# Identify which of these types of sampling

1. Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate. Nationalities of survey respondents.

Nominal

Ordinal

Ratio

Interval

2. Perform the requested conversions. Round decimals to the nearest thousandth and percents to the nearest tenth of a percent, if necessary. Convert the fraction 7/11 to an equivalent decimal and percentage.

0.756, 75.6%

0.636, 63.6%

0.636, 6.36%

0.756, 756%

3.Identify which of these types of sampling is used: random, stratified, systematic, cluster, convenience. 49, 34, and 48 students are selected from the Sophomore, Junior, and Senior classes with 496, 348, and 481 students respectively.

Random

Cluster

Systematic

Stratified

Convenience

4.Identify the type of observational study (cross-sectional, retrospective, prospective). A town obtains current employment data by polling 10,000 of its citizens this month.

Cross-sectional

Prospective

Retrospective

None of these

Provide an appropriate response. The following frequency distribution analyzes the scores on a math test. Find the class midpoint of scores interval 40-59.

49.0

50.5

48.5

49.5

Construct the cumulative frequency distribution that corresponds to the given frequency distribution. Choose A, B, C or D.

Provide an appropriate response. The histogram below represents the number of television sets per household for a sample of U.S. households. How many households are included in the histogram?

110

90

100

95

8. Find the original data from the stemplot.

2345, 2346, 2421, 2434, 2473, 2545, 2591

68, 113, 44, 58, 97, 70, 115

68, 113, 58, 58, 97, 70, 115

2345, 2390, 2420, 2434, 2473, 2545, 2590

9. Find the mean for the given sample data. Unless indicated otherwise, round your answer to one more decimal place than is present in the original data values. The local Tupperware dealers earned these commissions last month: $1077.28, $2661.13, $4642.11, $4264.15, $1019.55, $3444.20, $2525.92, $3740.26, $3533.07, $1633.84 What was the mean commission earned? Round your answer to the nearest cent.

$3171.28

$2848.15

$3567.69

$2854.15

10.Find the median for the given sample data. The distances (in miles) driven in the past week by each of a company's sales representatives are listed below. 107, 114, 214, 230, 436, 445Find the median distance driven.

222 mi

220.50 mi

230 mi

214 mi

11.Find the midrange for the given sample data. The speeds (in mph) of the cars passing a certain checkpoint are measured by radar. The results are shown below. Find the midrange. 44.3, 41.4, 42.4, 40.7, 43.1, 40.3, 44.5, 41.4, 44.3, 42.1 43.4 41.4 40.7 43.4 41.4

4.20 mph

42.30 mph

42.1 mph

42.40 mph

12. Solve the problem. A student earned grades of C, A, B, and A. Those courses had these corresponding numbers of credit hours: 4, 5, 1, and 5. The grading system assigns quality points to letter grades as follows: A=4, B=3, C=2, D=1, and F=0. Compute the grade point average (GPA) and round the result to two decimal places.

8.75

2.18

3.50

3.40

13.Find the range for the given sample data. The manager of an electrical supply store measured the diameters of the rolls of wire in the inventory. The diameters of the rolls (in meters) are listed below. 0.177, 0.115, 0.542, 0.413, 0.618, 0.315

0.503 m

0.138 m

0.115 m

0.542 m

14. Find the variance for the given data. Round your answer to one more decimal place than the original data. The weights (in ounces) of 10 cookies are shown. 1.47, 0.56, 0.58, 0.86, 1.21, 1, 1.46, 1.44, 0.88, 0.53

0.118 oz^2

0.144 oz^2

0.13 oz^2

0.108 oz^2

15. Find the standard deviation for the given sample data. Round your answer to one more decimal place than is present in the original data. Listed below are the amounts of time (in months) that the employees of a restaurant have been working at the restaurant. 2, 3, 5, 13, 22, 35, 60, 86, 101, 122

43.3 months

42.2 months

45.8 months

44.5 months

16. use the empirical rule to solve the problem. At one college, GPA's are normally distributed with a mean of 2.9 and a standard deviation of 0.6. What percentage of students at the college have a GPA between 2.3 and 3.5?

99.7%

84.13%

68%

95%

17. Solve the problem. Round results to the nearest hundredth. The mean of a set of data is -3.82 and its standard deviation is 2.31. Find the z score for a value of 3.99.

3.04

3.72

3.68

3.38

18. Find the percentile for the data value. Data set: 122, 134, 126, 120, 128, 130, 120, 118, 125, 122, 126, 136, 118, 122, 124, 119 data value: 128

75

85

62

70

19. Find the indicated measure. The weights (in pounds) of 30 newborn babies are listed below. Find Q1. 5.5, 5.7, 5.8, 6.0, 6.1, 6.1, 6.3, 6.4, 6.5, 6.6, 6.7, 6.7, 6.7, 6.9, 7.0, 7.0, 7.0, 7.1, 7.2, 7.2, 7.4, 7.5, 7.7, 7.7, 7.8, 8.0, 8.1, 8.1, 8.3, 8.7

7.5 lb

6.4 lb

5.8 lb

6.3 lb

20.Find the indicated measure. The test scores of 32 students are listed below. Find P46. 32, 37, 41, 44, 46, 48, 53, 55, 56, 57, 59, 63, 65, 66, 68, 69, 70, 71, 74, 74, 75, 77, 78, 79, 80, 82, 83, 86, 89, 92, 95, 99

14.72

67

68

15

Nominal

Ordinal

Ratio

Interval

2. Perform the requested conversions. Round decimals to the nearest thousandth and percents to the nearest tenth of a percent, if necessary. Convert the fraction 7/11 to an equivalent decimal and percentage.

