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1.4 Discuss the relationship between Bronfenbrenner’s ecological theory and the factors that influence intelligence.



(a) Where in the world do we find evidence that people measured things? (1)



(b) Approximately to what year does this evidence date back? (1)



(c) Give detail of how measuring was done in that time. (2)



(d) Where in CAPS is this type of measurement covered as a topic




Where in CAPS is this type of geometry covered as a topic?

A resort owner does a daily water quality test in their swimming pool. If the level of contaminants is too high, then he temporarily closes the pool to perform a water treatment



We can state the hypothesis for his test as;


Ho: the water quality is acceptable


Ha: the water quality is not acceptable



1. What would be the consequences of type I error in this setting?


2. What would be the consequences of a Type II error in this setting?


3. In terms of safety, which error has more dangerous consequences in this setting?



Obesity is a risk factor for Type 2 diabetes. Mr M was recommended to have an Oral glucose tolerance test

Q4. Briefly describe how this test can be used to check whether Mr M is in the

early stages of the disease. Your answer should include the underlying biochemical

principles behind the test.



The average number of yearly accident at a traffic intersection is 5. Find the probability that there are exactly three accidents at the same intersection this year.

You are given an array of numbers as input: [10,20,10,40,50,45,30,70,5,20,45] and a target value: 50. You are required to find pairs of elements (indices of two numbers) from the given array whose sum equals a specific target number. Your solution should not use the same element twice, thus it must be a single solution for each input



1.1 Write a Python class that defines a function to find pairs which takes 2 parameters (input array and target value) and returns a list of pairs whose sum is equal to target given above. You are required to print the list of pairs and state how many pairs if found. Your solution should call the function to find pairs, then return a list of pairs.



1.2 Given the input array nums in 1.1 above. Write a second program to find a set of good pairs from that input array nums. Here a pair (i,j) is said to be a good pair if nums[i] is the same as nums[j] and i < j. You are required to display an array of good pairs indices and the number of good pairs.

Name two soft law instruments


  • There were ten red bottles sitting on the wall. The probability of a red bottle accidentally falling is 0.95. What is the probability that fewer than 8 of the green bottles accidentally fall?

1. A magazine conducted a survey about the sleeping time of adults. A random sample

of 12 adults were chosen from the adults travelling to work on a train.

a. Give reason why this is an unsatisfactory sample for the purpose of the study.

b. State a population for which this sample would be satisfactory.


2. A machine is designed to make paperclips with mean mass 4.00g and standard

deviation 0.08. The distribution of the masses of the paperclips is normal. A quality

controller weighs a random sample of 25 paperclips and find their total mass to be

101.2g.

a. Describe the use of hypothesis testing in real world.

b. Conduct a hypothesis test at 5% significance level to test whether this provides

evidence of an increase in the mean mass of the paperclips.


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