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Biostatistics Statistics Scientific Calculator Capable Worksheet

Biostatistics Statistics Scientific Calculator Capable Worksheet


Learning Goal: I’m working on a statistics test / quiz prep and need the explanation and answer to help me learnN

  • You will need a scientific calculator capable of performing the basic arithmetic operations, in addition should have at least the following functions: square root, y­­­­­­x, ln, and ex.

21 questions

Time limit : none

Due 8/27

1 attempt

To receive total or partial credit, work out the problems on a separate sheet of paper or you can type them out. After, scan or use a phone app to scan (like Scanner, Genius Scan, etc) your work and submit to Canvas. A link is provided at the end of the test.

Good luck!

the exam will be similar to this exercise below please check and see if you can solve the problems below before you do the exam

  1. Below are the per capita health care expenditures in 1989 for 23 of the 24 nations that make up the Organization for Economic Cooperation and Development. (The per capita expenditure for Turkey was not available.)
    Nation per capita expenditure
    Australia 1032
    Austria 1093
    Belgium 980
    Britain 836
    Canada 1683
    Denmark 912
    Finland 1067
    France 1274
    Germany 1232
    Greece 371
    Iceland 1353
    Ireland 658
    Italy 1050
    Japan 1035
    Luxembourg 1193
    Netherland 1135
    New Zealand 820
    Norway 1234
    Portugal 464
    Spain 644
    Sweden 1361
    Switzerland 1376
    United States 2354
    1. Rank these countries according to per capita healthcare expenditure.
    2. Construct a histogram for the values of per capita expenditure.
    3. Describe the shape of the histogram.
  2. The frequency distribution below displays the numbers of cases of pediatric AIDS reported in the United States between 1983 and 1989.
    Year Number of Cases
    1983 122
    1984 250
    1985 455
    1986 848
    1987 1412
    1988 111
    1989 3098

    Construct a bar chart showing the number of cases by year. What does the graph tell you about pediatric AIDS in this time period?

