a) A company wishes to review its distribution operation and from its time sheet records it found that 144 vehicles were loaded in a 24 hour period. A frequency distribution table was prepared from the data as follows:

Time to load (minutes) Number of vehicles 40 up to 50 17 50 up to 60 61 60 up to 70 59 70 up to 80 7

From the above data construct :
i) a frequency histogram.
ii) a frequency polygon.
iii) a cumulative frequency curve (ogive).
iv) From your ogive estimate:

- the median loading time
- the interquatile range and quartile deviation.
- The number of vehicles loaded in under 52 minutes.

Question 2

The frequency distribution shows the times taken by 30 pupils to do their Mathematics homework. Times have been measured to the nearest minute.

Time (min) Frequency

14. 4
24. 8
34. 10
35-44 8

i) Construct a histogram of the data.
ii) Construct a polygon.
iii) Construct a less than cumulative frequency table and draw the corresponding curve. Use your curve to estimate: - the median,
- the lower and upper quartile ages, inter quartile range and quartile deviation. - the percentage of pupil spending more than 30 minutes to do their homework

Question 3

On a certain day, 500 cars were park in the parking lots of a shopping complex. The parking duration of each car (to the nearest minute) is shown in the table below.

...distributions can differ in their means and in their standard deviations. Figure 1 shows three normal distributions. The green (left-most) distribution has a mean of -3 and a standard deviation of 0.5, the distribution in red (the middle distribution) has a mean of 0 and a standard deviation of 1, and the distribution in black (right-most) has a mean of 2 and a standard deviation of 3. These as well as all other normal distributions are symmetric with relatively more values at the center of the distribution and relatively few in the tails.
Figure 1. Normal distributions differing in mean and standard deviation.
The density of the normal distribution (the height for a given value on the x axis) is shown below. The parameters μ and σ are the mean and standard deviation, respectively, and define the normal distribution. The symbol e is the base of the natural logarithm and π is the constant pi.
Since this is a non-mathematical treatment of statistics, do not worry if this expression confuses you. We will not be referring back to it in later sections.
Seven features of normal distributions are listed below. These features are illustrated in more detail in the remaining sections of this chapter.
1. Normal distributions are symmetric around their mean.
2. The mean, median, and mode of a normal distribution are equal.
3. The area under the normal curve is equal to 1.0.
4. Normal distributions are denser in the center and...

...1hr concentration (mg%) |
1 | 15 | 13 |
2 | 26 | 20 |
3 | 13 | 10 |
4 | 28 | 21 |
5 | 17 | 17 |
6 | 20 | 22 |
7 | 7 | 5 |
8 | 36 | 30 |
9 | 12 | 7 |
10 | 18 | 11 |
Mean | 19.20 | 15.60 |
S.D | 8.63 | 7.78 |
1. What are the appropriate hypothesis
2. What are the appropriate procedure to test these hypotheses
3. Conduct the test measure necessary for the problem mentioned.
4. Suppose an α level is used for the test. What is the relationshipbetween the decision reached with the test procedure in #3.
5. Give interference.
1. Ho: there is no difference between two type of aspirin given randomly
Ha: there is a difference between two type of aspirin given randomly
2. The type of method use in this problem is z-test for two mean.
3. PHARMACOLOGY | |
| |
Data |
Hypothesized Difference | 0.05 |
Level of Significance | 0.05 |
Population 1 Sample |
Sample Size | 10 |
Sample Mean | 19.2 |
Population Standard Deviation | 8.63 |
Population 2 Sample |
Sample Size | 10 |
Sample Mean | 15.6 |
Population Standard Deviation | 7.78 |
| |
Intermediate Calculations |
Difference in Sample Means | 3.6 |
Standard Error of the Difference in Means | 3.674307 |
Z-Test Statistic | 0.966169 |
| |
Two-Tail Test |
Lower Critical Value | -1.95996 |
Upper Critical Value | 1.959964 |
p-Value | 0.33396 |
Do not reject the null hypothesis |...

