= Quiz 1 =

Thursday, 27 June 2019

1:35 PM

 

 

 Untitled picture.png In a data set the following variables are recorded for a small group of elderly people : age (in years), gender (male/female), marital status (married, never married, divorced, widowed), height (cm), weight (kg). Which of the variables age, gender, height, marital status and weight are numerical ? Your Answer: height, age and weight are numerical, gender and marital status are not e Correct Untitled picture.png Use Matlab to construct a histogram of the following data How would the distribution be best described ? e Correct 1, 2, 23, 45, 52, 66, 73, 76, 77, 78, 81, 83, 86, 88, 89, 89, 91, 92, 92, 93, 94, 96, 96, 96, 97, 98, 99, 99 Your Answer: unimodal and left skewed >> histogram([1, 2, 23, 45, 52, 66, 73, 76, 77, 78, 81, 83, 86, 88, 89, 89, 91, 92, 92, 93, 94, 96, 96, 96, 97, 98, 99, 99, 99], 10) Untitled picture.png 14 12 ιο ιο 20 30 40 50 60 70 80 90 100 Untitled picture.png Load the following sample into Matlab: [31, 90, 8, 83, 83, 27, 86, 51, 17, 55, 92, 2, 91, 39, 97, 79, 47, 4, 92, 80, 36, 66, 22] Hence compute, to two decimal places: (a) The sample mean e Your response 5557 Grade: 1/1.0 (b) The sample standard deviation Correct response 55.565217±0.02 Correct response 32.386622±0.02 e Your response 32.39 Grade: 1/1.0 Untitled picture.png The following data is recorded for students starting University : age (in years), gender (male/female), faculty in which they are enrolled (Engineering, Science, Arts, Law or other), University (UNSW, University of Sydney, UTS, Macquarie, ACU, other). Which of the variables age, gender, faculty and University are categorical variables? Your Answer: University, faculty and gender are categorical, age is not Correct Untitled picture.png The following data is recorded for students starting University : age (in years), gender (male/female), faculty in which they are enrolled (Engineering, Science, Arts, Law or other), University (UNSW, University of Sydney, UTS, Macquarie, ACU, other). Which of the variables age, gender, faculty and University are categorical variables? Your Answer: University, faculty and gender are categorical, age is not Correct
Untitled picture.png Load the following sample into Matlab: [31, 90, 8, 83, 83, 27, 86, 51, 17, 55, 92, 2, 91, 39, 97, 79, 47, 4, 92, 80, 36, 66, 22] Hence compute, to two decimal places: (a) The sample mean e Your response 5557 Grade: 1/1.0 (b) The sample standard deviation Correct response 55.565217±0.02 Correct response 32.386622±0.02 e Your response 32.39 Grade: 1/1.0 >> quantile([...], [0:0.25:1]) Untitled picture.png Use Matlab to determine the five number summary of the following sample data [22, 75, 41, 25, 74, 90, 35, 41, 73, 17, 77, 79, 83, 53, 26, 32, 98, 53, 96, 80, 25, 17, 32, 94, 32, 62, 59, 95, 50, 79, 83, 19, 86, 90, 99, 90, 21, 64, 74, 29] e e e e e Your response 17 Grade: 1/1.0 Your response 32 Grade: 1/1.0 Your response 63 Grade: 1/1.0 Your response 83 Grade: 1/1.0 Your response 99 Grade: 1/1.0 Correct response 17±0.002 Correct response 32±0.002 Correct response 63±0.002 Correct response 83±0.002 Correct response 99±0.002 Untitled picture.png Load the following sample into Matlab: [12, 86, 51, 68, 64, 91, 60, 67, 44 8, 64, 53, 25, 6, 73, 74, 8, 42, 29, 2, 68, 47] Hence compute, to two decimal places: (a) The sample mean e Your response 4570 Grade: 1/1.0 (b) The sample standard deviation Correct response 45.695652±0.02 Correct response 27.930815±0.02 e Your response 27.93 Grade: 1/1.0 Untitled picture.png Use Matlab to determine the five number summary of the following sample data [54, 70, 95, 53, 16, 50, 61 v 85, 21, 98, 88, 39, 87, 89, 8, 82, 48, 34, 84, 94 54, 92, 75, 95, 42, 88, 94 29, 27, 89, 97, 53, 96, 4 12, 22, 11, 2, 9, 11] e e e e e Your response 2 Grade: 1/1.0 Your response 24.5 Grade: 1/1.0 Your response 54 Grade: 1/1.0 Your response 88.5 Grade: 1/1.0 Your response 98 Grade: 1/1.0 Correct response 2±0.002 Correct response u5±o.002 Correct response 54±0.002 Correct response 88.5±0.002 Correct response 98±0.002 Untitled picture.png Load the following sample into Matlab: [12, 86, 51, 68, 64, 91, 60, 67, 44 8, 64, 53, 25, 6, 73, 74, 8, 42, 29, 2, 68, 47] Hence compute, to two decimal places: (a) The sample mean e Your response 4570 Grade: 1/1.0 (b) The sample standard deviation Correct response 45.695652±0.02 Correct response 27.930815±0.02 e Your response 27.93 Grade: 1/1.0 Untitled picture.png Use Matlab to determine the five number summary of the following sample data [54, 70, 95, 53, 16, 50, 61 v 85, 21, 98, 88, 39, 87, 89, 8, 82, 48, 34, 84, 94 54, 92, 75, 95, 42, 88, 94 29, 27, 89, 97, 53, 96, 4 12, 22, 11, 2, 9, 11] e e e e e Your response 2 Grade: 1/1.0 Your response 24.5 Grade: 1/1.0 Your response 54 Grade: 1/1.0 Your response 88.5 Grade: 1/1.0 Your response 98 Grade: 1/1.0 Correct response 2±0.002 Correct response u5±o.002 Correct response 54±0.002 Correct response 88.5±0.002 Correct response 98±0.002
