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2.5 Practice Problems 1. Use Excel...

2.5 Practice Problems

1. Use Excel to create a worksheet, called Data, with the following data. The data were presented in Table 4.3 and were measured in a subsample of n=10 participants who attended the seventh examination of the Framingham Offspring Study. Place the variable names in the first row of the worksheet. (Try the copy and paste icons on the menu bar to enter the data.)

Participant

ID Systolic Diastolic Total Serum Cholesterol

Blood Pressure Blood Pressure

Weight Height

1 141 76 199 138 63.00

2 119 64 150 183 69.75

3 122 62 227 153 65.75

4 127 81 227 178 70.00

5 125 70 163 161 70.50

6 123 72 210 206 70.00

7 105 81 205 235 72.00

8 113 63 275 151 60.75

9 106 67 208 213 69.00

10 131 77 159 142 61.00

2. Compute two new variables for each participant, body mass index (BMI) and mean arterial pressure (MAP). The formulas for the variables are shown below.

BMI = and

MAP ={(2*Diastolic Blood Pressure) + Systolic Blood Pressure}/3.

3. Compute the sample size for the MAP data using the COUNT function and store the result in the Data worksheet.

4. Compute the mean MAP by programming the formula for the mean (i.e., ) and store the result in the Data worksheet.

5. Compute the standard deviation of the MAP values by programming the formula for the standard deviation (i.e., ) and store the result in the Data worksheet.

1. The following data were measured in n=15 college seniors in a cross-sectional study of alcohol consumption. Each participant was asked their sex, year in school, the age at which they first consumed alcohol and the number of alcoholic drinks they consume on a typical drinking night. The data are shown below.

ID Number Sex Year in School Age at First Drink* Number of Drinks/Nig ht

1 M Freshman 14 5

2 M Senior 11 8

3 F Junior 17 3

4 M Junior 13 9

5 F Freshman 0

6 F Sophomore 15 4

7 F Freshman 15 0

8 F Freshman 0

9 M Senior 15 7

10 F Junior 21 5

11 M Junior 18 3

12 M Senior 14 6

13 F Junior 19 3

14 F Sophomore 18 2

15 M Junior 20 4

*Students who never had a drink were excluded.

Generate frequency distribution tables for sex and year in school using the Data –

Pivot Table and Pivot Chart Report option on the menu bar.

2. Generate a frequency bar chart for sex using the Pivot Table and Pivot Chart Report from problem #1.

3. Generate a frequency histogram for year in school using the Pivot Table and Pivot Chart Report from problem #1.

4. Create a frequency distribution table for drinking status, defined by the following numbers of drinks per night:

Abstinent 0

Light 1-3

Moderate 4-5

Heavy 6 or more drinks per night

5. Generate a frequency histogram for drinking status using the Chart Wizard.

6. Generate a scatter diagram to display the association between age at first drink and number of drinks per night. (Note that the sample size for analysis is n=13.)

4.3 Practice Problems

1. A study is conducted to estimate the mean total cholesterol level in children 2-6 years of age. A sample of 9 participants is selected and their total cholesterol levels are measured as follows.

185 225 240 196 175 180 194 147 223

a. Use the Data Analysis Tool to compute the sample mean, standard deviation and median.

b. Use the QUARTILE function to compute the first and third quartiles.

2. The following data were collected as part of a study of coffee consumption among graduate students. The following reflect cups per day consumed:

3 4 6 8 2 1 0 2

a. Use the Data Analysis Tool to compute the sample mean, standard deviation and median.

b. Use the QUARTILE function to compute the first and third quartiles.

3. In the study of a new anti-hypertensive medication, systolic blood pressures are measured at baseline (or the start of the study before any treatment is administered). The data are as follows:

120 112 138 145 135 150 145 163

148 128 143 156 160 142 150

Use Excel functions to compute the sample mean, standard deviation, median and quartiles.

4. The following are baby height measurements, in cm, for a sample of women participating in a study of pregnancy outcomes:

28 30 41 48 29 48 62 49 51 39

Use the Data Analysis Tool to compute summary statistics.

