Choose the best answer. Also Justify. (a) A study was conducted at a local colle

Question

Choose the best answer. Also Justify. (a) A study was conducted at a local college to analyze the average GPA of students graduated from UMUC in 2016. 100 students graduated from UMUC in 2016 were randomly selected, and the average GPA for the group is 3.5. The value 3.5 is a i (i) statistic ii (ii) parameter iii (iii) cannot be determined (b) The hotel ratings are usually on a scale from 0 star to 5 stars. The level of this measurement is i (i) interval ii (i) nominal iii (iii) ordinal (iv) ratio (c) The quality control department of a semiconductor manufacturing company tests every 100th product from the assembly line. This type of sampling is called: i (i) cluster ii (ii) convenience iii (iii) systematic iiii (iv) stratified

Explanation / Answer

2 a) 3.5 represents the average GPA of a sample of 100 students and therefore, it is a sample characteristic.

So,

This will be statistic.

Option (i) is correct.

b) Hotel ratings can be used to compare between two hotels but the differences of rating is not meaningful. That means it is not necessary that the difference between ratings 1 and 2 would be equivalent to the difference between ratings 2 and 3.

Hence,

We will use ordinal scale of measurement.

Option (iii) is correct.

c) If we test every kth product from the population, this type of sampling is known as systematic sampling.

Here,

k = 100

Hence,

Option (iii) is correct.

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