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BCO127 APPLIED MANAGEMENT STATISTICS Final Task brief & rubrics

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The grades and the hours of study/week for the students attending a course of Statistics are the following:

Student # Name Gender (0:male; 1:female)

Hours of study/ week

01 Anna 1 10 85

02 Robert 0 7 82

03 Catherina 1 12 91

04 Daniel 0 6 80

05 Emily 1 7 79

06 Fred 0 5 76

07 George 0 6 75

08 Henry 0 8 82

09 Ines 1 10 88

10 Johanna 1 10 86

11 Sara 1 12 93

12 Paul 0 9 86

13 Rose 1 8 81

14 Maria 1 13 90

15 Roger 0 7 84

16 Peter 0 5 77

17 Eve 1 9 84

18 Tony 0 8 80

19 Alexandra 1 7 78

20 Albert 0 9 82

1) Do you think that boys and girls study the same time and get the same results? (25 points) Elaborate your answer using a Test of Significance:

a. What do you think is the most appropriate Hypothesis Test? b. What is the Null Hypothesis? And Alternative Hypothesis? c. Calculate the P-values. What will be your decision?

2) Use the list of random digits and choose a Simple Random Sample (SRS) of six. Start at the beginning of this list and attach labels to the names. What is

the sample do you obtain? (15 points)

Using this sample, do you conclude the same than in question 1) ? Justify your answer. (10 points)

3) Assuming the variable Grade is following a Normal Distribution, with the sample in 2) estimate the population mean with a Confidence interval of 80%, 95% and 99.9%. (20 points).

4) Determine the relationship between the hours of study and the grade. (30 points)

a. Plotting a scatter diagram of the data, what does this suggest?

b. Calculate the linear regression equation that best fits the data and explain the independent and dependent variables.

c. Calculate the correlation coefficient and what does it mean.

d. Estimate the grade if the time of study is 4.5 hours/week.

Formalities:

• Word document.

• Wordcount: 1000-1500 words.

• Font: Arial 12,5 pts.

• Text alignment: Justified.

• The in-text References and the Bibliography have to be in Harvard’s citation style.

Submission:

Week 13 – Via Moodle (Turnitin).

Deadline: 9th May 2020 at 23:59 CEST.

Weight: This task is a 40% of total grade for this subject.

It assesses the following learning outcomes.

On successful completion of this course, students will be able to:

1. Design and explain statistical models, perform analysis and solve real-world problems.

2. Understand concepts, formulas, and techniques of statistics through applied examples.

3. Understand statistical language and develop statistical thinking.

4. Interpret results of statistical analysis.

Rubrics.

Exceptional 90-100 Good 80-89 Fair 70-79 Marginal fail 60-69

Knowledge & Understanding

(20%)

Student demonstrates excellent understanding of key concepts and uses vocabulary in an entirely appropriate manner.

Student demonstrates good understanding of the task and mentions some relevant concepts and demonstrates use of the relevant vocabulary.

Student understands the task and provides minimum theory and/or some use of vocabulary.

Student understands the task and attempts to answer the question but does not mention key concepts or uses minimum amount of relevant vocabulary.

Application (30%) Student applies fully relevant knowledge from the topics delivered in class.

Student applies mostly relevant knowledge from the topics delivered in class.

Student applies some relevant knowledge from the topics delivered in class. Misunderstanding may be evident.

Student applies little relevant knowledge from the topics delivered in class. Misunderstands are evident.

Critical Thinking (30%)

Student critically assesses in excellent ways, drawing outstanding conclusions from relevant authors.

Student critically assesses in good ways, drawing conclusions from relevant authors and references.

Student provides some insights but stays on the surface of the topic. References may not be relevant.

Student makes little or none critical thinking insights, does not quote appropriate authors, and does not provide valid sources.

Communication (20%)

Student communicates their ideas extremely clearly and concisely, respecting word count, grammar and spellcheck

Student communicates their ideas clearly and concisely, respecting word count, grammar and spellcheck

Student communicates their ideas with some clarity and concision. It may be slightly over or under the wordcount limit. Some misspelling errors may be evident.

Student communicates their ideas in a somewhat unclear and unconcise way. Does not reach or does exceed wordcount excessively and misspelling errors are evident.

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