5 Applied Math JO myBlueprint * Yahoo Search . Web Search X Yahoo Search - W 989650-ebel2022math202sluausnick4/Assignments7620Summer$6202022/Review9620Assignment.62062333620-9620Logic%620and 14 1 100% + H O 25 I. The number of text messages sent per day by students in a study group are shown below: 32 10 43 60 27 21 42 49 119 State the following, to the nearest text message (i.e. round to the nearest whole number). [2] Range = Median 2. Explain whether or not the data in this set normally distributed. [1] Interval 1 5 6 10 10-15 16 20 21-25 26 30 Frequency 2 12 16 16 15 10 3. Three normal disinbution curves are shown below. [1] The true statement about there curves is A. the mean of C is greater than to the mean of B. B. the mean of A is less than the mean of A C. the standard deviation of H is less than the standard deviation of C. D. the standard deviation of C is less than the standard deviation of B. O L4. The average on a particular post-secondary test was deemed too low, so the professor decided to raise each student's mark by 7% . Explain how raising the grades would effect, or not effect the mean and the standard deviation for the class. [1] Calgary Board of Education CBe-Learn 5. Jimbo is 143 cm tall, which corresponds to a =-score of -0.21 when compared to the heights of the students in his class, which are normally distributed with a standard deviation of 6.3 cm. Determine the average height of the students in Jimbo's class, to the nearest cm. [2]w/ Yahoo Search - Web Search x / Yahoo Search - Web Scard 3 Applied Math 30 m myBlueprint chel2027smath202s/krausnick4/Assignments$20Summer.6202022/Review%620Assignment9620962339620-9620Logkc5620and9620stat 2 14 1 100% + 1 For each of the questions below: Sketch a normal curve with an appropriately shaded area Use this graph of the normal distribution to determine the probabilities The ages of members in a liking club are normally distributed, with a mean of 29 years and a standard deviation of 7 years. 6. What percent of the members are between 22 and 29? 121 7. What percent of the members are younger than 227 121 8. What percent of the members are older than 437 121 O L5 Applied Math 30 * [ myBlueprint * w Yihoo Search - Web Search * / Yahoo Search - Web Se 50-che:42022cath202skrausnick4/Assignments2620summer962020122/Review2620Assignment9620162339620-9620Logic9620and9620 3/4 1 100% + Calgary Board el Education CBe-Learn 9. Lisa ordered packages of My Little Pony Socks from two online companies. The mean of the masses of the packages from company A is 72 g with a standard deviation of 3.4 g . The mean of the masses of the packages from company B is 68.5 g with a standard deviation of 1.8 g. Explain which company's packages have a more consistent mass. [1] 10. In a pre-clection survey of 1000 people in Calgary, 18% of those surveyed said they were undecided about whom to vote for in the mayoral election. The survey is considered accurate to within 4.3 percent points, 99 times out of 100. a) Determine the confidence level by If there are 650 000 eligible voters in Calgary, state the range of the number of people who are undecided. 121 O L imM X Applied Math 30 * m myBlueprint X w/ Yahoo Search - Web Search x w Yahoo Search - We 89650-chel2022smath202s/krausnick4/Assignments620Summer$6202022/Review-20Assignment%2096233620-9620Logic9620and9 3/4 1 100% + 1 1. The results of a survey have a confidence interval of 77.2% to 91.6%, 99 times out of 100. Determine the margin of error. [1] Calgary Board 1 of Education CBe-Learn 12. Which of the following choices uses inductive reasoning to show that the sum of any two odd integers is even? [1] A. 2r + 2y + 1 = 2(x+y) +1 B. (2r + 1) + (27+1)=2(x+y+1) C. 3 +5 - 8 and 7 +5 = 12 D. 3 + 8 = 11 and 7 + 12 - 19M X (3 Applied Myth 30 * m myBlueprint w Whoo Search - Web Search * / Yahoo Search - Web 189650-ebel2022smath202sJesusnickA/Assignments$620Summer96202022/Review9620Assignment3620962339620-9620Logic7620and62 414 1 100% + 13. Which of the following choices uses deductive reasoning to show that the sum of any two odd integers is even? [1] A. (2r + 2) + (2y+ 2)=2(x + y +2) B. 3 + 5 -8 and 7 + 5=12 C. 2x + 2y+1 -2(:+3)+1 D. (2x + 1) +(2x +3)-2(2% + 2) 14. Rachelle made the following conjecture: "When you add a multiple of 6 and a multiple of 9, the sum will be a multiple of 3." Explain whether the following equation is a counterexample to this conjecture or verifies the conjecture. 18+27 - 45 [1] 15. Alison discovered a number trick in a book she was reading. the steps are shown in the table below. (2] Prove deductively that you always end up with the number you start with. Statement Proof Choose a number. Add 1 Multiply by 2. Add 4 Divide by 2 Subtract 5 16. Use deductive reasoning to prove that the product of an even number and an odd number will always be an even number. 121 O L m