Question

Math quick check. Answer all questions correctly.

1. You want to estimate the number of students who bring their lunch to school every day. Which of the following is the best sample for this situation?
A. 50 female students selected at random
B. all members of the Math Club
C. 80 students selected at random during lunch
D. 45 first-year students selected at random

2. A coffee shop owner is interested in determining what people think about the new coffee flavor. Which of the following is the population in this situation?
A. 100 random customers
B. the first 50 customers who bought the new coffee
C. all customers who did not buy the new coffee
D. all customers who bought the new coffee

3. A survey is conducted to determine the most common reason people own a cell phone. A company sent out a survey to customers between the ages of 20 and 30. Based on the responses, the company concluded that people own a cell phone for messaging purposes. Is this conclusion valid?
A. No, because not all people who own a cell phone have the same probability of being selected.
B. Yes, because the sample includes all customers between the ages of 20 and 30.
C. Yes, because the sample includes male and female customers.
D. No, because the sample includes customers of too many different ages.

4. A school principal wants to know the average number of extracurricular activities students in her school are involved in. She assigned each student a number from 1 to 415. Using a random number generator, she selected 200 students to be part of the sample. She concluded that students are involved in an average of two extracurricular activities. Is the principal’s conclusion valid?
A. No, because not all students in the sample have extracurricular activities.
B. No, because 200 students in the sample is too large.
C. Yes, because only those who have extracurricular activities were included in the sample.
D. Yes, because every student had an equal chance to be part of the sample. The sample size also appears to be large enough.

Remember: Only pick 1 correct answer per question. Options are A, B, C, Or D

Answer 1

Here are the correct answers for each question:

1. **C. 80 students selected at random during lunch** - This option gives a broader representation of the student body as it includes a random sample during lunch, when many students are likely to have their lunch.

2. **D. all customers who bought the new coffee** - The population in this scenario is all customers who purchased the new flavor since the owner wants to know their opinions.

3. **A. No, because not all people who own a cell phone have the same probability of being selected.** - The sample is limited to a specific age group, making it unrepresentative of the general population of cell phone owners.

4. **D. Yes, because every student had an equal chance to be part of the sample. The sample size also appears to be large enough.** - The method of random selection gives every student an equal chance of being chosen, and a sample size of 200 is considered adequate for making conclusions about the population.