Grading Sheet

Part 1

Requirements: Answer each question fully. Use Excel formulas with cell references. Answers must be recorded on the worksheet.

Possible points

Points earned

Comments

Five year inflation rate

10

Projection of expenses in Worksheet 1

10

Part 1 total

20

0

Part 2

Requirements: Answer each question fully. Use Excel formulas with cell references. Answers must be recorded on the worksheet.

Possible points

Points earned

Comments

Descriptive Statistics

16

Interpret Descriptive Statistics

14

Proportion calculations

10

Interpretation of proportions

10

Conversion of before well

5

Conversion of after well

5

Improvement level data set

5

Descriptive Statistics for improvement levels

10

Histogram

5

Standard error of the mean

5

Confidence interval

10

Discussion of the placement of 0

10

Part 2 total

105

0

Total of Worksheet 2

125

0

0%

Part 1 Inflation

Input your name here

name

Part 1 – Budget Projection: Your friends have decided to delay your dream vacation from Worksheet 1 for five years, and you need to estimate what the cost of your trip will be by then. Step 1: Go to the Bureau of Labor Statistics website at https://data.bls.gov/cgi-bin/surveymost?cu. Step 2: Check U.S. All items, 1982-84=100 Step 3: Click “Retrieve Data” Use the most recent CPI value and the CPI for the same month but five years earlier to estimate the price of your trip in five years and the five year inflation rate.

Month

Year

CPI

Unadjusted CPI, all items for 5 years ago

number

number

number

Unadjusted CPI, all items for last month

number

number

number

Inflation rate: something that cost $1.00 five years ago would cost what now?

formula

What percent increase is this?

formula

Total budget from Worksheet 1

number

5 year projected budget total

formula

https://data.bls.gov/cgi-bin/surveymost?cu

Part 2 Questions 1-3

Before wells were dug – Millions of E.Coli per ml

After wells were dug – Millions of E.Coli per ml

YOUR NAME:

