Diego took a survey to find out how many students plan to go to a school band concert. there are more than 1,000 students in his school. he selected a sample by asking the first 50 students he met at band practice. which of these statements are true about his sampling method? select all that apply. his sample will probably be biased. his sample will definitely be valid. his sample will probably be random. his sample will probably be invalid. his sample will be a good representation of the student population.

1st and 4th statements are correct choices.

Step-by-step explanation:

We have been given that Diego took a survey to find out how many students plan to go to a school band concert. There are more than 1,000 students in his school. He selected a sample by asking the first 50 students he met at band practice.

We are asked to choose the correct statements about Diego's sampling method.

1. His sample will probably be biased.

As Diego took his sample of participants, who came to band practice and not collected his data from students in different parts of school, so his sample is biased. Diego collected data according to his convenience.

The students, who attended the band practice will not represent the all students of school, therefore 1st statement is true.

2. His sample will definitely be valid.

As Diego's data is not reliable, therefore, his sample can not be valid and 2nd statement is false.

3. His sample will probably be random.

His sample is biased, and a randomly collected data is not biased, therefore, 3rd statement is false as well.

4. His sample will probably be invalid.

As his data does not represent all the population of students of school, so his data is not reliable. As his data sample is not reliable, therefore, his sample is invalid and 4th statement is correct.

5. His sample will be a good representation of the student population.

As Diego took his samples from the students attending the band practice, so his data represents the population of students attending the concert not all the population of students, therefore, 5th statement is false.

step-by-step explanation:

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