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The following table shows the weight of students in a class. Student number 01 02 03 04 05 06 07 08 09 10 Weight (kg) 92 70 93 88 92 91 88 56 95 51 Student number 11 12 13 14 15 16 17 18 19 20 Weight (kg) 50 57 76 68 51 81 69 76 60 97 The class tutor is going to investigate the health of students by finding out the average weight in a sample taken by the following two methods. Method 1: 4 students are selected randomly. Method 2: 4 students are selected systematically. (a) If Method 1 is used, (i) write down the selected student numbers by using the random number table below with the starting point row 2 column 1. (ii) what is the average weight in this sample? (b) If Method 2 is used, (i) calculate the value of "k" in systematic random sampling. (ii) write down the student numbers selected by using the random number table below with the starting point row 1 column 7 to identify the 1st student number. (iii) what is the average weight in this sample? (c) Which method (1 or 2) is better? Justify your answer briefly. Random Number Table Column 1 3 4 6. 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 9. 7 9. 8. 2 2 4 8. 7 1 3 6. 6. 1 4 8. 7 2 8 8. 9 7 2 Row 3 8 8 1 6. 8 9. 7 1 3. 4 1 2 8 1 1 2 1 4 4 8 4 6. 7 7 8. 9. 4 4 4 8 7 1 1 9. 2 4 8. 6. 6. 7 9 7 1 2

The following table shows the weight of students in a class. Student number 01 02 03 04 05 06 07 08 09 10 Weight (kg) 92 70 93 88 92 91 88 56 95 51 Student number 11 12 13 14 15 16 17 18 19 20 Weight (kg) 50 57 76 68 51 81 69 76 60 97 The class tutor is going to investigate the health of students by finding out the average weight in a sample taken by the following two methods. Method 1: 4 students are selected randomly. Method 2: 4 students are selected systematically. (a) If Method 1 is used, (i) write down the selected student numbers by using the random number table below with the starting point row 2 column 1. (ii) what is the average weight in this sample? (b) If Method 2 is used, (i) calculate the value of "k" in systematic random sampling. (ii) write down the student numbers selected by using the random number table below with the starting point row 1 column 7 to identify the 1st student number. (iii) what is the average weight in this sample? (c) Which method (1 or 2) is better? Justify your answer briefly. Random Number Table Column 1 3 4 6. 7 8 9 10 11 12 13 14 15 16 17 18 19 20 1 9. 7 9. 8. 2 2 4 8. 7 1 3 6. 6. 1 4 8. 7 2 8 8. 9 7 2 Row 3 8 8 1 6. 8 9. 7 1 3. 4 1 2 8 1 1 2 1 4 4 8 4 6. 7 7 8. 9. 4 4 4 8 7 1 1 9. 2 4 8. 6. 6. 7 9 7 1 2

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The following table shows the weight of students in a class. Student number 01 02 03 04 05 06 07 08 09 10 Weight (kg) 92 70 93 88 92 91 88 56 95 51 Student number 11 12 13 14 15 16 17 18 19 20 Weight (kg) 50 57 76 68 51 81 69 76 60 97 The class tutor is going to investigate the health of students by finding out the average weight in a sample taken by the following two methods. Method 1: 4 students are selected randomly. Method 2: 4 students are selected systematically. (а) If Method 1 is used, (i) write down the selected student numbers by using the random number table below with the starting point row 2 column 1. (ii) what is the average weight in this sample? (b) If Method 2 is used, (i) calculate the value of "k" in systematic random sampling. (ii) write down the student numbers selected by using the random number table below with the starting point row 1 column 7 to identify the 1st student number. (iii) Which method (1 or 2) is better? Justify your answer briefly. what is the average weight in this sample? (c) Random Number Table Column 1 2 3 4 5 6. 7 8. 9 10 11 12 13 14 15 16 17 18 19 20 1 9. 7 9. 8 2 2 8. 7 1 3 6. 6. 1 4 8 7 2 8 9 7 2 Row- 3 8. 8 8 6. 8. 9. 7 1 3 4 1 2 8. 1 1 2 1 4 4 8 6 7 7 8 9 4 4 4 8 2 7 9 1 1 2 9 2 4 8 6. 6 7 9 7 1 2
Transcribed Image Text:The following table shows the weight of students in a class. Student number 01 02 03 04 05 06 07 08 09 10 Weight (kg) 92 70 93 88 92 91 88 56 95 51 Student number 11 12 13 14 15 16 17 18 19 20 Weight (kg) 50 57 76 68 51 81 69 76 60 97 The class tutor is going to investigate the health of students by finding out the average weight in a sample taken by the following two methods. Method 1: 4 students are selected randomly. Method 2: 4 students are selected systematically. (а) If Method 1 is used, (i) write down the selected student numbers by using the random number table below with the starting point row 2 column 1. (ii) what is the average weight in this sample? (b) If Method 2 is used, (i) calculate the value of "k" in systematic random sampling. (ii) write down the student numbers selected by using the random number table below with the starting point row 1 column 7 to identify the 1st student number. (iii) Which method (1 or 2) is better? Justify your answer briefly. what is the average weight in this sample? (c) Random Number Table Column 1 2 3 4 5 6. 7 8. 9 10 11 12 13 14 15 16 17 18 19 20 1 9. 7 9. 8 2 2 8. 7 1 3 6. 6. 1 4 8 7 2 8 9 7 2 Row- 3 8. 8 8 6. 8. 9. 7 1 3 4 1 2 8. 1 1 2 1 4 4 8 6 7 7 8 9 4 4 4 8 2 7 9 1 1 2 9 2 4 8 6. 6 7 9 7 1 2
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