(Answered) Three randomly selected students are surveyed as a pilot

Statistics

Three randomly selected students are surveyed as a pilot project for a larger survey to be conducted later. The numbers of ICT devices (laptops, desktops, tablets & mobile phones) in their households are 2, 3, and 10. Consider the values of 2, 3, and 10 to be a population. Assume that samples of size n=2 are randomly selected with replacement from the population of 2, 3, and 10.

(i) List all of the different possible samples, and then find the range in each sample.

(ii) Describe the sampling distribution of the ranges in the format of a table summarizing the probability distribution.

(iii) Describe the sampling distribution of the ranges in the format of a probability histogram.

(iv) Based on the results, do the sample ranges target the population range, which is 10-2 =8?

(v) What do these results indicate about the sample range as an estimator of the population range?

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