Calculate the variability of production for the two factories and hence comment on your result.

INSTRUCTIONS TO CANDIDATES

ANSWER ALL QUESTIONS

QUESTION 1

 (a)   The monthly production of factories A and B in thousands of units are as follows: 

A:        23        30        28        31        29        26        34        36        28

B:         53        65        70        50        62        58        52        63        69 

Calculate the variability of production for the two factories and hence comment on your result. [6 marks] 

(b)   The probability that a man now aged 59 years will be alive in 2017 is 0.625 while the probability that his wife now aged 57 years will be alive is 0.833. Determine the probability that in 2017:

(i)    Both will be alive;

(ii)   At least one of them will be alive;

(iii)   The only wife will be alive.

[4 marks]

 (c)   The table below shows the percentage turnover of a labour force of company Y over a four-year period. 

	Percentage Turnover of Labour force
	Quarter
Year	1	2	3	4
2000	11	23	16	8
2001	14	29	16	9
2002	18	34	17	9
2003	19	42	23	12

 (i)   Smoothe this time series by means of a centred four-quarterly moving average.

(ii)  Calculate the average seasonal variations using an additive model.

 [4+6 marks]

 

TOTAL = 20 MARKS

QUESTION 2

150 new recruits to a large organistation were divided at random into 5 groups of 30. The groups were given different lengths of training in the use of equipment and then were tested on their competence in using that equipment. The average competence score per group, y, is measured out of 100, with higher scores indicating greater average competence. The data is summarised in the table given below.

 

 

 

 

 

 

 

 

 

 

 

(a) Find the least squares regression line for mean competence score regressed on number of days of training. [8 marks]

(b) Interpret the regressionequationobtained in part (a). [3 marks]

I Estimate the meancompetence score for :

(i) 7 days of training; [2 marks]

(ii) 19 days of training. [2 marks]

(d) Compute the PPMC coefficient for the above data and interpret your result.    [5 marks]

TOTAL = 20 MARKS

Attachments:

Related Questions

. The fundamental operations of create, read, update, and delete (CRUD) in either Python or Java

CS 340 Milestone One Guidelines and Rubric  Overview: For this assignment, you will implement the fundamental operations of create, read, update,

. Develop a program to emulate a purchase transaction at a retail store. This  program will have two classes, a LineItem class and a Transaction class

Retail Transaction Programming Project  Project Requirements:  Develop a program to emulate a purchase transaction at a retail store. This

. The following program contains five errors. Identify the errors and fix them

7COM1028   Secure Systems Programming   Referral Coursework: Secure

. Accepts the following from a user: Item Name Item Quantity Item Price Allows the user to create a file to store the sales receipt contents

Create a GUI program that:Accepts the following from a user:Item NameItem QuantityItem PriceAllows the user to create a file to store the sales receip

. The final project will encompass developing a web service using a software stack and implementing an industry-standard interface. Regardless of whether you choose to pursue application development goals as a pure developer or as a software engineer

CS 340 Final Project Guidelines and Rubric  Overview The final project will encompass developing a web service using a software stack and impleme