WEEK 1 & 2 PROGRESS CHECK: 1. Name and define the two areas of statistics. How do they differ? How are they applied or used? The two main branch of Statistics are the Descriptive - the branch of statistics devoted to the collection, organization, summarization and presentation of data Inferential - the branch of statistics concerned with generalizing from samples to populations, to make an inference about population based on information obtained from a sample of the population 2. Give five (5) specific examples of statistics being be used in everyday life. Medical Study Weather Forecasts Quality Testing Stock Market Consumer Goods 3. Explain the differences between a sample and a population. Give examples. A population consists of all subjects (human or otherwise) that are being studied. While sample is a group of subjects selected from a population. 4. In each of these statements, tell whether descriptive or inferential statistics have been used. Write D if descriptive and I if inferential. I In the year 2020, the population of Filipinos will be 110 million. D Nine out of ten on-the-job fatalities are men. D Expenditures for the cable industry were $5.66 billion in 1996. I Drinking decaffeinated coffee can raise cholesterol levels by 7%. I Allergy therapy makes bees go away. 5. Classify each as nominal-level, ordinal-level, interval-level, or ratio-level measurement. Write only N if nominal, O if ordinal, I if interval and R if ratio. O Rankings of tennis players R Weights of air conditioners I Temperatures inside 10 refrigerators R Salaries of the top five CEOs in the United States O Ratings of eight local plays (poor, fair, good, excellent) 1512;01192022 ~ 1928;01192022 6. Classify each variable and write ONLY 1 for qualitative or 2 for quantitative. 2 Number of bicycles sold in 1 year by a large sporting goods store 1 Colors of baseball caps in a store 2 Times it takes to cut a lawn 2 Capacity in cubic feet of six truck beds 1 Classification of children in a day care center (infant, toddler, preschool) 7. Classify each variable as discrete or continuous. Write only D if discrete and C if continuous. D Number of doughnuts sold each day by Doughnut Heaven C Water temperatures of six swimming pools in Pittsburgh on a given day C Weights of cats in a pet shelter C Lifetime (in hours) of 12 flashlight batteries D Number of cheeseburgers sold each day by a hamburger stand on a college campus 8. Name the four basic sampling methods and give one (1) example each. Random – “Nursing supervisors are selected using random number in order to determine annual salaries.” Systematic – “Every seventh customer entering a shopping mall is asked to select his or her favorite store.” Stratified – “A large city's mail carriers are divided into four groups based on gender (male or female) and whether they walk or ride their routes. Then, 10 people from each group are chosen and interviewed to see if they were bitten by a dog in the previous year.” Cluster – “In a large school district, all teachers from two buildings are interviewed to determine whether they believe the students have less homework to do now than in previous years.” 9. In the study below made for butter and margarine, how would you conduct the study to arrive at a convincing conclusion. No matter what type of study is conducted, two studies on the same subject sometimes have conflicting conclusions. Why might this occur? An article entitled “Bottom Line: Is It Good for You?” (USA TODAY Weekend) states that in the 1960s studies suggested that margarine was better for the heart than butter since margarine contains less saturated fat and users had lower cholesterol levels. In a 1980 study, researchers 1512;01192022 ~ 1928;01192022 found that butter was better than margarine since margarine contained trans-fatty acids, which are worse for the heart than butter’s saturated fat. Then in a 1998 study, researchers found that margarine was better for a person’s health. Now, what is to be believed? Should one use butter or margarine? I will review the studies performed on both of the products and get right to it. What's important is the type of margarine used, not the choice of butter or margarine. Transfatty acids were discovered in solid margarine in the 1980s, and scientists believe they are worse for the heart than saturated fat in butter. Liquid margarine was used in the 1998 study. It contains very few trans-fatty acids, making it healthier than butter, because trans-fatty acids have been shown to raise cholesterol. As a result, instead of solid margarine or butter, use liquid margarine. 1512;01192022 ~ 1928;01192022 WEEK 3 & 4 PROGRESS CHECK (Copy and Answer): 1. The table below represents the number of incidences of various types of crimes for the town of Thompson. Construct a histogram to represent the data. Year Number of Crime 1999 1109 2000 1200 2001 1287 2002 1350 2003 1443 2. The following data was collected about which introductory courses first year university students take. Draw a bar graph to represent the data. Course Number of Students Chemistry 155 Physics 120 Math 200 Psychology 300 Number of Students Economics Psychology Math Physics Chemistry 0 50 100 1512;01192022 ~ 1928;01192022 150 200 250 300 Economics 250 3. Town councils in two towns conducted a survey to determine how people feel about the different options for protecting the bears that live in the area but still keep the communities safe. The results are shown below; create a bar graph to represent this data. Bear Smart Program Suggestions Votes: Town 1 Use safe electric fences around the landfill 1020 Remove brush in town 294 Use bear-proof garbage bins 701 Move problem bears to the wild 773 Put out garbage on pickup day only 948 Lock commercial garbage bins 60 Votes: Town 2 711 47 710 479 518 76 Chart Title Lock commercial garbage bins Put out garbage on pickup day only Move problem bears to the wild Use bear-proof garbage bins Remove brush in town Use safe electric fences around the landfill 0 Bear Smart Program Votes: Town 2 200 400 600 800 1000 1200 Bear Smart Program Votes: Town 1 4. Complete the chart and then create a pie graph that represents the data. Pet Number Percentage Without Pets 420 42% Angle/degrees in the Circle/Pie 151.2° Dog 240 24% 86.4° Cat 200 20% 72° Bird 50 5% 18° Other 90 9% 32.4° Total 1000 100% 360° 1512;01192022 ~ 1928;01192022 PET Bird 5% Other 9% Without Pets 42% Cat 20% Without Pets Dog Cat Bird Dog 24% Other PET 18° 5% 32.4° 9% 151.2° 42% 72° 20% 72° 18° 86.4° 24% 1512;01192022 ~ 1928;01192022 32.4°