...Foundation in Science
Unit Title
:
Physics I
Year/ Trimester Session
:
:
Year 1 / Trimester 1
2015/05
Lecturer
:
Mr. Chua Lai Choy
Mr. Chin Kong Yew
Additional Questions 3: Kinematics
1. A balloon is 30.0 m above the ground and is rising vertically with a uniform speed when a coin is dropped from it. If the coin reaches the ground in 4.00 s, what is the speed of the balloon?
Solution:-
Initial velocity of coin = speed of balloon, v.
by using the equation
[Answer: 12.1 ms–1]
2. A car and train moves together along two parallel paths at 25.0 ms–1. The car then undergoes a uniform acceleration of -2.5 ms–2 because of a red light and comes to rest. It remains at rest for 45.0 s, then accelerates back to a speed of 25 m s – 1 at a rate of +2.5 ms–2. How far behind the train is the car when it reaches the speed of 25 ms–1, assuming that the train’s speed has remained constant at 25 ms–1.
Solution:-
For the car to stop we used the equation v2=v02 + 2as and v = v0 + at
and
For the car to speed up again,
and time taken,
Total distance moved by car in that time = 125 m + 125 m = 250 m.
Total distance travelled by the train = 25 × (10+45+10) = 1625 m
Therefore the car is (1625 – 250) = 1375 m behind the train.
[Answer: 1375 m]
*3. A fugitive tries to hop on a freight train traveling at a constant speed of 6.0 m/s. Just as an empty box car passes him, the...

...conclusion. You may wish to consider both sides of the argument, but do not waste effort formulating an argument that you consider to be without merit.
Section 1 of the Street Offences Act 1989 provides:
This Act is intended to prevent solicitation for purposes of prostitution in streets and other public places.
Section 2 provides:
It shall be an offence for a prostitute to loiter or solicit in a street or public place for the purposes of prostitution.
Carla, a prostitute, was charged under this section. It was established that from inside a house she had solicited men passing in the street by tapping on the windowpane to attract their attention and then either directly or by signs invited them into the house. Could Carla be convicted?
3 Assume that the NSW parliament wants to prohibit under-age gambling. To this extent it introduces an Act which states: “any person under the age of eighteen years who is found in the vicinity of a betting shop shall be prosecuted and liable to a maximum fine of $500.” Ian is 15 years old and decides to place a bet in a betting shop. He walks in, places a bet and begins to walk out when he is stopped by a police officer. He is questioned and told that he will be charged under the Act. Two weeks later, Ian receives a summons to a Local Court for an offence against the Act. In his defence, Ian’s counsel argues that the he is not guilty of the offence, because when he was apprehended, he was “in” the betting shop, whilst...

...ACCT3708 Week 3Tutorial
Q1. What is the link between audit risk and engagement risk? How does the audit risk model allow the auditor to deal with these risks in the most cost effective manner?
Audit risk is the risk that the auditor gives the wrong opinion – this can either be stating errors when there are none or when there are errors stating that there are none. This risk cannot be eliminated as auditors can only provide a reasonable assurance and not absolute, but instead this can only be managed and reduced to a minimum.
Engagement risk is the risk of the consequences of giving a wrong opinion to occur. Consequences include legal action against the auditor and loss of reputation of the auditor and lower fees charged.
The link between these two risks is that the lower the audit risk, the lower the engagement risk. If the risk of giving a wrong opinion is minimal, so is the risk of facing consequences of making the error.
Reducing audit risk requires more resources to conduct better audits. Auditor must design an audit strategy so that the benefits of reduced engagement risk outweigh additional costs of more auditing. Generally, the risk based auditing approach is used – concentrate on the parts of the financial statements that require more work.
Q2. Discuss the procedures that should be followed and the matters that should be considered when accepting a new audit engagement
The basic audit process is:
Decide whether to accept or decline...

