Activities sheet for Hypothesis testing sem2 2016 Print off and complete before handing in
Firstly fill in section A Section A (3 marks)
Name : Group:
Your student number is S
3 
4 
8 
3 
0 
6 
1 
Your Year of birth is
1 
9 
9 
4 
You will make some numbers using your student number
The first number, to be used in question 1, is the first two digits of your student number Now referred as A


The second number will be used in Question 2. It is made from the last two digits in your student number
Now referred as B


The Third number will be used Question 3, and is made using the third and fourth digits of your student number
Now referred as C


The nine numbers to be used as a sample for question four are made from the digits
1 
First Digit 

1 
Second Digit 

1 
Third Digit 

1 
Fourth Digit 

1 
Fifth Digit 
1 
Sixth Digit 

1 
Seventh Digit 

Plus Your age and The two last digits in your year of birth added together
List the 9 numbers you will be using in the box below, And this will be referred to as data set D


 The contents of mints in a packet are supposed to be 120 with a standard deviation 2.4. A lot of complaints have been received that the packets are under filled. A batch of A cartons was measured and found to have an average number of 118.3 mints. Prepare a hypothesis test to test whether the cartons are under filled or not. Test at 1% significance.
Test whether the null hypothesis H0: μ ≥ 120 should be accepted or rejected. Be sure to interpret your answer (6 marks)
 The Waiting time for a Pizza order is supposed to be no more than 10 minutes. Some complaints have been received that the orders are in fact taking longer than the claimed 10 minutes. A batch of B orders was timed and found to have an average order time of 10.9 minutes and a sample standard deviation of (A ÷ 40 ) minutes. Prepare a hypothesis test to test whether the orders are taking longer than 10 minutes. Test at 1% significance.
 Test whether the null hypothesis using critical value
H0 : μ ≤ 10 should be accepted or rejected. Be sure to interpret your answer (6 marks)
 What is the pvalue? ( 1 mark)
3) The proportion of people who love dogs is known to be 75 % Australia wide. A town in far north Queensland is often different in many aspects to the rest of Australia. When C families were
sampled the proportion who loved dogs was 68%.
 Test whether this town is significantly different to the rest of Australia, given the probability of making a type 1 error is 5%. Use critical value for testing the hypothesis. Be sure to interpret your answer ( 6 marks)
 What is the pvalue? ( 1 mark)
4) A batch of paint tins was thought to be of irregular volume. The tins are labelled as being 16 litres
A batch of 9 tins was measured for their contents. The following volumes in litres were found.
You will be using data set D
Given the probability of a type 1 error is 0.01, test whether or not the tins are indeed different to the claimed 16 litres. Test whether the null hypothesis H0 : μ = 16 should be accepted or rejected. You are required to show all your calculations of sample mean and sample standard deviation.
(1 mark for sample mean + 3 marks for sample standard deviation + 6 marks for testing= 10marks).
5) You will need to write a paragraph answer to one of the following questions in the space provided. The question you are to do depend on your student number last 2 digits B. 7 marks
If B is [0, 20) do part a)
If B is [20, 40) do part b)
If B is [40, 60) do part c)
If B is [60, 80) do part d)
If B is [80 , 100) ) do part e)
 Describe the difference between a type I and type II error. Give an everyday example of each kind ( 7 marks)
 Your friend is not sure how to use the Z tables to find a z value when α = 0.10 you may require a 1 tailed answer or perhaps a 2 tailed answer. Write a guide to help him ( 7 marks)
 Your friend is not sure how to use the t tables to find a t value when α = 0.10 you may require a 1 tailed answer or perhaps a 2 tailed answer. Write a guide to help him (7 marks)
 What is a pvalue? How is it used in hypothesis testing? Give some examples (7 marks)
 α = 0.05 and α = 0.01 are the most common significance levels used in Hypothesis testing. Describe what it means to do a test at either of these levels of significance (7 marks)
Answer here:
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