GIVE TYPED WRITING SO I CAN UNDERSTAND CLEARLY.

IF YOU CANNOT TYPE,PLEASE PROVIDE NEAT AND CLEAR HANDWRITING.DO NOT GIVE BLUR AND CLUMSY WRITING.IT IS HARD FOR ME TO UNDERSTAND.

Kindly give accurate and correct answers.Kindly give step by step working.Do not skip steps. Mention and be very clear about the formula and conversion

.Then,explain to support and prove the working and answers.I do not really understand.I hope you can help me to understand.Explain how you get the answers and about each working.

STA JUNE 2019

QUESTION 1 a) State whether the following statements are TRUE or FALSE. D Descriptive statistics makes inferences and predictions about a population based on a sample data taken from the population. A summarized values taken from a population is called statistics. A stratified sampling is a technique where the researcher divides the population into subgroups and randomly select samples from the subgroups. iv) Primary data is a data collected by the investigator himself/herself for a specific purpose. (4 marks) b) An administrator wants to assess the reactions of employees to a new and improved health benefits scheme that requires a modest increase in the premiums to be paid by the employees for their families. The company has five departments with 1500 employees. He randomly selects a total of 500 employees representing all departments proportionately. Table below shows the number of employees in each department Department Number of employees Marketing 390 Finance 255 Operations 405 Human Resource 300 Information Technology 150 State the population and sample of the study. Identify the variable of interest and state its level of measurement. in) Name the most appropriate sampling technique that can be used. Give ONE (1) advantage of this technique. iv) State the type of data used in this study. (8 marks)QUESTION 2 The hours spent for watching television in a week by 35 teenagers are shown below: 14 20 17 36 31 20 17 13 11 25 28 22 ONON 6 10 16 31 15 18 17 20 22 a) Draw a stem and leaf plot and comment the shape of distribution. (4 marks) b) Calculate the mean and standard deviation for the above data. (5 marks) c) Find the modal value of data and explain its meaning. (3 marks) QUESTION 3 The following table shows the number of computer terminals produced by the Alif Corporation company for a sample of 30 days. Number of computer terminals Number of days 20 - 24 25 - 29 30 - 34 35 - 39 40 - 44 6 a) Calculate the mean and standard deviation for the above data. (5 marks) b) Draw a 'less than' ogive. (4 marks) c) From the 'less than' ogive, estimate the median value and interpret the value. (3 marks) d) The mean and variance of the number of computer terminals produced by Adam Corporation are 40 and 35, respectively. Using an appropriate measure, determine which company shows a more dispersed production.