STAT20029 T2 2020 Assignment 2
Assessment item 2â€”Assignment 2
Question 1
Visit the Australian Stock Exchange website, www.asx.com.au and from “Prices and research” dropdown menu, select “Company information”. Type in the ASX code “NAB” (National Australia Bank), and find out details about the company. Also, type in the ASX code “ANZ” (Australa & New Zealand Banking Group), and find out the details about that company. Information available in the ASX website will be inadequate for your purpose, you will need to search the internet for more information. Your task will be to get the opening prices of NAB and ANZ shares for every quarter from January 2011 to December 2019 (unadjusted prices). If you are retrieving the monthly prices, read the values in the beginning of every Quarter (January, April, July, October) for every year from 2011 to 2019 (Total 36 observations). After you have researched share prices, answer the following questions:
 List all the quarterly opening price values in two tables, one for NAB and the other for ANZ. Then construct a stemandleaf display with one stem value in the middle, and NAB leaves on the right side and ANZ leaves on the left side. (Must use EXCEL or similar for the plot.) 1 mark
 Construct a relative frequency histogram for NAB and a frequency polygon for ANZ on the same graph with equal class widths. Use two different colours for NAB and ANZ. Graph must be done in EXCEL or similar software. 1 mark
 Draw a bar chart of market capitals (or total assets) in 2019 (in million Australian dollars) of 6 companies listed in ASX that trade in similar products or do similar business as NAB or ANZ with at least AUD 500 million in market capital. Graphs must be done in EXCEL or with similar software. 1 mark
 If one wishes to invest in NAB or ANZ, what is the market recommendation (for example, from Morningstar, Fatprophets, InvestSmart, etc.)? If you cannot find the information, what would be your recommendation based on your research of these two companies (trend, P/E ratio, dividend yield, debt and Beta)? 1 mark
Question 2
The table below lists the new motor vehicles sales between January 2016 and December 2016 in 8 Australian states.
New motor vehicles sales by State between Jan 2016  Dec 2016
Month 
State 

NSW 
VIC 
QLD 
SA 
WA 
TAS 
NT 
ACT 

Jan2016 
28392 
22426 
17193 
5208 
7861 
1298 
626 
1509 
Feb2016 
32633 
26782 
18711 
5988 
8725 
1319 
851 
1528 
Mar2016 
35963 
27716 
21470 
6087 
9054 
1515 
1023 
1550 
Apr2016 
29391 
23963 
17753 
5174 
7601 
1313 
969 
1563 
May2016 
32867 
26125 
19565 
5949 
7935 
1503 
1180 
1560 
Jun2016 
43449 
34262 
27270 
7613 
10749 
1853 
1240 
1542 
Jul2016 
30219 
25517 
18445 
5210 
8234 
1389 
831 
1524 
Aug2016 
31788 
27096 
18062 
5785 
8144 
1743 
881 
1519 
Sep2016 
34424 
28766 
19702 
6551 
8668 
2074 
880 
1531 
Oct2016 
31850 
27546 
16870 
5450 
7580 
1937 
713 
1552 
Nov2016 
32955 
28991 
18733 
6259 
7657 
1903 
808 
1570 
Dec2016 
33632 
27065 
19252 
6464 
8026 
1918 
734 
1573 
From the information provided in the table above,
(a) Calculate the mean and standard deviation for each state. 1 mark
 Calculate the Minimum, Q1, Median, Q3 and Maximum values for each state. 1 mark
 Draw a box and whisker plot for the number of new vehicles sales of each state and put them side by side on one graph with the same scale for comparison. (This graph must be done in EXCEL or similar software and cannot be handdrawn.) 1mark
 Discuss the number of new vehicles sales of each state, and the trends in new vehicles sales in different Australian states. 1 mark
Question 3
The Table below is taken from the Australian Bureau of Statistics (ABS) website. It provides data on Australian households with internet access at home from the Household Use of Information Technology Survey.
From the information provided in the table above,
 What is the probability that a randomly selected household lives in South Australia? 1 mark
 What is the probability that a randomly selected household has an internet access in 201213 or 201415? 1 mark
 Given that a household has an internet access in 201011, what is the probability that a randomly selected household lives in New South Wales? 1 mark
 What is the probability that a randomly selected household lives in Victoria and has an internet access in the year 20162017? 1 mark
Question 4
 The local police station found that the speed of vehicles travelling around the suburb in the 60 km/hour zone varies uniformly between 55 km/hour and 62 km/hour. What is the probability that the speed of vehicles will be less than 58 km/hour? 1 mark
 A marketing company is conducting an experiment in which participants are to taste one of two different brands of coffee. Their task is to correctly identify the brand tasted. A random sample of 150 participants is taken and it is assumed that the participants have no ability to distinguish between the two brands.
(i) What is the probability that the sample percentage of correct identifications is greater than 70? 1 mark
(ii) What is the probability that the sample will have between 40% and 50% of the identifications correct? 1 mark
 A survey conducted by Burwood train station found that the average time of train arrival at the station is normally distributed, with a mean of 36 minutes and a standard deviation of 3 minutes. What value does the upper 5% of the time exceed? 1 mark
Question 5
 A family restaurant wants to estimate the mean amount that customers spend on their dinner between Monday and Find the 95% confidence interval estimate of the mean given the following random sample of $131, $118, $95, $110, $105, $65, $84, $123, $80........................................................................................................... 1.5 mark
 A survey conducted by a pharmaceutical company found that the probability of success in the clinical trial is 0.75. Suppose five hundred clinical trials are performed in the study, what is the probability of succeeding in the clinical trial between 275 and 420 times? Use normal approximation of the binomial distribution............................... 1 mark
 An airline company found that 395 out of 800 travellers cancelled their airline bookings after they had selected their flight details. At 0.01 level of significance, is there evidence that the population proportion of travellers who select their flights and cancel their bookings is less than 0.45?........................................................................... 5 mark
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