Assessment Guide

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Assessment Guide

STAT207: Business Data Analysis, Semester 2, 2023

Assessment Task (1)

Assessment Artefact (Invigilated Examination)

Weighting [30%]

Total Marks: 30

Duration: 1.20 hours

Instructions

Attempt ALL questions.

Answer the questions in the space provided, insert more lines where appropriate.

Submit your answers via turnitin dropbox on LEO.

Examination is unrestricted open book. However, usage of (i) internet other than LEO access and (ii) mobile phones during the examination is strictly prohibited. Doing so would result in a disqualification of the assessment and zero mark would be awarded consequently.

Please bring a laptop to the examination.

Please download Standard Normal Distribution (z) table from LEO beforehand.

Name:

Student No.: .........

Campus:

left571500

QUESTION 1

Below is the dataset for children enrolment in preschool or preschool program for 2021 across the different states in Australia.

Children enrolled in a preschool or preschool program (4- and 5-year-olds)

State 4-year-olds enrolled in preschool or preschool program (no.)5-year-olds enrolled in preschool or preschool program (no.)Children enrolled in preschool (no.) Children enrolled in preschool program within centre-based day care (no.) Children enrolled across more than one provider type (no.) Children enrolled in a preschool or preschool program (no.)

New South Wales 81,925 25,911 27,323 71,558 8,956 107,840

Victoria 66,575 27,312 37,846 44,843 11,196 93,883

Queensland 54,547 8,194 16,064 43,726 2,952 62,741

South Australia 16,749 3,441 9,361 6,474 4,355 20,192

Western Australia 33,923 1,552 24,527 2,247 8,705 35,478

Tasmania 4,733 3,401 4,895 2,061 1,186 8,136

Northern Territory 3,135 363 2,011 540 942 3,499

Australian Capital Territory 5,482 1,734 2,702 2,569 1,950 7,222

Source: Australian Bureau of Statistics, 21 June 2023

Which measure of central tendency can be applied appropriately to the dataset presented above? Provide a reasonable justification for your response. 2 marks

Determine the standard deviation for (i) 4-year-olds enrolled in preschool or preschool program (no.) and (ii) 5-year-olds enrolled in preschool or preschool program (no.) and comment on their implications for each distribution. 4 marks

4-year-olds enrolled in preschool or preschool program (no.)

Standard deviation --------------------------------------

5-year-olds enrolled in preschool or preschool program (no.)

Standard deviation --------------------------------------

Comment

What social economic inference can be drawn from the descriptive statistic determine in (b) regarding children enrolment in preschool or preschool program across Australia?

4 marks

(Total: 10 marks)

QUESTION 2

In a statistics class consisting of 120 students, it has been established that 1 in 20 students are likely to obtain a high distinction score in the final examination based on past records.

Required:

Discuss two key attributes of the above distribution that can be used for its identification and specify the type of distribution. 3 marks

Attribute 1

Attribute 2

Type of distribution

Determine the probability that exactly five (5) students will obtain a high distinction score in the final examination. 2 marks

Determine the mean and standard deviation of the distribution and use the obtained descriptive statistics to describe the nature of the distribution. 2 marks

A new teaching assistant has been employed to facilitate the teaching and learning of statistics for current semester. She claims that 11 students will obtain a high distinction score in the final examination. Is her assertion valid? 3 marks

(Total: 10 marks)

QUESTION 3

With the recent hikes in interest rates by the Reserve Bank of Australia, most consumers in Australia have attempted to promptly pay off their credit card bills. An analysis of the payment trend of consumers suggests that the payment trends are normally distributed with a mean amount of $130 and a standard deviation of $45.

What proportion of consumers are likely to pay at least $270 of their credit card bills? 2 marks

What proportion of consumers are likely to pay between $70 and $250. 4 marks

Is it possible for a consumer to pay more than $280 of their credit card bill? Explain your answer.

4 marks