# STATS 167 Week 2 – Individual Assignment – Organizing, Summarizing, Probability, and Distribution Worksheet – A+!

STATS 167 Week 2 – Individual Assignment – Organizing, Summarizing, Probability, and Distribution Worksheet – A+!

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STATS 167 STAT/167

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Data—Organizing, Summarizing, Probability, and Distribution Worksheet

Answer the following questions. For questions requiring material from Statdisk, make sure to turn labels on, take a screen capture (CTRL-Print Screen on most Windows-based computers), and paste the image into the worksheet. Crop the image as appropriate.

1.     Look at the following presentation of data:

Is this a histogram, a frequency distribution, a box-plot, or a scatterplot? Describe the method of presenting data that you identify. For each component of the data presentation method you describe, identify the corresponding section in this example (0.5 point).

2.     Look at the following presentation of data:

Is this a histogram, a frequency distribution, a box-plot, or a scatterplot? Describe the method of presenting data that you identify. For each component of the data presentation method you describe, identify the corresponding section in this example (0.5 point).

3.     Look at the following presentation of data:

Is this a histogram, a frequency distribution, a box-plot, or a scatterplot? Describe the method of presenting data that you identify. For each component of the data presentation method you describe, identify the corresponding section in this example (0.5 point).

4.     Using Statdisk, create a histogram showing the information in the frequency distribution of Table 2-2 in Ch. 2 of the text.
Note. This data is included in the data set labeled Passive and Active Smoke. Copy the histogram into this worksheet (1 point).

Use the following sample data to answer questions 5 through 11. A study of physical fitness tests for 12 randomly selected premedical students measured their exercise capacity (in minutes). The following data resulted:

34 19 33 30 43 36

32 41 31 31 37 18

5.     Calculate the mean of the students’ exercise capacity and explain the concept of mean (0.5 point).

6.     Calculate the median of the students’ exercise capacity and explain the concept of median (0.5 point).

7.     Calculate the mode of the students’ exercise capacity and explain the concept of mode (0.5 point).

8.     Calculate the standard deviation of the students’ exercise capacity (0.5 point).

9.     Calculate the variance of the students’ exercise capacity (0.5 point).

10.  If premedical student Alisha has the exercise capacity of 41 minutes, convert her score to a z score among the distribution of exercise capacity above. Explain what this z score means (1 point).

The sample mean is 32.08333 and the sample standard deviation is 7.50101.

11.  Alisha’s grandmother has an exercise capacity of 21 minutes, as measured in a similar study among Americans over seventy years old. The study sample has a mean of 16.8 minutes and a standard deviation of 3.9 minutes. Convert Alisha’s grandmother’s score to a z score among the distribution of exercise capacity in Americans over seventy years old. Who has a relatively longer exercise capacity compared to her peers—Alisha or her grandmother (1 point)?

12.  A friend suggests to you that each of the four teams in the semifinals has an equal chance of winning the championship. Express this likelihood for each team of winning the championship as a probability value. Explain the concept of probability (1 point).

13.  In a study of 420,095 cell phone users in Denmark, it was found that 135 developed cancer of the brain or nervous system. Estimate the probability that a randomly selected cell phone user will develop such a cancer. Is the result very different from the probability of 0.000340 that was found for the general population? What does the result suggest about cell phones as a cause of such cancers, as has been claimed (1 point)?

Use the following table for questions 14 and 15.

 Butterflies Red Blue Orange Yellow Collected in spring 14 27 9 4 Collected in summer 14 7 8 43 Collected in autumn 40 2 10 7

14.  If you randomly select one butterfly from the table above, what is the probability of selecting a red butterfly or one collected in spring? Explain the addition rule (1 point).

15.  If you randomly select one butterfly collected in spring, one butterfly collected in summer, and one butterfly collected in autumn, what is the probability of selecting all yellow butterflies? Explain the multiplication rule (1 point).

16.  In a survey of 1,012 people, researchers record whether there is a “should not” response to this question: “Do you think the cloning of humans should or should not be allowed?” Does this procedure result in a binomial distribution? Explain why or why not (1 point).

17.  In a study, 728 artificial hips are examined to determine whether they are acceptable, show excessive wear, or have manufacturing defects. Does this procedure result in a binomial distribution? Explain why or why not (1 point).

18.  Choose the procedure that will allow dental patients to be researched using a binomial distribution (0.5 point):

A)    Surveying dental patients and asking them how their visit could have been made more enjoyable

B)    Asking dental patients as they enter the office how often they floss

C)    Surveying a set number of dental patients and asking them if they have dental insurance

D)    Asking patients as they enter the office whether they flossed before the appointment

E)    Surveying dental patients and asking them how their teeth feel after their appointment

19.  Select the procedure that results in a Poisson distribution and explain (1 point).

A)    Researching the Northern Spotted Owls’ number of feedings per month

B)    Researching the Barred Owls’ wingspan in inches

C)    Researching the Snowy Owls’ preferred nesting locations

D)    Researching the Sooty Owls’ longevity

20.  Choose the procedure that will allow fire ants to be researched using a Poisson distribution (0.5 point).

A)    Counting fire ants per square centimeter of a mound

B)    Counting fire ant mounds per square kilometer throughout North America

C)    Surveying 2,080 North Americans to determine how many fire ant bites they have suffered in the past year

D)    Surveying 2,080 North Americans to determine how they feel about fire ants

E)    Recording the locations of fire ant mounds each year in one county over the span of 40 years

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