Question

1. A sample of 98 students graduating from NCC is used to collect the following data concerning students graduating from NCC: • Number of semesters of attendance at NCC Zip code of home • Town of residence Commuting time to school . a. [4 pts) Indicate in the table below which of the variables are qualitative or quantitative. For quantitative variables indicate if they are discrete or continuous. Quantitative Quantitative Qualitative Discrete Continuous Number of semesters of attendance at NCC Zip code of home Town of residence Commuting time to school b. [3 pts) Label each of the following sampling methods as a convenience sample, or a random sample, or a systematic sample, or a stratified sample, or a cluster sample: You sample among men and then among women You put names in a hat, and pull out 10 names You stand at the entrance to NCC and ask the first 10 people who arrive

Answer 1

Solution:-

(1)

a)

Number of semesters of attendance at NCC :-

It can be counted into a definate numbers.

So, it must be discrete Quantitative varibale.

Zip code of home:-

It takes number having few digits. But is catorogerize the people.So, it can be qualitave or catogorial variable

So, it is a qualitative varibale.

Town of residence:-

It's an address which is qualitative variable.

So, it is a qualitative variable.

Commuting time to school:-

It is fixed time.So, it is quantitative variable .Since time is always continous.So, it is continous quantitative variable.

Hence,

	Qualitative	Quantitative Discrete	Quantitative Continous
Number of semesters of attendance at NCC		✓
Zip code of home	✓
Town of residence	✓
Commuting time to school			✓

b)

Types of sample--

I)You sample among among men and then women:-

Since it involves split of population inti two groups based ob sex.So, it is stratified sample (Here, groups are not divided into sub groups .So, don't mistake it as cluster sample).

Hence, it is stratified sample.

II)You put names in a hat and pull out 10 names:-

Since each hat have equal chances to be drawn.

So, it is a random sample.

Hence, it us an random sample.

III)You stand at the entrance to NCC and ask the first 10 people who arrive:-

Since it is based on convenience (those who are arrive first are given chance).So, it convenience sample.

​​​​​​Hence, it is an convenience sample.