...UNIVERSITI TUNKU ABDUL RAHMAN
Centre
Course
Year/
Trimester
Lecturer
:
:
:
Centre for Foundation Studies
Foundation In Science
Year 1 Trimester 1
Unit Code
Unit Title
Session
:
:
:
FHSC1114
Physical Chemistry
2015/05
:
Ms. Amelia Chiang, Ms. Azlina Banu, Ms. Farhanah, Ms.Gurpreet, Ms. Jamie, Ms.
Lau Mei Chien, Ms. Lily Lee, Ms. Nabilah, Mr. Ng Sweet Kin, Ms. Phang Ying Ning,
Ms. Precilla, Ms. Rachel Tham, Ms. Rajalakshmi, Mr. Sivabalan, Ms. Tan Lee Siew
Tutorial3: Chapter 3 Stoichiometry and Solution Concentration
1.
Balance the following equations:
(a)
(b)
2.
V2O5(s) + CaS(s) CaO(s) + V2S5(s)
GaBr3(aq) + Na2SO3(aq) Ga2(SO3)3(aq) + NaBr(aq)
316.0 g of aluminum sulfide, Al2S3 reacts with 493.0 g of water, H2O. Given the unbalanced
equation as below:
Al2S3(s) + H2O(l) → Al(OH)3(s) + H2S(g)
(a)
Find the excess reactant.
(Ans: H2O)
(b)
Find the mole of the excess reactant that remains after the reaction. (Ans: 14.742 mole)
[Sep 2014]
3.
Consider the reaction below:
2Al(s) + 3I2(s) 2AlI3(s)
(a)
Determine the limiting reagent and the theoretical yield of the product if 1.20 moles of
aluminium and 2.40 moles of iodine are used.
(Ans: 489.218 g)
(b)
Calculate the percentage yield of the product if 450 g of AlI3 is obtained.
(Ans: 91.98%)
4.
A salt solution is produced when 2.9 g of sodium chloride, NaCl dissolved in 200 ml of water.
Calculate the molality (m) of the...

...the control and experimental groups.
* Qualitative: Descriptions and Labels
* Quantitative: counts and measurements
* Discrete: Usually counts of things, restricted set of values
* Continuous: Usually measurements, data can take on any value in an interval
* Nominal measures offer names or labels for certain characteristics
* Ordinal data represents data in an associated order.
* If the data can be ordered and the arithmetic difference is meaningful, the data is interval.
* Ratio data has a meaningful zero point and the ratio of two data points is meaningful.
* Quantitative data is measured on the interval or ratio scale.
* Qualitative data is measured on a nominal or ordinal scale
Chapter 3
* A frequency distribution is a summary technique that organizes data into classes and provides in tabular form a list of the classes along with the number of observations in each class
*
*
* The cumulative relative frequency is the proportion of observations in a particular class and all preceding classes. Below is a cumulative relative frequency distribution for the heart rate data.
* •Time-series – a picture of how data changes over time.
* •Cross-sectional study – a picture of the data at a given moment of time.
* Σ “Capital Letter Sigma” denotes the sum of a set of values
* x is the variable usually used to represent the individual data values.
* n represents the number of...

...play at an advanced level, to funding and support, to scholarships, income, job opportunities) and to status, attention?
For example, women’s ice hockey has become very popular and has grown dramatically in numbers but there have been ongoing problems in terms of practice and playing time, including here in Toronto. Girls and women were often given the most inconvenient times, and had fewer opportunities both in practice and playing opportunities.
Other issues have been around prize money differences based on gender, scholarship availability, wages for playing, opportunities and wages for other related employment (as coaches, trainers, etc.).
2. Past emphasis on women’s bodies as reproductive bodies, not athletic bodies
3. Increasing emphasis on women athletes’ bodies as sexual and less emphasis on performance; importance of appearance & meeting the ideal standard of emphasized femininity
TO DO:
Check out media coverage and depictions of women athletes and compare with men.
Do you notice any differences?
Then consider possible impact that media coverage could have on girls and women in everyday life (for example, on their health, body image, etc).
What about the impact on men’s attitudes and behaviour regarding girls/women?
4. Making change:
a. How can inequality be best addressed?
TO DO:
There has been debate over whether it would be a better strategy to integrate (have co-ed sports) or to have...