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What is the probability that a randomly selected student wants free marks without any assignment?

Q1: This is an individual assignment. This assignment covers units 1-8. And this assignment is graded out of 59 and contributes 40% of your final grade. This assignment requires manual calculation as well as analyzing data using the statistical package R. Your final assessment submission must be in Microsoft Word or pdf format. The detailed rubric for this assignment may be located in the course guide as well as the course assessment document. You will be working with the KBP dataset provided in the course space. You will also need to use the document, Questions for KBP Survey. This document has selected questions as they appeared on the questionnaire that was administered to collect the data for this project. 1. Classify the variables by the levels of measurement used. Explain your choice of the levels of measurement. (12 marks)

A: There are four different levels of measurements which are given below:

1. Nominal (Latin for name only)–:

The first level of measurement is the nominal level of measurement. In this level of measurement, the numbers in the variable are used only to group and determine the data. In this level of measurement, words, letters, and alpha-numeric symbols can be used. Suppose there is some information about people having different blood groups. In this case, the person having a positive blood group could be classified as A+, the person having B positive could be classified as B+, and so on. This type of assigning classification is the nominal level of measurement.

2. Ordinal (Think ordered levels or ranks)–:

This is the second level of measurement. This level of measurement describes some arranged relationships among the variable’s observations. Suppose a student scores 99 out of 100 in the class. In this case, he would be assigned the first rank. Then, another batchmate scores the second-highest grade of a 92; she would be assigned the second rank. A third student scores 88 and he would be assigned the third rank, and so on. The ordinal level of measurement indicates an organized way or say ordered way of the measurements.

3. Interval (Equal intervals among levels)–:

The third level of measurement is classified as the interval level of measurement. It classifies and orders the measurements, as well as also specifies that the gaps or distances between each interval on the scale are equivalent along the scale from low-level interval to high-level interval. A popular example of this level of measurement is the temperature in centigrade, where, the difference between 600C and 500C is the same as the distance between 900C and 700C. .Another example will be an interval level of measurement could be the measurement of anxiety in a student between the score of 20 and 21, this interval is the same as that of a student who scores between 50 and 51.

4. Ratio–:

The fourth level of measurement is classified as the ratio level of measurement. In this level of measurement, the observations, in addition to having equal intervals, can have a value of zero as well, which allows for a wide range of statistics to be applied. Everything above about interval data applies to ratio scales, plus ratio scales have a clear definition of zero. The zero in this scale makes this type of measurement different from the other types of measurement. In the ratio level of measurement, the divisions between the points on the scale have equal distance between them. Examples of this type of measurement include height, weight, and duration.

According to my view, I will choose either ratio level measurement or interval level measurement as these levels of measurement are much more exact and accurate as compared to the other two.

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Q2: There are 124 students in a class among which 59 students like short but frequent assignments, 35 students like lengthy but not so frequent assignments, 20 students like both types of assignments and the rest wants free marks without any assignments.

  1. what is the probability that a randomly selected student wants only the “short but frequent assignments”.
  • What is the probability that a randomly selected student wants free marks without any assignment?

A2: Suppose that there are 124 students in a class among which

59 students like short but frequent assignments,

35 students like lengthy but not so frequent assignments,

20 students like both types of assignments

and the rest, 10 wants free marks without any assignments.

To find: the probability that a randomly selected student wants only the “short but frequent assignments”

There are 124 students in the class in total and 59 students like short but frequent assignments.

P( randomly selected student wants only the short but frequent assignments) = 59/124 = 0.4758.

What is the probability that a randomly selected student wants free marks without any assignment?

There are 124 in class in total and 10 wants free marks without any assignments.

P( randomly selected student wants free marks without any assignments) = 10/124 = 0.0806.

 

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