65 6.1 Activity 14: One Sample Confidence Intervals Objective: The purpose of this activity is to practice the construction and interpretation of a confidence interval from student collected data. Topics covered: 1. One sample confidence interval for the population proportion 2. Independence of events Suppose we would like to answer the following question: "If everyone made their own paper airplane, what proportion of them would travel over 9 feet on their first flight?" 1. What would be your guess for the true proportion of paper airplanes that would travel over 9 feet on their first flight? 0-13 -13 メ - sah -30% %3D 2. Now, using a provided piece of paper, make your own paper airplane. 3. From your class, how many airplanes traveled over 9 feet on their first throw? 4. What is the sample proportion of airplanes that traveled over 9 feet on their first throw? What do we use this value to estimate? 5. Compute the margin of error for a 95%) confidence interval for the true proportion of paper airplanes that travel over 9 feet on their first flight. .5 2. 99 6. Compute and interpret a 95% confidence interval for the true proportion of paper airplanes that travel over 9 feet on their first flight. 2. 7. Based on the interval, do you believe you made a good guess in (1)? Explain. no. no. 8. Have the sample size assumptions been met? Explain. No, We dont have There Fore atlecst lo Pc3S and lo Fails is Not Met 9. The count you found in (3) is a binomial random variable if certain assumptions hold. One of those assumptions is that the trials (each toss of the paper airplane) are independent. For this setting, do you believe the assumption of independent trials hold? Explain. 10. If you were to throw your airplane 30 times, do you believe the "trials" are independent? Explain.

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Chapter10: Statistics
Section10.4: Distributions Of Data
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8 out of 21 people made it past 9 ft 

65
6.1 Activity 14: One Sample Confidence Intervals
Objective: The purpose of this activity is to practice the construction and interpretation of a confidence
interval from student collected data.
Topics covered:
1. One sample confidence interval for the population proportion
2. Independence of events
Suppose we would like to answer the following question: "If everyone made their own paper airplane,
what proportion of them would travel over 9 feet on their first flight?"
1. What would be your guess for the true proportion of paper airplanes that would travel over 9
feet on their first flight?
0-13
-13
メ - sah
-30%
%3D
2. Now, using a provided piece of paper, make your own paper airplane.
3. From your class, how many airplanes traveled over 9 feet on their first throw?
4. What is the sample proportion of airplanes that traveled over 9 feet on their first throw? What
do we use this value to estimate?
5. Compute the margin of error for a 95%) confidence interval for the true proportion of paper
airplanes that travel over 9 feet on their first flight.
.5
2.
Transcribed Image Text:65 6.1 Activity 14: One Sample Confidence Intervals Objective: The purpose of this activity is to practice the construction and interpretation of a confidence interval from student collected data. Topics covered: 1. One sample confidence interval for the population proportion 2. Independence of events Suppose we would like to answer the following question: "If everyone made their own paper airplane, what proportion of them would travel over 9 feet on their first flight?" 1. What would be your guess for the true proportion of paper airplanes that would travel over 9 feet on their first flight? 0-13 -13 メ - sah -30% %3D 2. Now, using a provided piece of paper, make your own paper airplane. 3. From your class, how many airplanes traveled over 9 feet on their first throw? 4. What is the sample proportion of airplanes that traveled over 9 feet on their first throw? What do we use this value to estimate? 5. Compute the margin of error for a 95%) confidence interval for the true proportion of paper airplanes that travel over 9 feet on their first flight. .5 2.
99
6. Compute and interpret a 95% confidence interval for the true proportion of paper airplanes that
travel over 9 feet on their first flight.
2.
7. Based on the interval, do you believe you made a good guess in (1)? Explain.
no.
no.
8. Have the sample size assumptions been met? Explain.
No, We dont have
There Fore
atlecst lo Pc3S and lo Fails
is Not Met
9. The count you found in (3) is a binomial random variable if certain assumptions hold. One of
those assumptions is that the trials (each toss of the paper airplane) are independent. For this
setting, do you believe the assumption of independent trials hold? Explain.
10. If you were to throw your airplane 30 times, do you believe the "trials" are independent? Explain.
Transcribed Image Text:99 6. Compute and interpret a 95% confidence interval for the true proportion of paper airplanes that travel over 9 feet on their first flight. 2. 7. Based on the interval, do you believe you made a good guess in (1)? Explain. no. no. 8. Have the sample size assumptions been met? Explain. No, We dont have There Fore atlecst lo Pc3S and lo Fails is Not Met 9. The count you found in (3) is a binomial random variable if certain assumptions hold. One of those assumptions is that the trials (each toss of the paper airplane) are independent. For this setting, do you believe the assumption of independent trials hold? Explain. 10. If you were to throw your airplane 30 times, do you believe the "trials" are independent? Explain.
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