 654432 |
6 |
|
|
7 |
|
|
8 |
|
|
9 |
|
|
10 |
|
|
11 |
|
|
12 |
|
Compare the results.
A. The distribution of pulse rates for men is concentrated, centered around 60, whereas the distribution of pulse rates for women is more spread out, centered around 70.
B. The distribution of pulse rates for women is concentrated, centered around 60, whereas the distribution of pulse rates for men is more spread out, centered around 70.
C. The distribution of pulse rates for both men and women are concentrated, and centered around 60.
11. Find the (a) mean, (b) median. (c) mode, and (d) midrange for the given sample data.
An experiment was conducted to determine whether a deficiency of carbon dioxide in the soil affects the phenotype of peas. Listed below are the phenotype codes where 1 = smooth-yellow. 2 = smooth-green. 3 = wrinkled-yellow, and 4 = wrinkled-green. Do the results make sense?
2 2 3 2 1 3 3 2 2 1 1 4 1 2
(a) The mean phenotype code is ___.
(b) The median phenotype code is
(c) Select the correct choice below and fill in any answer boxes within your choice.
A. The mode phenotype code is
B. There is no mode.
(d)The midrange of the phenotype codes is
Do the measures of center make sense
A.All the measures of center make sense since the data is numerical.
B.Only the mode makes sense since the data is nominal.
C.Only the mean, median, and midrange make sense since the data is nominal.
D.Only the mean, median, and mode make sense since the data is numerical.
12. The systolic blood pressures of 40 women have a mean of 110.8 mm Hg and a standard deviation of 17.1 mm Hg. The highest systolic blood pressure measurement in this sample is 181 mm Hg. In this context, is a systolic blood pressure of 181 mm Hg "unusual"? Why or why not?
Choose the correct answer below.
A. Yes, because it differs from the mean by more than one standard deviation.
B. Yes, because it differs from the mean by more than two standard deviations.
C. No, because it does not differ from the mean by more than two standard deviations.
D. No, because it does not differ from the mean by more than one standard deviation.
13. Listed below are the playing times (in seconds) of 16 popular songs. Find the range. variance, and standard deviation for the set of data. Does the standard deviation change much if the longest playing time is deleted?
440 233 266 263 201 272 236 295 291 270 211 207 251 287 221 286
The range of the sample data is ___ seconds. (Type an integer or a decimal.)
The variance of the sample data is___
The standard deviation of the sample data is ___.
Does the standard deviation change much if the longest playing time is deleted?
Yes
No
14. The two boxplots correspond to the service times from two different companies that repair air conditioning units. They are drawn on the same scale. The top boxplot corresponds to Qool Air. Inc., and the bottom boxplot corresponds to the Fresh Air company. Which company has less variation in repair times? Which company should have more predictable costs?
Choose the correct answer below.
A. Qool has less variation. Because Qool has less variation, estimates of repair costs will tend to be less accurate. Thus. Fresh will have more predictable costs.
B. Qool has less variation. Because Qool has less variation, estimates of repair costs will tend to be more accurate, so the costs will tend to be more predictable.
C. Fresh has less variation. Because Fresh has less variation. estimates of repair costs will tend to be less accurate. Thus, Qool will have more predictable costs.
D. Fresh has less variation. Because Fresh has less variation. estimates of repair costs will tend to be more accurate. so the costs will tend to be more predictable.
15. A particular group of men have heights with a mean of 179 cm and a standard deviation of 7 cm. Jordan had a height of 188 cm.
a. What is the positive difference between Jordan's height and the mean?
b. How many standard deviations is that [the difference found in part (a)]?
c. Convert Jordan's height to a z score.
d. If we consider "usual" heights to be those that convert to z scores between - 2 and 2. is Jordan's height usual or unusual?
a. The positive difference between Jordan's height and the mean ___ is cm.
b. The difference is _____ standard deviations.
c. The z score is ___
d. Is Jordan's height usual or unusual?
16. A certain animal's body temperature has a mean of 90.33°F and a standard deviation of 0.73°F. Convert the given temperatures to z scores.
a. 90.23°F b. 92.23°F c. 90.33°F
a. z = __(Type an integer or decimal rounded to two decimal places as needed.)
b. z = __(Type an integer or decimal rounded to two decimal places as needed.)
c. z = __(Type an integer or decimal rounded to two decimal places as needed.)
17. Which is relatively better: a score of 61 on a psychology test or a score of 49 on an economics test? Scores on the psychology test have a mean of 94 and a standard deviation of 15. Scores on the economics test have a mean of 53 and a standard deviation of 3.
Choose the correct answer below.
A. The economics test score is relatively better because its z score is greater than the z score for the psychology test score.
B. The psychology test score is relatively better because its z score is less than the z score for the economics test score.
C. The economics test score is relatively better because its z score is less than the z score for the psychology test score.
D. The psychology test score is relatively better because its z score is greater than the z score for the economics test score.
18. Find the third quartile Q3 of the list of 24 sorted values shown below.
30 30 32 37 38 39 40 40 43 45 46 48 49 51 51 51 51 56 58 58 61 63 68 72
The third quartile Q3 is ___ . (Type an integer or a decimal.)
19. Below are 36 sorted ages of an acting award winner. Find P75 using the method presented in the textbook.
|
16
|
19
|
23
|
23
|
24
|
30
|
31
|
31
|
35
|
36
|
|
37
|
37
|
38
|
40
|
41
|
41
|
43
|
44
|
51
|
53
|
|
58
|
60
|
62
|
63
|
64
|
64
|
66
|
67
|
69
|
71
|
|
72
|
74
|
76
|
77
|
79
|
80
|
|
|
|
|
P75 = ___ (Type an integer or a decimal.)