( 25 marks ) A psychologist wants to determine how many hours per week amp; - 10 year old boys in Toronto send playing video and computer games ....

Survey Sampling Methods/Theory Question based on 2 stage cluster sampling

Please solve all the questions below the image. Please no short cuts in any of the questions

There are 3 parts to this question and need solutions for all of them for 6 (b), (c), (d)

(b) (5 marks) Comment on the condition of the design "...for a calendar week ...". Would the

selection of a "calendar week" affect the results of the study?

(c) (8 marks) (i) Estimate the total number of hours spent by 8-10 year old Toronto boys

during a week on video and computer games. (ii) Is your estimator in (i) unbiased?

Explain.

d) (7 marks) Do you expect that your estimator would be more precise or less precise than

an estimator based on a simple random sample of the same size (60)? Explain how you

would compare the precision of cluster sampling with that of simple random sampling.

6 . ( 25 marks ) A psychologist wants to determine how many hours per week & - 10 year old boysin Toronto send playing video and computer games . To investigate this he randomly selectsthree Toronto elementary schools from the population of 230 elementary schools in Toronto ,and then randomly selects twenty 20 ) 8 - 10 year old boys from each school . With the parentshelp , he has each of the sampled boys record their video and computer game time for acalendar week in hours . The results are presented in the following tableSchoolNumber ofSample SampleSample8 - 10 year old boys sizemean I standard deviationA3503215B2002O50201 1