Untitled picture.png Use Matlab to determine the five number summary of the following sample data [22, 75, 41, 25, 74, 90, 35, 41, 73, 17, 77, 79, 83, 53, 26, 32, 98, 53, 96, 80, 25, 17, 32, 94, 32, 62, 59, 95, 50, 79, 83, 19, 86, 90, 99, 90, 21, 64, 74, 29] e e e e e Your response 17 Grade: 1/1.0 Your response 32 Grade: 1/1.0 Your response 63 Grade: 1/1.0 Your response 83 Grade: 1/1.0 Your response 99 Grade: 1/1.0 Correct response 17±0.002 Correct response 32±0.002 Correct response 63±0.002 Correct response 83±0.002 Correct response 99±0.002 Untitled picture.png Question 5: Score 1/1 Let A and B be two independent events in a sample space with P(A) and P(B) = 06. Determine, if possible, Your Answer: P(A and B) = 0.1 Correct Answer: P(A and B) = 0.1 e and B). Correct Untitled picture.png Question 6: Score 1/1 Let A and B be events in a sample space with complements AC and BC Assume that P(A) Your Answer: 0.3 = 0.3, P(B) = and B) e = Determine (if possible) the probability P(AC and BC). Correct Untitled picture.png Question 7: Score 0/1 Let C and D be two events in a sample space, with P(C) = 0.24, P(D) = 0.12 and P(C and D) Your Answer: P(DIC) cannot be determined from the information in the question Correct Answer: P(DIC) = 1/8 = 003. Determine (if possible) the conditional probability P(DIC). Incorrect Untitled picture.png Use Matlab to determine the five number summary of the following sample data [54, 70, 95, 53, 16, 50, 61 v 85, 21, 98, 88, 39, 87, 89, 8, 82, 48, 34, 84, 94 54, 92, 75, 95, 42, 88, 94 29, 27, 89, 97, 53, 96, 4 12, 22, 11, 2, 9, 11] e e e e e Your response 2 Grade: 1/1.0 Your response 24.5 Grade: 1/1.0 Your response 54 Grade: 1/1.0 Your response 88.5 Grade: 1/1.0 Your response 98 Grade: 1/1.0 Correct response 2±0.002 Correct response u5±o.002 Correct response 54±0.002 Correct response 88.5±0.002 Correct response 98±0.002 Untitled picture.png Question 5: Score 1/1 Let A and B be two mutually exclusive events in a sample space with P(A) Your Answer: P(A or B) = 0.5 = 0.2 and P(B) = 0.3. Determine, if possible, P(A or B). Correct Untitled picture.png Let A, B, C be three events in a sample space A, B, C are independent? Your Answer: A and C only with P(A) = 08, and P(A and B) = 0.025, and C) = 0.03 and and C) -0.023. Which pair of the events Correct Untitled picture.png Question 7: Score 1/1 Let C and D be two events in a sample space, with P(C) Your Answer: P(DIC) = 1/4 = 0.12, P(D) = 0_36 and and D) e = 003. Determine (if possible) the conditional probability P(DIC). Correct Ink Drawings Ink Drawings              Ink Drawings Ink Drawings Ink Drawings Ink Drawings Ink Drawings     Ink Drawings Ink Drawings Ink Drawings      Untitled picture.png Use Matlab to determine the five number summary of the following sample data [54, 70, 95, 53, 16, 50, 61 v 85, 21, 98, 88, 39, 87, 89, 8, 82, 48, 34, 84, 94 54, 92, 75, 95, 42, 88, 94 29, 27, 89, 97, 53, 96, 4 12, 22, 11, 2, 9, 11] e e e e e Your response 2 Grade: 1/1.0 Your response 24.5 Grade: 1/1.0 Your response 54 Grade: 1/1.0 Your response 88.5 Grade: 1/1.0 Your response 98 Grade: 1/1.0 Correct response 2±0.002 Correct response u5±o.002 Correct response 54±0.002 Correct response 88.5±0.002 Correct response 98±0.002 Untitled picture.png Question 5: Score 1/1 Let A and B be two mutually exclusive events in a sample space with P(A) Your Answer: P(A or B) = 0.5 = 0.2 and P(B) = 0.3. Determine, if possible, P(A or B). Correct Untitled picture.png Let A, B, C be three events in a sample space A, B, C are independent? Your Answer: A and C only with P(A) = 08, and P(A and B) = 0.025, and C) = 0.03 and and C) -0.023. Which pair of the events Correct Untitled picture.png Question 7: Score 1/1 Let C and D be two events in a sample space, with P(C) Your Answer: P(DIC) = 1/4 = 0.12, P(D) = 0_36 and and D) e = 003. Determine (if possible) the conditional probability P(DIC). Correct Ink Drawings Ink Drawings Ink Drawings Ink Drawings       
