A survey of a group's viewing habits over the last year revealed the following information (i) 28% watched gymnastics (ii) 29% watched baseball 19% watched soccer (iii) (iv) 14% watched gymnastics and baseball (v) 12% watched baseball and soccer (vi) 10% watched gymnastics and soccer (vii) 8% watched all three sports. Represent the statement "the group that watched exactly one of the three sports during the last year" using operations on sets. (Do not compute the percentage of all of the group's viewing habits for this statement.)
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- A group of 499 students were surveyed about the courses they were taking at their college with the following results:228 students said they were taking Math.213 students said they were taking English.237 students said they were taking History.61 students said they were taking Math and English.84 students said they were taking Math and History.74 students said they were taking English and History.17 students said they were taking all three courses.How many students took Math, English, or History ?The State Education Department requires local school districts to keep these records on all students: age, race or ethnicity, days absent, current grade level, standardized test scores in reading and mathematics, and any disabilities or special educational needs the student may have. Which of the following are categorical (or qualitative) variables in these records? Days Absent Age Race or Ethnicity Disabilities or Special Needs O Reading Test Score Current Grade Level (A/B/C/D/F) Mathematics Test ScoreThe following test scores are for two classes that took the same test. (The highest possible score on the test was 60.) Class 1 (24 scores): 37, 45, 52, 55, 11, 55, 44, 55, 35, 25, 52, 42, 35, 21, 42, 52, 41, 40, 34, 51, 41, 41, 41, 41 Class 2 (25 scores): 50, 40, 40, 23, 40, 50, 31, 31, 40, 31, 31, 31, 53, 33, 33, 35, 55, 24, 39, 40, 41, 59, 41, 39, 46 Form a back-to-back stem and leaf plot with one stem. Put the leaves for one class on the right side of the stem and the leaves for the other class on the left side. Record the leaves in increasing order from the stem. Leaf (Class 1) Stem Leaf (Class 2) 4 3 1
- The World Bank collects information on the life expectancy of a person in each country ("Life expectancy at," 2013) and the fertility rate per woman in the country ("Fertility rate," 2013). The data for 12 randomly selected countries for the year 2011 are shown in the table below. Table: Data of Fertility Rates versus Life Expectancy Fertility Rate Life Expectancy 1.7 77 5.8 55 2.2 70 2.1 76 1.8 75 2.0 78 2.6 73 1.5 81 6.9 54 2.9 72 4.7 63 6.8 57 The most commonly used type of correlation is Pearson correlation, named after Karl Pearson, introduced around the turn of the 20th century. Pearson's r measures the linear relationship between two variables, say X and Y. Find the Pearson’s correlation coefficient for the above data In reference to the calculated correlation coefficient above, describe the strength of the correlation. Briefly give an explanation to meaning of the above results. Obtain the…"Bluth's Original Frozen Banana Stand" is a frozen banana stand founded in 1953 by George Bluth. They offer multiple types of chocolate that you can have your frozen banana dipped in, and they also offer multiple different toppings for your frozen banana. One day when stand employee Michael was working, he wondered whether or not there was a relationship between what customers had their bananas dipped in (milk chocolate, white chocolate, or dark chocolate) and their choice of topping (plain, walnuts, or sprinkles). He recorded the choices of each for 90 different customers, and the resulting data can be seen in the table below. Which cell has the highest Chi Square contribution? Chocolate milk milk milk white white white dark dark dark walnuts, milk Osprinkles, white walnuts, dark O plain, dark Topping plain walnuts sprinkles plain walnuts sprinkles plain walnuts sprinkles Freq. 15 4 11 7 13 10 14 10- Attendance and Grades Read the following on attendance and grades, and answer the questions in the discussion board. A study conducted at Manatee Community College revealed that students who attended class 95 to 100% of the time usually received an A in the class. Students who attended class 80 to 90% of the time usually received a B or C in the class. Students who attended class less than 80% of the time usually received a D or an F or eventually withdrew from the class. Based on this information, attendance and grades are related. The more you attend class, the more likely you will receive a higher grade. If you improve your attendance, your grades will probably improve. Many factors affect your grade in a course. One factor that you have considerable control over is attendance. You can increase your opportunities for learning by attending class more often. a. What are the variables under study? b. Are descriptive, inferential, or both types of statistics used? c. What is the…
- 5) The following table shows that the students in Diploma program, Degree program, other program, Student's favorite module English, Student's favorite module Mathematics, Student's favorite module Computer, Student's favorite module Statistics, full time and part time students from your collected data at MEC. Students Student's Student's Student's Full Time Part Time Student's favorite favorite favorite favorite module module module module English Mathematics Computer Statistics Diploma program Degree program Other program A student selected at random, what is the probability that. a. the selected student is from Degree program. b. the selected student is from the Diploma program and full time. c. the selected student is from Student's favorite module Mathematics given that Degree program.A sociologist is interested in studying the relationship between education and crime. She randomly selects 332 people and asks them their education level and whether or not they have ever been convicted of a felony. Is there evidence that education level and crime are dependent? Education Level No Felony Conviction Felony Conviction Total Less than 99 years 95 12 107 99 years - 1212 years 86 11 97 1212 years - 1616 years 59 7 66 16+16+ years 56 6 6262 Total 296 36 332 Copy Data Step 4 of 8 : Find the value of the test statistic. Round your answer to three decimal places.(Using sets) In a study carried out with 260 university students, the following data was obtained: - 64 had taken a math course- 94 had taken a computer science course- 58 had taken a business administration course- 28 had taken a math course and a business administration course- 26 had taken a math course and a computer science course- 22 had taken a computer science course and a business administration course- 14 had taken all three types of courses a. How many students whose records were reviewed had not taken any of the three types of courses?b. Of the students whose records were studied, how many had taken only one computer science course?
- The following test scores are for two classes that took the same test. (The highest possible score on the test was 60.) Class 1 (24 scores): 37, 46, 54, 55, 15, 55, 44, 55, 37, 26, 52, 44, 31, 23, 44, 52, 41, 41, 30, 50, 41, 41, 41, 41 Class 2 (25 scores): 50, 40, 40, 25, 40, 57, 31, 31, 40, 31, 33, 33, 57, 33, 34, 34, 57, 29, 34, 41, 41, 58, 41, 34, 45 Form a back-to-back stem and leaf plot with one stem. Put the leaves for one class on the right side of the stem and the leaves for the other class on the left side. Record the leaves in increasing order from the stem. Leaf (Class 1) Stem Leaf (Class 2) 3 2 1Assume that 135 surveys are completed. Of those surveyed, 61 responded positively to effectiveness, 65 responded positively to side effects, and 63 responded positively to cost. Also, 26 responded positively to both effectiveness and side effects, 29 to effectiveness and cost, 26 to side effects and cost, and 16 to none of the items. How many responded positively to all three?