Joe Lope

Original Before Data

Original After Data

Random numbers

seed

23

52

Before

After

8

21

3

min =

formula

min =

formula

78

67

9

1

63

52

64

35

max =

formula

max =

formula

19

4

17

2

4

0

54

44

mean=

formula

mean=

formula

32

23

25

3

17

8

72

49

SD =

formula

SD =

formula

125

110

33

4

110

95

50

35

sample size =

formula/number

sample size =

formula/number

53

41

41

5

38

26

52

38

0 count =

formula/number

0 count =

formula/number

68

42

49

6

53

27

49

10

4

10

57

7

0

0

55

32

Ratio

Before

After

106

79

65

8

91

64

73

52

Percent Clean

formula

formula

38

6

73

9

23

0

55

17

36

16

81

10

21

1

51

37

Conversions

4

14

89

11

0

0

38

26

ml

oz

17

5

97

12

2

0

28

0

29.5735

1

43

9

5

13

28

0

60

44

23

3

13

14

8

0

57

40

In 24 ounces

32

8

21

15

17

0

59

30

E.coli before

E. coli after

49

28

29

16

34

13

60

42

formula

formula

36

18

37

17

21

3

61

34

2

21

45

18

0

6

57

33

33

22

53

19

18

7

71

50

58

25

61

20

43

10

57

40

75

59

69

21

60

44

63

38

82

63

77

22

67

48

64

43

80

60

85

23

65

45

63

52

70

52

93

24

55

37

23

0

79

50

1

25

64

35

21

3

73

66

9

26

58

51

64

35

76

54

17

27

61

39

54

44

72

42

25

28

57

27

72

49

72

55

33

29

57

40

50

35

70

53

41

30

55

38

52

38

84

54

49

31

69

39

49

10

81

62

57

32

66

47

55

32

69

59

65

33

54

44

73

52

85

52

73

34

70

37

55

17

100

69

81

35

85

54

51

37

70

57

89

36

55

42

38

26

74

45

97

37

59

30

28

0

63

39

5

38

48

24

60

44

76

60

13

39

61

45

57

40

78

75

21

40

63

60

59

30

87

64

29

41

72

49

60

42

71

41

37

42

56

26

61

34

83

67

45

43

68

52

57

33

71

56

53

44

56

41

71

50

75

57

61

45

60

42

57

40

76

58

69

46

61

43

63

38

63

39

77

47

48

24

64

43

70

38

85

48

55

23

63

52

65

50

93

49

50

35

23

0

83

59

1

50

68

44

21

3

76

48

9

51

61

33

64

35

78

59

17

52

63

44

54

44

76

49

25

53

61

34

72

49

68

47

33

54

53

32

50

35

77

51

41

55

62

36

52

38

75

58

49

56

60

43

49

10

67

53

57

57

52

38

55

32

74

45

65

58

59

30

73

52

86

58

73

59

71

43

55

17

85

67

81

60

70

52

51

37

72

48

89

61

57

33

38

26

73

65

97

62

58

50

28

0

59

43

5

63

44

28

60

44

72

55

13

64

57

40

57

40

64

25

21

65

49

10

59

30

67

48

29

66

52

33

60

42

79

55

37

67

64

40

61

34

64

33

45

68

49

18

57

33

86

65

53

69

71

50

71

50

74

53

61

70

59

38

57

40

83

61

69

71

68

46

63

38

81

55

77

72

66

40

64

43

70

47

85

73

55

32

63

52

71

54

93

74

56

39

23

0

68

54

1

75

53

39

21

3

76

64

9

76

61

49

64

35

72

55

17

77

57

40

54

44

71

55

25

78

56

40

72

49

86

77

33

79

71

62

50

35

86

62

41

80

71

47

52

38

88

67

49

81

73

52

49

10

78

59

57

82

63

44

55

32

73

45

65

83

58

30

73

52

84

57

73

84

69

42

55

17

78

53

81

85

63

38

51

37

77

57

89

86

62

42

38

26

88

68

97

87

73

53

28

0

83

61

5

88

68

46

60

44

70

32

13

89

55

17

57

40

65

48

21

90

50

33

59

30

74

52

29

91

59

37

60

42

73

53

37

92

58

38

61

34

79

58

45

93

64

43

57

33

87

59

53

94

72

44

71

50

79

57

61

95

64

42

57

40

77

55

69

96

62

40

63

38

66

52

77

97

51

37

64

43

73

58

85

98

58

43

63

52

85

63

93

99

70

48

77

55

1

100

62

40

Part 2 – Data Analysis: Enter your name in cell F1 to generate data. You have just completed a mission to Sierra Leone. The goal of the mission was to improve the quality of water in 100 wells in a certain region. You collected data on the E. coli count from each well before and after your mission. You need to write a report on the success of the mission and for that you need to perform some statistical analysis on the data. You will be looking at the data from different perspectives to determine if the water quality has improve. 1. Calculate descriptive statistics for your data in the table provided in the Excel spreadsheet. Use the means and standard deviations of the data to decide if it appears that there has been improvement in water quality? (Fill in the before (F3:F8) and after (H3:H8) tables to the left for the descriptive statistics. The data has been named before and after for your convenience in creating formulas.) Answer here: 2. The water quality is “good” if the count of E coli is 0; otherwise, the water quality is still bad. Calculate the proportion of wells with “good” water to wells whose water is not good. From this measure does it appear that the quality of water improved? Explain and use the proportions that you calculated. (In G11 and H11 calculate the percent Clean for before and after.) Answer here: 3. Look at well #1 (B2 and C2) in your data. If you drank 24oz of water how many E.coli would you ingest if you drank from the well before the mission? After the mission? (In E19 and G19 calculate how many E.coli would you ingest if you drank 24 oz. of water from Well 1 before the mission and after the mission.)

Part 2 Questions 4-6

Before wells were dug – Millions of E.Coli per ml

After wells were dug – Millions of E.Coli per ml

Improvement Level: Before – After

23

52

IMPROVEMENTS

21

3

min =

formula

64

35

max =

formula

54

44

mean=

formula

72

49

SD =

formula

50

35

SE =

formula

52

38

49

10

55

32

Frequency Distribution

73

52

Low

High

Bins

Cumulative Frequency

Frequency

55

17

Formula/Number

Formula/Number

words or formula

Formula

Formula

51

37

Formula/Number

Formula/Number

words or formula

Formula

Formula

38

26

Formula/Number

Formula/Number

words or formula

Formula

Formula

28

0

Formula/Number

Formula/Number

words or formula

Formula

Formula

60

44

Formula/Number

Formula/Number

words or formula

Formula

Formula

57

40

Formula/Number

Formula/Number

words or formula

Formula

Formula

59

30

Formula/Number

Formula/Number

words or formula

Formula

Formula

60

42

Formula/Number

Formula/Number

words or formula

Formula

Formula

61

34

Formula/Number

Formula/Number

words or formula

Formula

Formula

57

33

Formula/Number

Formula/Number

words or formula

Formula

Formula

71

50

Formula/Number

Formula/Number

words or formula

Formula

Formula

57

40

(remember to create the Histogram, too).

63

38

64

43

63

52

23

0

95% Confidence Interval

21

3

Lower number

to

Higher number

64

35

formula

to

formula

54

44

72

49

50

35

52

38

49

10

55

32

73

52

55

17

51

37

38

26

28

0

60

44

57

40

59

30

60

42

61

34

57

33

71

50

57

40

63

38

64

43

63

52

23

0

21

3

64

35

54

44

72

49

50

35

52

38

49

10

55

32

73

52

55

17

51

37

38

26

28

0

60

44

57

40

59

30

60

42

61

34

57

33

71

50

57

40

63

38

64

43

63

52

23

0

21

3

64

35

54

44

72

49

50

35

52

38

49

10

55

32

73

52

55

17

51

37

38

26

28

0

60

44

57

40

59

30

60

42

61

34

57

33

71

50

57

40

63

38

64

43

63

52

Part 2 – Data Analysis: You have just completed a mission to Sierra Leone. The goal of the mission was to improve the quality of water in 100 wells in a certain region. You collected data on the E. coli count from each well before (Q1) after your mission (Q2). You need to write a report on the success of the mission and for that you need to perform some statistical analysis on the data. You will be looking at the data from different perspectives to determine if the water quality has improved. 4. Since you collected water from the same source twice it makes sense to analyze the amount by which each well’s water quality improved. Calculate a data set that would measure the improvement level of each well, and the descriptive statistics for that data set, including both the standard deviation and standard error (SE) for the data set. (see section 3.5 of the textbook). Make a frequency distribution and histogram for your data. (Calculate the improvement in the water quality of each well in column D. (Difference in Level of e. Coli.) Then, fill out the two tables to the left and make a histogram of the improvement levels. (NOTE: The Standard deviation of this data set is not the same as the standard error. Use the formulas from section 3.5 of the text to calculate the standard error of the means.)) 5. You have calculated one sample of 100 wells and their improvement levels. If you could take all possible samples of 100 wells, the distribution of all of those sample means would be a normal distribution. (see section 3.5). Find the 95% confidence interval of that distribution, using your sample mean as the population mean and the standard error of your sample as the population standard deviation. (Calculate the 95% confidence interval of the sampling distribution in cells F24 and H24.) 6. Suppose that 0 was inside of the 95% confidence interval. From that measure, could you conclude that the water became cleaner? Why or why not? Suppose that 0 was outside the 95% confidence interval. From that measure, could you conclude that the water became cleaner? Why or why not? Answer here:

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