Untitled picture.png Question 8 ork in Progress : Score 2/2 e know the following about a colorimetric method used to test lake water for nitrates. If water specimens contain nitrates, a solution dropped into water will cause the specimen turn red 90% of the time When used on water specimen without nitrates, the solution causes the water to turn red 15% of the time (because chemicals other than nitrates might so be present and react to the agent). Past experience in a lab indicates that nitrates are contained in 15% of the water specimens that are sent to the lab for testing. a) If a water specimen is randomly selected from among those sent to the lab, what is the probability that it will turn red when tested? Give your answer to three decimal places Your response 0.263 Grade: 1/1.0 Correct response 0.262±0.002 e e b) If a water specimen is randomly chosen and turns red when tested, what is the probability that it actually contains the nitrates? Give your answer to three decimal places Your response 0.514 Grade: 1/1.0 Correct response 0.514286±0.002 Untitled picture.png Question 8 ork in Progress : Score 2/2 e know the following about a colorimetric method used to test lake water for nitrates. If water specimens contain nitrates, a solution dropped into water will cause the specimen turn red 95% of the time When used on water specimen without nitrates, the solution causes the water to turn red 10% of the time (because chemicals other than nitrates might so be present and react to the agent). Past experience in a lab indicates that nitrates are contained in 25% of the water specimens that are sent to the lab for testing. a) If a water specimen is randomly selected from among those sent to the lab, what is the probability that it will turn red when tested? Give your answer to three decimal places Your response 0.313 Grade: 1/1.0 Correct response 0.312±0.002 e e b) If a water specimen is randomly chosen and turns red when tested, what is the probability that it actually contains the nitrates? Give your answer to three decimal places Your response 0_76 Grade: 1/1.0 Correct response 0.76±0.002 Untitled picture.png Question 8 ork in Progress : Score 2/2 e know the following about a colorimetric method used to test lake water for nitrates. If water specimens contain nitrates, a solution dropped into water will cause the specimen turn red 95% of the time When used on water specimen without nitrates, the solution causes the water to turn red 10% of the time (because chemicals other than nitrates might so be present and react to the agent). Past experience in a lab indicates that nitrates are contained in 25% of the water specimens that are sent to the lab for testing. a) If a water specimen is randomly selected from among those sent to the lab, what is the probability that it will turn red when tested? Give your answer to three decimal places Your response 0.313 Grade: 1/1.0 Correct response 0.312±0.002 e e b) If a water specimen is randomly chosen and turns red when tested, what is the probability that it actually contains the nitrates? Give your answer to three decimal places Your response 0_76 Grade: 1/1.0 Correct response 0.76±0.002

Use Matlab to construct a histogram for the following data. How would the distribution be best described Q 10, 10, 12, 13, 13, 14, 17, 19, 19, 22, 24, 55, 62771, 80, 114, 200 Your Answer: unimodal and right skewed Correct Answer: unimodal, right skewed with some apparent outliers Feedback: Incorrect

 

 

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Untitled picture.png Question 5: Score 1/1 Let E and F be two events in a sample space with P(E) Your Answer: P(E or F) = 0.8 Correct Answer: P(E or F) = 0.8 Feedback: = 0.5, P(F) = 0.7, and and F) e = 0_4_ Determine, if possible, P(E or F). Correct     

 

 

Untitled picture.png Question 7: Score 1/1 Let C and D be two events in a sample space, with P(C) Your Answer: P(C D) = 1/12 Correct Answer: P(C D) = 1/12 Feedback: = 0.12, P(D) = 0_36 and and D) e = 003. Determine (if possible) the conditional probability P(C D). Correct Ink Drawings Ink Drawings Ink Drawings Ink Drawings Ink Drawings Ink Drawings Ink Drawings Ink Drawings Ink Drawings

 

 

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