Question

Determine the type of sampling used (simple random, stratified, or convenience). a. A soccer coach selects six players from a group of boys aged eight to ten, seven players from a group of boys aged 11 to 12 , and three players from a group of boys aged 13 to 14 to form a recreational soccer team. b. A high school educational researcher interviews 50 high school female teachers and 50 high school male teachersi c. A high school counselor uses a computer to generate 50 random numbers and then picks students whose names correspond to the numbers.

Answer 1

In the given scenarios, the soccer coach used stratified sampling by selecting players from specific age groups. The educational researcher also used stratified sampling by interviewing equal numbers of female and male teachers, while the high school counselor used simple random sampling by generating random numbers to pick students.

Step-by-step explanation:

Determine the Type of Sampling Used

When we talk about sampling methods in statistics, it is crucial to identify the strategy used to select a representative subset of a population. The types of sampling include simple random, stratified, systematic, cluster, and convenience sampling.

1. For the soccer team selection where the coach picks players based on different age groups, this is an example of stratified sampling. The population is divided into subgroups (strata) based on age, and the selection of players from each stratum is done to form a team.
2. For the educational researcher interviewing an equal number of female and male teachers, this is also an example of stratified sampling. The researcher has divided the teacher population into subgroups by gender before conducting the interviews.
3. When a high school counselor generates random numbers to select students, this method is called simple random sampling. Each student in the school has an equal chance of being selected because the numbers generated are random, ensuring each student has an equal opportunity to be chosen.

These methods ensure various portions of the population are represented fairly. Stratified sampling is specifically used when the researcher wants to ensure that certain subgroups within the population are proportionately included in the sample.