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16 Ayesha selects a sample of six children from a primary school and measures their heights in centimetres. She finds that five of the children are taller than the national average for their age. a Comment whether cach of the following could be a sensible conclusion for Ayesha to draw: i The children at this school are taller than average. ii The sampling methods must have been biased. iii This just happens to be an unusual sample. b If instead, Ayesha took a sample of 60 children and found that 50 were taller than the national average, how would your answer to a change? c In a larger sample, Ayesha identified two values as outliers: -32 cm and 155 cm. For each of the values, comment whether it should be kept or discarded from further analysis. o admit-for

16 Ayesha selects a sample of six children from a primary school and measures their heights in centimetres. She finds that five of the children are taller than the national average for their age. a Comment whether cach of the following could be a sensible conclusion for Ayesha to draw: i The children at this school are taller than average. ii The sampling methods must have been biased. iii This just happens to be an unusual sample. b If instead, Ayesha took a sample of 60 children and found that 50 were taller than the national average, how would your answer to a change? c In a larger sample, Ayesha identified two values as outliers: -32 cm and 155 cm. For each of the values, comment whether it should be kept or discarded from further analysis. o admit-for

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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ld be reasonable to generalize the results from Dan's investigation to all 12- to 14-year- olds in the country? 15 A zoologist wants to investigate the distribution of the number of spots on ladybirds. She prepares the following table to record her data: 16 Number of spots Number of ladybirds 2 7 10 Are the data she is collecting discrete or continuous? Would it be possible to collect the data for the whole population of ladybirds in a particular field? The zoologist collects her data by counting the number of spots on the first 100 ladybirds she catches. State the name for this sampling procedure. b Give one reason why the results from this sample may not be generalizable to the whole population. Ayesha selects a sample of six children from a primary school and measures their heights in centimetres. She finds that five of the children are taller than the national average for their age. a Comment whether each of the following could be a sensible conclusion for Ayesha to draw: i The children at this school are taller than average. ii The sampling methods must have been biased. iii This just happens to be an unusual sample. b If instead, Ayesha took a sample of 60 children and found that 50 were taller than the national average, how would your answer to a change? c In a larger sample, Ayesha identified two values as outliers: -32 cm and 155 cm. For each of the values, comment whether it should be kept or discarded from further analysis. 17 In many situations, researchers want to find out about something which people do not want to admit - for example, criminal activity. Randomized Response Theory (RRT) is one method which allows researchers to estimate the proportion of a population with the trait without ever knowing if an individual has that trait. a Research subjects take one of three cards at random and are asked to follow the instructions on the card. Th cards have the following text: Card 1: Say yes. Card 2: Say no. Card 3: Say yes if you have ever taken illegal drugs, otherwise say no. If 24 out of 60 research subjects say 'Yes' estimate the percentage of the population who have taken illega drugs. b A sample of students were shown two statements. Statement 1: I have cheated on a test. Statement 2: I have never cheated on a test They were asked to secretly roll a dice and if they got a 6 state honestly say true or false about the first statement, otherwise say true or false honestly about the second statement. i If 20% of students have cheated on a test, how many out of 120 students would be expected to answ ii If 48 out of 120 students say 'True' estimate the percentage of the students who have cheated on a t
Transcribed Image Text:ld be reasonable to generalize the results from Dan's investigation to all 12- to 14-year- olds in the country? 15 A zoologist wants to investigate the distribution of the number of spots on ladybirds. She prepares the following table to record her data: 16 Number of spots Number of ladybirds 2 7 10 Are the data she is collecting discrete or continuous? Would it be possible to collect the data for the whole population of ladybirds in a particular field? The zoologist collects her data by counting the number of spots on the first 100 ladybirds she catches. State the name for this sampling procedure. b Give one reason why the results from this sample may not be generalizable to the whole population. Ayesha selects a sample of six children from a primary school and measures their heights in centimetres. She finds that five of the children are taller than the national average for their age. a Comment whether each of the following could be a sensible conclusion for Ayesha to draw: i The children at this school are taller than average. ii The sampling methods must have been biased. iii This just happens to be an unusual sample. b If instead, Ayesha took a sample of 60 children and found that 50 were taller than the national average, how would your answer to a change? c In a larger sample, Ayesha identified two values as outliers: -32 cm and 155 cm. For each of the values, comment whether it should be kept or discarded from further analysis. 17 In many situations, researchers want to find out about something which people do not want to admit - for example, criminal activity. Randomized Response Theory (RRT) is one method which allows researchers to estimate the proportion of a population with the trait without ever knowing if an individual has that trait. a Research subjects take one of three cards at random and are asked to follow the instructions on the card. Th cards have the following text: Card 1: Say yes. Card 2: Say no. Card 3: Say yes if you have ever taken illegal drugs, otherwise say no. If 24 out of 60 research subjects say 'Yes' estimate the percentage of the population who have taken illega drugs. b A sample of students were shown two statements. Statement 1: I have cheated on a test. Statement 2: I have never cheated on a test They were asked to secretly roll a dice and if they got a 6 state honestly say true or false about the first statement, otherwise say true or false honestly about the second statement. i If 20% of students have cheated on a test, how many out of 120 students would be expected to answ ii If 48 out of 120 students say 'True' estimate the percentage of the students who have cheated on a t
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the number of children in the sample =6

The number of students with heights above the national average =5

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