Answer To: 3/13/2021 Unit VIII Homework-Gaibrielle Goodson https://xlitemprod.pearsoncmg.com/api/v1/print/math...
Mohd answered on Mar 16 2021
3/13/2021
Unit VIII Homework-Gaibrielle Goodson
Answers: Bolded one
Student: Gaibrielle Goodson
Instructor: Katherine Springer
Course: MTH 2023-W18Gc-4A21-S1,
Assignment: Unit VIII Homework
Date: 03/13/21
Elementary Statistics
Answers: Bolded one
1. Determine whether the data set is a population or a sample. Explain your reasoning. The number of pets for 20 households in a town with 300 households
Choose the correct answer below.
A. Sample, because the collection of the number of pets for 20 households is a subset of all households in the town.
B. Sample, because it is a collection of the number of pets in all households in the town, but there are other towns.
C. Population, because it is a collection of the number of pets in all households in the town.
D. Population, because it is a subset of all households in the town.
2. The top five books on the best seller list last year are shown below.
1. Private London
2. Threat Vector
3. Spring Fever
4. Kiss The Dead
5. The Racketeer
Identify the level of measurement of the data set. Explain your reasoning.
What is the data set's level of measurement? Explain your reasoning.
A. Ordinal. The data can be arranged in order, but the differences between data entries are not meaningful.
B. Ratio. The data can be ordered and differences between data entries are meaningful, and the zero entry is an inherent zero.
C. Interval. The data can be ordered and differences between data entries are meaningful, but the zero entry is not an inherent zero.
D. Nominal. The data are categorized using names, labels, or qualities, but the data cannot be ranked or arranged in order.
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Unit VIII Homework-Gaibrielle Goodson
3. Identify the sampling techniques used, and discuss potential sources of bias (if any). Explain.
Chosen at random, 620 customers at a grocery store are contacted and asked their opinions of the service they received. What type of sampling is used?
A. Convenience sampling is used, since the business is selecting from its customers that are easiest to reach.
B. Systematic sampling is used, since customers are selected at fixed intervals.
C. Stratified sampling is used, since the population of customers is divided into groups and a random sample is selected from each group.
D. Cluster sampling is used, since the population of customers is divided into groups and several groups are selected and all of their members sampled.
E. Simple random sampling is used, since the business is selecting from its customers at random, and all samples of 620 customers have an equal chance of being selected.
What potential sources of bias are present, if any? Select all that apply.
A. If there is a regular pattern to the customers, it is possible for the sample to not be representative.
B. The sample consists only of customers that are easy to reach. This sample may not be representative of the population.
C. The wording of the question asked to the customers may influence them towards a particular response. The results would not be usable in this case.
D. There are no potential sources of bias.
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Unit VIII Homework-Gaibrielle Goodson
4. Use the given frequency distribution to find the
Temperature (°F)
Frequency
(a) class width.
32 35
1
(b) class midpoints.
36 39
3
(c) class boundaries.
40 43
5
44 47
11
48 51
7
52 55
7
56 59
1
(a) What is the class width?
3 (Type an integer or a decimal.)
(b) What are the class midpoints? Complete the table below. (Type integers or decimals.)
Temperature (°F)
Frequency
Midpoint
32 35
1
33.5
36 39
3
37.5
40 43
5
41.5
44 47
11
45.5
48 51
7
49.5
52 55
7
53.5
56 59
1
57.5
(c) What are the class boundaries? Complete the table below. (Type integers or decimals.)
Temperature (°F)
Frequency
Class boundaries
32 35
1
31.5-35.5
36 39
3
35.5-39.5-
40 43
5
39.5-43.5-
44 47
11
43.5-47.5-
48 51
7
47.5-51.5-
52 55
7
51.5-55.5-
56 59
1
55.5-59.5-
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Unit VIII Homework-Gaibrielle Goodson
5. Use a stem-and-leaf plot that has two rows for each stem to display the data, which represent the income (in millions) of 30 of the highest paid athletes. Describe any patterns.
35
36
44
50
35
55
56
68
48
63
46
37
78
45
34
44
43
81
53
38
73
34
38
86
34
53
41
42
45
38
Determine the leaves in the stem-and-leaf plot below.
Key: 3|3 = 33
Frequency Stem & Leaf
3.00 3 . 444
7.00 3 . 5567888
5.00 4 . 12344
4.00 4 . 5568
3.00 5 . 033
2.00 5 . 56
1.00 6 . 3
1.00 6 . 8
1.00 7 . 3
1.00 7 . 8
2.00 Extremes (>=81)
Stem width: 10.00
Each leaf: 1 case(s)
What best describes the data?
A. Most of the incomes are greater than 60 million dollars.
B. The incomes are evenly spread between 30 and 90 million dollars.
C. Most of the incomes are between 50 and 70 million dollars.
D. Most of the incomes are less than 60 million dollars.
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Unit VIII Homework-Gaibrielle Goodson
6. The tuition and fees (in thousands of dollars) for the top 14 universities in a recent year are listed below. Find the mean, median, and mode of the data, if possible. If any of these measures cannot be found or a measure does not represent the center of the data, explain why.
44
47
46
41
47
41
44
35
39
47
44
44
44
47
Find the mean cost. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The mean cost is 43.57
.
(Round to one decimal place as needed.)
B. There is no mean cost.
Does the mean represent the center of the data?
A. The mean represents the center.
B. The mean does not represent the center because it is the largest data value.
C. The mean does not represent the center because it is the smallest data value.
D. The mean does not represent the center because it is not a data value.
E. There is no mean cost.
Find the median cost. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The median cost is 44
.
(Round to one decimal place as needed.)
B. There is no median cost.
Does the median represent the center of the data?
A. The median represents the center.
B. The median does not represent the center because it is the largest data value.
C. The median does not represent the center because it is the smallest data value.
D. The median does not represent the center because it is not a data value.
E. There is no median cost.
Find the mode of the costs. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The mode(s) of the costs is (are) 44
.
(Round to one decimal place as needed. Use a comma to separate answers as needed.)
B. There is no mode.
Does (Do) the mode(s) represent the center of the data?
A. The mode(s) represent(s) the center.
B. The mode(s) does (do) not represent the center because it (one) is the smallest data value.
C. There is no mode.
D. The mode(s) does (do) not represent the center because it (they) is (are) not a data value.
E. The mode(s) does (do) not represent the center because it (one) is the largest data value.
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Unit VIII Homework-Gaibrielle Goodson
7. The numbers of regular season wins for 10 football teams in a given season are given below. Determine the range, mean, variance, and standard deviation of the population data set.
2, 10, 15, 3, 11, 7, 12, 9, 5, 6
The range is
.
(Simplify your
answer.)
The population mean is
8.
(Simplify your answer. Round to the nearest tenth as needed.)
The population variance is15.4
.
(Simplify...