1. Use Excel to create a worksheet, called Data, with the following data. The data were presented in Table 4.3 and were measured in a subsample of n=10 participants who attended the seventh examination of the Framingham Offspring Study. Place the variable names in the first row of the worksheet. (Try the copy and paste icons on the menu bar to enter the data.)

Participant

ID Systolic Diastolic Total Serum Cholesterol

Blood Pressure Blood Pressure

Weight Height

1 141 76 199 138 63.00

2 119 64 150 183 69.75

3 122 62 227 153 65.75

4 127 81 227 178 70.00

5 125 70 163 161 70.50

6 123 72 210 206 70.00

7 105 81 205 235 72.00

8 113 63 275 151 60.75

9 106 67 208 213 69.00

10 131 77 159 142 61.00

2. Compute two new variables for each participant, body mass index (BMI) and mean arterial pressure (MAP). The formulas for the variables are shown below.

BMI = and

MAP ={(2*Diastolic Blood Pressure) + Systolic Blood Pressure}/3.

3. Compute the sample size for the MAP data using the COUNT function and store the result in the Data worksheet.

4. Compute the mean MAP by programming the formula for the mean (i.e., ) and store the result in the Data worksheet.

5. Compute the standard deviation of the MAP values by programming the formula for the standard deviation (i.e., ) and store the result in the Data worksheet.

1. The following data were measured in n=15 college seniors in a cross-sectional study of alcohol consumption. Each participant was asked their sex, year in school, the age at which they first consumed alcohol and the number of alcoholic drinks they consume on a typical drinking night. The data are shown below.

ID Number Sex Year in School Age at First Drink* Number of Drinks/Nig ht

1 M Freshman 14 5

2 M Senior 11 8

3 F Junior 17 3

4 M Junior 13 9

5 F Freshman 0

6 F Sophomore 15 4

7 F Freshman 15 0

8 F Freshman 0

9 M Senior 15 7

10 F Junior 21 5

11 M Junior 18 3

12 M Senior 14 6

13 F Junior 19 3

14 F Sophomore 18 2

15 M Junior 20 4

*Students who never had a drink were excluded.

Generate frequency distribution tables for sex and year in school using the Data –

Pivot Table and Pivot Chart Report option on the menu bar.

2. Generate a frequency bar chart for sex using the Pivot Table and Pivot Chart Report from problem #1.

3. Generate a frequency histogram for year in school using the Pivot Table and Pivot Chart Report from problem #1.

4. Create a frequency distribution table for drinking status, defined by the following numbers of drinks per night:

Abstinent 0

Light 1-3

Moderate 4-5

Heavy 6 or more drinks per night

5. Generate a frequency histogram for drinking status using the Chart Wizard.

6. Generate a scatter diagram to display the association between age at first drink and number of drinks per night. (Note that the sample size for analysis is n=13.)

4.3 Practice Problems

1. A study is conducted to estimate the mean total cholesterol level in children 2-6 years of age. A sample of 9 participants is selected and their total cholesterol levels are measured as follows.

185 225 240 196 175 180 194 147 223

a. Use the Data Analysis Tool to compute the sample mean, standard deviation and median.

b. Use the QUARTILE function to compute the first and third quartiles.

2. The following data were collected as part of a study of coffee consumption among graduate students. The following reflect cups per day consumed:

3 4 6 8 2 1 0 2

a. Use the Data Analysis Tool to compute the sample mean, standard deviation and median.

b. Use the QUARTILE function to compute the first and third quartiles.

3. In the study of a new anti-hypertensive medication, systolic blood pressures are measured at baseline (or the start of the study before any treatment is administered). The data are as follows:

120 112 138 145 135 150 145 163

148 128 143 156 160 142 150

Use Excel functions to compute the sample mean, standard deviation, median and quartiles.

4. The following are baby height measurements, in cm, for a sample of women participating in a study of pregnancy outcomes:

28 30 41 48 29 48 62 49 51 39

Use the Data Analysis Tool to compute summary statistics.

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