a) Question 7: In a survey among 140 students, 60 likes to play videogames, 70 likes toplay indoor games, 75 likes to play outdoor games, 30 play indoor and outdoor games,18 like to play video games and outdoor games, 42 play video games and indoor gamesand 8 likes to play all types of games. Use the Venn diagram to find(i) Students who play only outdoor gamesmarks](ii) Students who play video games and indoor games, but not outdoor games.marks]b) Represent the following as Venn diagram:[2[3(i) A'n (BUC)[3 marks](ii) A'n (C - B)[3 marks]c) With the aid of clear examples explain the laws given belowi)Identity[3 marks]ii)Idempotent[3 marks]iii) Complement[3 marks]QUESTION 2[20 MARKS]Given the Block diagram and Truth Table of a Priority Encoder below. Design the LogiccircuitHighest priorityinputD:D.PriorityEncoderLowest priorityInputHighest InputsLowest OutputsD: D.D.Y: Y₁00xx000100001x0101xx101xXxx11Page 4Page 5L

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Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 309 people over the age of 55, 77 dream in black and white, and among 309 people under the age of 25, 18 dream in black and white. Use a U.U5 signiticance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25 Complete parts (a) through (c) below. Consider the first sample to be the sample of people over the age of 55 and the second sample to be the sample of people under the age of 25. What are the null and alternative hypotheses for the hypothesis test? Identify the test statistic. z= (Round to two decimal places as needed.) Identify the P-value. P-value= (Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is ______ the significance level of a = 0.05, so ______ black and white is ____ the proportion for those under 25. There is…
A survey was carried out in 30 households in which they were asked the number of people who habitually live together at home. The answers obtained have been the following: 4, 4, 1, 3, 5, 3, 2, 4, 1, 6, 2, 3, 4, 5, 5, 6, 2, 3, 3, 2, 2, 1, 8, 3, 5, 3, 4, 7, 2, 3a) Build the frequency table.b) Calculate the mean, median, and mode of the data grouped punctually and express in a sentence the meaning of each of these measuresc) Calculate the mean, median, and mode of the data grouped in intervals with an amplitude of 4d) What percentage of children use more than 12 "and then ..."
3. Number of Responses 800 600 JE 400- 200- 0+ Not at all likely Very unlikely Unlikely Neutral A) mode = 3 B) median = 3 C) mean < median D) 2 < mean < 5 Likely Very likely Response Definitely 4. Liam is conducting a market research study to determine the effectiveness of advertisements on social networking sites. He surveyed a randomly selected group of 2,000 young adults on how likely they are to purchase from a company based on its advertisements on social networking sites. Respondents rated their likelihood to purchase on a scale from 1 to 7, with 1 being "Not at all likely" and 7 being "Definitely." The results are summarized in the bar graph above. Which of the following state- ments is NOT true based on the survey results?
In a sample of 15 boxes (each contains 40 bottles) of mineral water, the chemist found out that 2, 3, 4, 2, 6, 3, 5, 4, 4, 3, 6, 2, 1, 0 and 5 bottles respectively are contaminated. Determine the a) median number of bottles b)modal value of bottles
5
18)
2. Written exam grades of students in a class are given below. NOTE: 55; 60; 65; 75; 90; 95; 90; 80; 75; 75; 70; 65; 60; 50; 45; 40; 70; 65; 70; 70; 60; 70; 80; 75; 70; 90; 55; 45; 75; 90; 60a) Draw the histogram according to the ungrouped notesb) Draw the histogram according to the grouped notes
The number of cookies found in 10 different snack bags are shown below: 14, 12, 14, 13, 14, 14, 14, 15, 14, 12 Which center should be used to best represent the data? O a) The range of the number of cookies is 3. O b) The mean number of cookies is 13.6. Od The median number of cookies is 14. O d) The mode of the number of cookies is 14.
As part of a statistics project, a teacher brings a bag of marbles containing 700 white marbles and 300 red marbles. She asks her students to determine how many red marbles are in the bag without counting them.A student randomly draws 100 marbles from the bag. Of the 100 marbles, 28 are red.A)The target population consists of The 300 red marbles in the bag The 28 red marbles drawn by the student The 1000 marbles in the bag The 100 marbles drawn by the student None of the above B) The sample consists of The 100 marbles drawn by the student The 28 red marbles drawn by the student The 300 red marbles in the bag The 1000 marbles in the bag None of the above C) Based on the sample, the student would estimate that _____ marbles in the bag were red.
5) Accounting data for sales showed that in randomly selected 15 stores the quantities of products sold are: 509, 517, 502, 629, 830, 911, 847, 803, 727, 853, 757, 730, 774, 718, 904 Unsatisfied with those results, a company decided to start advertising campaign. After the campaign finished, the number of products sold in these same stores were: 517, 508, 523, 730, 821, 940, 818, 821, 842, 842, 709, 688, 787, 780, 901 Did the advertising campaign produce statistically significant results?
The following contingency table represents a cross-classification of hair color and eye color males. Is there an association between hair and eye color in males? Hair Color Eye Color H1 Н2 H3 H4 E1 1768 807 189 47 E2 946 1387 746 53 ЕЗ 115 438 288 16

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