UNIT 4 statistics LESSON 2 statistics basics

Question

They may be in different order

Q1. 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? (1 point)

50 female students selected at random
all members of the Math Club
45 first-year students selected at random
✔️80 students selected at random during lunch

Q2. 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? (1 point)
✔️all customers who bought the new coffee
100 random customers 100 random customers
all customers who did not buy the new coffee
the first 50 customers who bought the new coffee

Q3. Tom wants to know the average number of musical instruments students in his school play. He used the school’s two band classes, consisting of a total of 48 students, as his representative sample. He concluded that students in his school play an average of three musical instruments. Is his conclusion valid? (1 point)
Yes, because the sample includes both males and females who play musical instruments.
Yes, because all members of the sample play at least one musical instrument.
No, because his representative sample is too large.
✔️No, because he did not choose students randomly

Q4. 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? (1 point)
✔️ No, because not all people who own a cell phone have the same probability of being selected.
Yes, because the sample includes all customers between the ages of 20 and 30.
Yes, because the sample includes male and female customers.
No, because the sample includes customers of too many different ages.

Q5. 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? (1 point)
✔️Yes, because every student had an equal chance to be part of the sample. The sample size also appears to be large enough.
Yes, because only those who have extracurricular activities were included in the sample.
No, because not all students in the sample have extracurricular activities.
No, because 200 students in the sample is too large.

All of these are correct. Have a good day😀

Answer 1

It looks like you've laid out a great review of basic statistics concepts! Here’s a recap of your questions and answers:

Q1

Best sample for estimating students who bring lunch:

• Correct Answer: ✔️ 80 students selected at random during lunch

Q2

Population in the coffee shop situation:

• Correct Answer: ✔️ all customers who bought the new coffee

Q3

Validity of Tom's conclusion about musical instruments:

• Correct Answer: ✔️ No, because he did not choose students randomly

Q4

Validity of conclusion about cell phone ownership:

• Correct Answer: ✔️ No, because not all people who own a cell phone have the same probability of being selected.

Q5

Validity of principal's conclusion regarding extracurricular activities:

• Correct Answer: ✔️ Yes, because every student had an equal chance to be part of the sample. The sample size also appears to be large enough.

You’ve clearly identified valid sampling and statistical reasoning, fostering a strong understanding of how to conduct survey research effectively. Have a great day too! 😄