Homework 1 (7 pages) Name: _________,_________ (Print) last first 1. Your heart beat per minute: ________ 2. Your commute distance from your home to campus. Give your answer to nearest tenth of a mile.______ 3. Your head circumference, as you would to buy a perfect fitting hat. Give your answer to nearest tenth of centimeter. You may have to get creative, if you don’t have a tape measure. ______ 4. A drug manufacturer is interested in the proportion of persons who have hypertension (elevated blood pressure) whose condition can be controlled by a new drug the company has developed. A study involving 5000 individuals with hypertension is conducted and it is found that 8 percent of the individuals are able to control their hypertension with the drug. Assuming that the 5000 individuals are representative of the group who have hypertension, answer the following questions: a. What is the population? b. What is the sample? c. Identify the parameter of interest. d. Identify the statistic and give its value. e. Do we know the value of the parameter? 5. Identify each of the following as examples of attributive, discrete, or continuous variables. a. you are polling registered voters as to which candidate they support b. length of time required for a wound to heal when using a new medicine. c. the number of telephone calls arriving at a switchboard per 10-minute period. d. the distance first-year college women can kick a football. e. the number of pages per job coming off a computer printer. f. the kind of tree used as a Christmas tree. g. the breaking strength of a given type of string. h. the hair color of children auditioning for the musical Annie. i. the number of stop signs in towns of less than 500 people. j. whether or not a faucet is defective. k. the number of questions answered correctly on a standardized test. 6. Management Efficiency Consultants are called upon to help companies become more efficient in their operations. One of the first studies they conduct is to determine the amount of time executives spend in meetings. For one company the data for 25 executives were as follows (in hours per week): 12 9 6 7 15 18 26 13 21 10 5 7 24 12 2 17 3 8 9 10 11 10 6 25 19 1 a. Make a stem-and-leaf diagram. b. Find the mean, median, mode, midrange, range, and the five-number-summary. Graph the box-plot. 3. Graph a five-class histogram for the following data. Label and scale the axes, and describe the shape of distribution. Complete the table at the right. Data: 43.3 54.4 48.7 57.0 58.9 54.9 36.8 59.9 45.9 43.2 73.1 37.0 56.4 59.9 70.7 43.8 50.9 57.6 38.1 47.1 74.4 39.8 68.9 40.1 53.6 50.2 69.7 65.2 66.3 66.6 Class Frequency 2 6. Bob earned 116 on his accounting midterm and 82 on his biology midterm exams. For the accounting midterm, the mean score was 102 with standard deviation 14. For the biology midterm, the mean score was 70 with standard deviation 5. (a) Convert each midterm score to a standard score (z). (b) Which score was the higher with respect to the rest of the class? Explain your answer. 8. For each of the following 4 data sets: a. Hypothesis how the standard deviation changes going from left to right. __________________________________________________________________________ b. For each data set, find the standard deviation from definition. c. Does your calculation in part b confirm your hypothesis in part a? __________________ 3 9. For each of the following pair of sample data, determine the correct relationship for the sample mean and the sample standard deviation. 4 11. Consider the list of variables and graphs. Match and briefly explain your reasoning for your choice. a. Scores on a fairly easy examination is statistics; b. Heights of group of college students; c. Number of medals won by countries in the 2006 Winter Olympics; d. SAT scores for a group of college students. 1. 2. 3. 4. 5 12. A study of car accidents and drivers who use cellular phones produced the following data: Had Had no Row accident in accident in the Total the last year last year Cellular phone user 405 45 Not a cellular phone user Column Total 280 20 Find the following probabilities: a. P(person is a cellular phone user). Make sure to include both a fraction as well as decimal value for the probability questions… b. P(person had no accident in the last year). c. P(person had no accident in the last year and was a cellular phone user). d. P(person is a cellular phone user or person had no accident in the last year). e. P(person had accident given cellular phone user). f. Are the events in part e independent? Explain. 6 3. An urn has 3 red marbles and 8 blue marbles in it. Draw two marbles, one at a time, without replacement from the urn. a. Construct a tree diagram with the listing of all the outcomes and all of the corresponding probabilities. Compute the following probabilities: b. P( RR) c. P( RB or BR ) d. P( R on 2nd | B on 1st ) e. P( R on 1st and B on 2nd ) f. Are the events in c independent? Explain. 4. A box contains ten ballpoint pens, eight of which write properly and two of which do not write. You are going to select two of these pens. Construct a tree diagram with the listing of all the outcomes and all of the corresponding probabilities. a. What is the probability of one defective pen? b. What is the probability of at least one defective pen? c. What is the probability of no defective pen? 7
Purchase answer to see full attachment