  3. In an investigation of the risk factors for cardiovascular disease, levels of serum cotinine–a metabolic product of nicotine–were recorded. For a group of smokers and a group of non-smokers. The relative frequency distributions are displayed below.
    Cotinine Level (ng/ml) Smokers Nonsmokers
    0-13 78 3300
    14-49 133 72
    50-99 142 23
    100-149 206 15
    150-199 197 7
    200-249 220 8
    250-299 151 9
    300+ 412 11
    Total 1539 3445
    1. Is it fair to compare the distributions of cotinine levels for smokers and non- smokers based on the absolute frequencies in each interval? Why or why not?
    2. Compare the relative frequencies of serum cotinine level readings for each of the two groups.
  4. A frequency distribution for the serum zinc levels of 462 males between the ages of 15 and 17 is displayed below.
    Serum Zinc Level (ug/dl) Number of Males
    50-59 6
    60-69 35
    70-79 110
    80-89 116
    90-99 91
    100-109 63
    110-119 30
    120-129 5
    130-139 2
    140-149 2
    150-159 2
    1. Compute the relative frequency associated with each interval in the table. What can you conclude about this distribution of serum zinc levels?
    2. Produce a histogram of the data. The observations should be broken down into the 11 intervals of equal width specified in the frequency distribution above, from 50-59 to 150-159 ,ug/dl.
    3. Describe the shape of the histogram.
  5. The percentages of low birth weight infants in various countries around the world are contained in the data set unicef. The measurements themselves are saved under the variable name lowbwt. A numerical summary is given in the table below.
    Percent of Low Birthweight Infants
    Min Q1 Median Q3 Max
    4 7 10 15 50
    1. Construct a boxplot for the percentages of low birth weight infants.
    2. Do the data appear to be skewed? If so, are they skewed to the right or to the left?
    3. Do the data contain any outlying observations?
  1. In Massachusetts, eight individuals experienced an unexplained episode of vitamin D intoxication that required hospitalization; it was thought that these unusual occurrences might be the result of excessive supplementation of dairy milk. Blood levels of calcium and albumin-a type of protein-for each subject at the time of hospital admission are provided below.
    Calcium (mmol/L) Albumin (g/L)
    2.92 43
    3.84 42
    2.37 42
    2.99 40
    2.67 42
    3.17 38
    3.74 34
    3.44 42
    1. Find the mean, median, standard deviation, and range of the recorded calcium levels.
    2. Compute the mean, median, standard deviation, and range of the given albumin levels.
    3. For healthy individuals, the normal range of calcium values is 2.12 to 2.74 mmol/L, while the range of albumin levels is 32 to 55 g/L. Do you believe that patients suffering from vitamin D intoxication have normal blood levels of calcium and albumin?
  2. A study was conducted comparing female adolescents who suffer from bulimia to healthy females with similar body compositions and levels of physical activity. Listed below are measures of daily caloric intake, recorded in kilocalories per kilogram, for samples of adolescents from each group.
    Daily Caloric Intake (kcal/kg)
    Bulimic Healthy
    15.9 18.9 25.1 20.7 30.6
    16.0 19.6 25.2 22.4 33.2
    16.5 21.5 25.6 23.1 33.7
    17.0 21.6 28.0 23.8 36.6
    17.6 22.9 28.7 24.5 37.1
    18.1 23.6 29.2 25.3 37.4
    18.4 24.1 30.9 25.7 40.8
    18.9 24.5 30.6
    1. Find the median daily caloric intake for both the bulimic adolescents and the healthy ones.
    2. Compute the interquartile range for each group.
    3. Is a typical value of daily caloric intake larger for the individuals suffering from bulimia or for the healthy adolescents? Which group has a greater amount of variability in the measurements?
  3. Displayed below are a pair of frequency distributions containing serum cotinine levels for a group of cigarette smokers and a group of nonsmokers. These measurements were recorded as part of a study investigating various risk factors for cardiovascular disease.
    Cotinine Level (ng/ml) Smokers Nonsmokers
    0-13 78 3300
    14-49 133 72
    50-99 142 23
    100-149 206 15
    150-199 197 7
    200-249 220 8
    250-299 151 9
    300+ 412 11
    Total 1539 3445
    1. Compute the grouped mean and grouped standard deviation of the serum cotinine level measurements for both smokers and nonsmokers. For the last interval- 300+ ng/ml–consider the midpoint of the interval to be 340 ng/ml.
    2. In which interval does the median serum cotinine level fall for smokers? For nonsmokers?
    3. Compare the distributions of serum cotinine levels for smokers and nonsmokers.
  4. Displayed below is a frequency distribution containing a summary of the resting systolic blood pressures for a sample of 35 patients with ischemic heart disease, or suppression of blood flow to the heart.
    Blood Pressure (mmHg) Number of Patients
    115-124 4
    125-134 5
    135-144 5
    145-154 7
    155-164 5
    165-174 4
    175-184 5
    Total 35
    1. Compute the grouped mean and the grouped standard deviation of the data.
    2. The 35 measurements of systolic blood pressure are stored on your disk in a file called ischemic; the values are saved under the variable name sbp. Compute the ungrouped mean and the ungrouped standard deviation of these data.
    3. Are the grouped and the ungrouped numerical summary measures the same? Why or why not?
  5. The data set lowbwt contains information recorded for a sample of 100 low birth weight infants-those weighing less than 1500 grams-born in two teaching hospitals in Boston, Massachusetts. Measurements of systolic blood pressure are saved under the variable name sbp. The dichotomous random variable sex designates the gender of each child, with 1 representing a male and 0 a female.
    1. Construct a pair of box plots for the systolic blood pressure measurements–one for boys and one for girls. Compare the two distributions of values.
    2. Compute the mean and standard deviation of the systolic blood pressure measurements for males and for females. Which group has the larger mean? The larger standard deviation?

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