Classify the Variables - Scale of Measurement - Medical Science Assignment Help

Assignment Task:

Task:

1. * Classify the following variables by the following types: (i) scale of measurement, (ii) quantitative or qualitative, (iii) if qualitative, nominal or ordinal, and (iv) if quantitative, discrete, or continuous:

1. blood type of children
2. age of individuals in a study
3. duration of stay in emergency care
4. level of education
5. years of schooling
6. survival status of patient suffered from heart disease
7. patient’s level of satisfaction with service provided in a hospital
8. current marital status
9. pregnancy resulting in live birth or not,

2. * Consider a study of 300 males aged 18 years or higher conducted in a city called D. The study indicates that there are 10% smokers. Answer the following questions:

1. What is the sample?
2. What is the population?
3. What is the variable of interest?
4. What is the scale of measurement used for the variable?

3. Heights (in cm) of 24 women in a study are shown below: 148.1, 158.1, 158.1, 151.4, 152.9, 159.1, 151.0, 158.2, 148.2, 147.3, 145.6, 155.1, 155.2, 149.7, 147.0, 152.2, 149.1, 145.2, 145.9, 149.7, 149.3, 152.3, 146.9, 148.2. Construct a frequency distribution table and show the following:

1. Class interval
2. True class interval
3. Frequency distribution
4. Relative frequency distribution
5. Cumulative frequency distribution
6. Relative cumulative frequency distribution
7. Construct a stem-and-leaf plot
8. Comment on the main features of the data

6. Coughlin et al. examined the breast and cervical screening practices of Hispanic and non- Hispanic women in counties that approximate the U.S. southern border region. The study used data from the Behavioral Risk Factor Surveillance System surveys of adults age 18 years or older conducted in 1999 and 2000. The table below reports the number of observations of Hispanic and non-Hispanic women who had received a mammogram in the past 2 years cross-classified with marital status.

1. We select at random a subject who had a mammogram. What is the probability that she is divorced or separated?
2. We select at random a subject who had a mammogram and learn that she is Hispanic. With that information, what is the probability that she is married?
3. We select at random a subject who had a mammogram. What is the probability that she is non-Hispanic and divorced or separated?
4. We select at random a subject who had a mammogram. What is the probability that she is Hispanic or she is widowed?
5. We select at random a subject who had a mammogram. What is the probability that she is not married?

7. In a survey of nursing students pursuing a master’s degree, 75 percent stated that they expect to be promoted to a higher position within one month after receiving the degree. If this percentage holds for the entire population, find, for a sample of 15, the probability that the number expecting a promotion within a month after receiving their degree is:

1. Six
2. At least seven
3. No more than five
4. Between six and nine, inclusive

8. Based on data collected by the National Center for Health Statistics and made available to the public in the Sample Adult database, an estimate of the percentage of adults who have at some point in their life been told they have hypertension is 23.53 percent. If we select a simple random sample of 20 adults and assume that the probability that each has been told that he or she has hypertension is 0.24, find the probability that the number of people in the sample who have been told that they have hypertension will be:

1. Exactly three
2. Three or more
3. Fewer than three
4. Between three and seven, inclusive

9. Tubert-Bitter et al. found that the number of serious gastrointestinal reactions reported to the Committee on Safety of Medicine was 538 for 9,160,000 prescriptions of the anti-inflammatory drug piroxicam. This corresponds to a rate of 0.058 gastrointestinal reactions per 1000 prescriptions written. Using a Poisson model for probability, with λ=0.06, find the probability of

1. Exactly one gastrointestinal reaction in 1000 prescriptions
2. Exactly two gastrointestinal reactions in 1000 prescriptions
3. No gastrointestinal reactions in 1000 prescriptions
4. At least one gastrointestinal reaction in 1000 prescriptions

10. Given the standard normal distribution find:

1. The area under the curve between z = 0 and z = 1:43
2. The probability that a z picked at random will have a value between z =-2.87 and z = 2.64
3. P(-1:96 ≤z ≤1.96)
4. P(z ≥ -0.55)

11. *Given the following probabilities, find z1:

P (z1 ≤z ≤ z2) =0.8132

P (-2.67 ≤z ≤ z1) =0.9718

12. For another subject (a 29-year-old male) in the study by Diskin et al., acetone levels were normally distributed with a mean of 870 and a standard deviation of 211 ppb. Find the probability that on a given day the subject’s acetone level is:

1. Between 600 and 1000 ppb
2. Over 900 ppb
3. Under 500 ppb
4. Between 900 and 1100 ppb

13. One of the variables collected in the Birth Registry data is pounds gained during pregnancy. According to data from the entire registry for 2001, the number of pounds gained during pregnancy was approximately normally distributed with a mean of 30.23 pounds and a standard deviation of 13.84 pounds. Calculate the probability that a randomly selected mother in North Carolina in 2001 gained:

1. Less than 15 pounds during pregnancy
2. More than 40 pounds
3. Between 14 and 40 pounds
4. Less than 10 pounds
5. Between 10 and 20 pounds

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