0.756, 75.6%

0.636, 63.6%

0.636, 6.36%

0.756, 756%

3.Identify which of these types of sampling is used: random, stratified, systematic, cluster, convenience. 49, 34, and 48 students are selected from the Sophomore, Junior, and Senior classes with 496, 348, and 481 students respectively.

Random

Cluster

Systematic

Stratified

Convenience

4.Identify the type of observational study (cross-sectional, retrospective, prospective). A town obtains current employment data by polling 10,000 of its citizens this month.

Cross-sectional

Prospective

Retrospective

None of these

Provide an appropriate response. The following frequency distribution analyzes the scores on a math test. Find the class midpoint of scores interval 40-59.

49.0

50.5

48.5

49.5

Construct the cumulative frequency distribution that corresponds to the given frequency distribution. Choose A, B, C or D.

Provide an appropriate response. The histogram below represents the number of television sets per household for a sample of U.S. households. How many households are included in the histogram?

110

90

100

95

8. Find the original data from the stemplot.

2345, 2346, 2421, 2434, 2473, 2545, 2591

68, 113, 44, 58, 97, 70, 115

68, 113, 58, 58, 97, 70, 115

2345, 2390, 2420, 2434, 2473, 2545, 2590

9. Find the mean for the given sample data. Unless indicated otherwise, round your answer to one more decimal place than is present in the original data values. The local Tupperware dealers earned these commissions last month: $1077.28, $2661.13, $4642.11, $4264.15, $1019.55, $3444.20, $2525.92, $3740.26, $3533.07, $1633.84 What was the mean commission earned? Round your answer to the nearest cent.

$3171.28

$2848.15

$3567.69

$2854.15

10.Find the median for the given sample data. The distances (in miles) driven in the past week by each of a company's sales representatives are listed below. 107, 114, 214, 230, 436, 445Find the median distance driven.

222 mi

220.50 mi

230 mi

214 mi

11.Find the midrange for the given sample data. The speeds (in mph) of the cars passing a certain checkpoint are measured by radar. The results are shown below. Find the midrange. 44.3, 41.4, 42.4, 40.7, 43.1, 40.3, 44.5, 41.4, 44.3, 42.1 43.4 41.4 40.7 43.4 41.4

4.20 mph

42.30 mph

42.1 mph

42.40 mph

12. Solve the problem. A student earned grades of C, A, B, and A. Those courses had these corresponding numbers of credit hours: 4, 5, 1, and 5. The grading system assigns quality points to letter grades as follows: A=4, B=3, C=2, D=1, and F=0. Compute the grade point average (GPA) and round the result to two decimal places.

8.75

2.18

3.50

3.40

13.Find the range for the given sample data. The manager of an electrical supply store measured the diameters of the rolls of wire in the inventory. The diameters of the rolls (in meters) are listed below. 0.177, 0.115, 0.542, 0.413, 0.618, 0.315

0.503 m

0.138 m

0.115 m

0.542 m

14. Find the variance for the given data. Round your answer to one more decimal place than the original data. The weights (in ounces) of 10 cookies are shown. 1.47, 0.56, 0.58, 0.86, 1.21, 1, 1.46, 1.44, 0.88, 0.53

0.118 oz^2

0.144 oz^2

0.13 oz^2

0.108 oz^2

15. Find the standard deviation for the given sample data. Round your answer to one more decimal place than is present in the original data. Listed below are the amounts of time (in months) that the employees of a restaurant have been working at the restaurant. 2, 3, 5, 13, 22, 35, 60, 86, 101, 122

43.3 months

42.2 months

45.8 months

44.5 months

16. use the empirical rule to solve the problem. At one college, GPA's are normally distributed with a mean of 2.9 and a standard deviation of 0.6. What percentage of students at the college have a GPA between 2.3 and 3.5?

99.7%

84.13%

68%

95%

17. Solve the problem. Round results to the nearest hundredth. The mean of a set of data is -3.82 and its standard deviation is 2.31. Find the z score for a value of 3.99.

3.04

3.72

3.68

3.38

18. Find the percentile for the data value. Data set: 122, 134, 126, 120, 128, 130, 120, 118, 125, 122, 126, 136, 118, 122, 124, 119 data value: 128

75

85

62

70

19. Find the indicated measure. The weights (in pounds) of 30 newborn babies are listed below. Find Q1. 5.5, 5.7, 5.8, 6.0, 6.1, 6.1, 6.3, 6.4, 6.5, 6.6, 6.7, 6.7, 6.7, 6.9, 7.0, 7.0, 7.0, 7.1, 7.2, 7.2, 7.4, 7.5, 7.7, 7.7, 7.8, 8.0, 8.1, 8.1, 8.3, 8.7

7.5 lb

6.4 lb

5.8 lb

6.3 lb

20.Find the indicated measure. The test scores of 32 students are listed below. Find P46. 32, 37, 41, 44, 46, 48, 53, 55, 56, 57, 59, 63, 65, 66, 68, 69, 70, 71, 74, 74, 75, 77, 78, 79, 80, 82, 83, 86, 89, 92, 95, 99

14.72

67

68

15

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