MAT 114 Graded Worksheet A1 Name: _______Jacob Dziubek______________ This needs to be completed and emailed to burelle@hartford.edu by the due date announced in CourseCompass. 1.At a certain university there are 6345 students. a.If 11% are computer science majors, how many students are computer science majors?(Round to the nearest student.) 697 students b.There are 975 graduate students. What proportion of the student body are graduate students? (Write the answer as a decimal fraction rounded to 4 decimal places similar to 0.4126.) .1536 c.The proportion of sociology majors at the university is 0.032 as a decimal fraction. Write this proportion as a percent. 3.2% d.There are 99 math majors.What percent are not math majors?(Write the answer as a percentage rounded to the nearest hundredth of a percent similar to 14.18%.) 98.43% 2.In 1992, the death rate for heart disease was 144.3 per 100,000 people.In the early 1990s, there were approximately 260 million Americans.Approximately how many Americans died of heart disease in 1992? 375,180 3.Using the data shown on page 2 of Lesson 1, answer these questions. a.What percent of that class was female? 50% b.If a person was selected at random from the class, what is the probability they would be a Democrat? .4 Homework worksheet #1page 2 Worksheet A2 Here are the highway gas mileages, as reported by the EPA, for 21 brands of sports car. 2428312527272125231623 26132823193026222730 1.Make a dot-plot of the data on the scale given here.

|----|----|----|----|----|----|----|----| 0510 15 20 25 30 35 40 2.Make a stem-and-leaf plot for the same data. 1 3,6,9 2 1,2,3,3,3,4,5,5,6,6,7,7,7,8,8 3 0,0,1 3.Make a box-plot of the same data on the scale given here. Homework worksheet #1page 3 Worksheet A3 d_____ 1.A researcher wants to know if Pennsylvania adults favor a higher sales tax if it would mean lower property taxes.She asks the question to 1050 randomly chosen Pennsylvania adults, and 4% of them say yes.The number 4% is a a.parameter b.samplec.population d.statistic b_____ 2.In problem 1, the 1050 persons who answered the question is thea.parameter b.samplec.population d.statistic _b____ 3.Refer to problem 1.Another researcher takes a separate random sample of 1050 Pennsylvania adults.Which of the following best describes the populations for the two studies? a.They are the same, because the sample sizes are both 1050.b.They are the same, because each random sample is randomly chosen from the entire state. c.They are not the same, because the researchers didnt sample exactly the same 1050 people. d.They are not the same, because different researchers know different people. a_____4.Refer to exercise 3.When the second researcher reports his proportion, which of the following is true: a. The proportion will again be 4%, because the samples come from the same population. b.The proportion will be 4%, because the sample sizes are the same. c. The proportion may not be 4%, because two samples may vary just by chance. d.The proportion may not be4%, because they come from two different populations. 5.A sample was taken of the salaries of 18 employees of a small company.The following are the salaries (in thousands of dollars), in order from lowest to highest: 303134353741424242 465454606167727581 Using StatCrunch, do the following:(Directions for doing these parts are on pages 10-13 of Lesson 2.) a.Have StatCrunch calculate the mean, the standard deviation, the median, and Q1.Copy the StatCrunch table here: Summary statistics:ColumnMeanStd. dev.MedianQ1 Salaries50.22222215.9246594437 b.Use StatCrunch to make a histogram of the data.Copy the StatCrunch histogram here: Homework worksheet #1page 4 c.Describe the shape of the histogram:skewed right, symmetric or skewed left? The histogram is skewed to the right. Worksheet A4 1.A group of male college students are hound to have a mean of 69.5 with a standard deviation of 2.4. a.Jack is 73 tall.Find his z score. Z=1.45 b.Is Jack considered to be an outlier? Homework worksheet #1page 5 No c.Suppose that another student, Carl, has a z-score of-1.5.Find his height. 65.9 d. Peters z-score is -2.5.Is Peter considered an outlier? No, his weight is 63.5, if it was any less than 62.3 than he would be and outlier e.Use the Empirical Rule to answer the following.Approximately what percent are in each indicated height range: i._95.44___ % between 64.7 and 74.3 inches ii._47.72____% between 69.5 and 74.3 inchesiii.__50___ % less than 69.5 inches f.Anyone shorter than 64.7 inches is in the shortest __2.27___ %. g.How tall does a person need to be to be in the top 2.5% of heights? 72.4 h.What is the probability that a randomly chosen male college student is tall than 67.1 inches? .8413