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Activities sheet for Hypothesis testing sem2 2016
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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

 

 

 

 

If your student number was s 3246579, Age is 23 date of birth 1993

Then your nine numbers would be D

13 , 12 , 14 , 16  ,15 , 17, 19, 23 and 9+3=12

   

 

 

 

 

 

 

 

  1. 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)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

  1. 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.
  1. Test whether the null hypothesis using critical value

H0 : μ ≤ 10  should be accepted or rejected.  Be sure to interpret your answer              (6 marks)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

  1. What is the p-value? ( 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%.

  1. 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)

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

  1. What is the p-value?  ( 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)

 

  1. Describe the difference between a type I and type II error. Give an everyday example of each kind        ( 7 marks)

 

  1. 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)

 

  1. 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)

 

  1.  What is a p-value? How is it used in hypothesis testing? Give some examples   (7 marks)

 

  1. 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:

 

 

 

 

 

 

 

 

 

Category: Education, General
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