Download AP Statistics Assignment - Tenth Chapter (In Class work is in

AP Statistics Assignment - Tenth Chapter (In Class work is in parenthesis)
Page
616
624
6.32
637
648
657
663
669
672
Assignments
Videos
https://www.youtube.com/watch?v=DSYPMs1jSN0
Means or Proportions?
Activity 10A: Good books
(10.2, 10.4, 10.6), 10.1, 10.3, 10.5
https://www.youtube.com/watch?v=CAZmr0kx2WQ
(10.8, 10.10, 10.12), 10.7, 10.9, 10.11 https://www.youtube.com/watch?v=gR8pHFZ4pYw
https://www.youtube.com/watch?v=8sR1iTQAbrY
(10.14, 10.18), 10.13, 10.15, 10.17
http://stattrek.com/estimation/confidenceinterval.aspx?Tutorial=AP
(10.28, 10.32), 10.27, 10.31)
https://www.youtube.com/watch?v=5ABpqVSx33I
(10.33, 10.34), 10.35, 10.36
Activity 10D: Give me a kiss!
(10.46, 10.48), 10.45, 10.49
https://www.youtube.com/watch?v=vWFdiGg7f6k
(10.52, 10.56), 10.53, 10.55
https://www.youtube.com/watch?v=pvW3FG5-dY8
Tenth Chapter Vocabulary
Page
Word
627
conditions for constructing a confidence interval for μ
643
conditions for inference about a population mean
666
conditions for inference about a proportion
667
confidence interval for a population proportion
617
confidence intervals
621
confidence level
621
margin of error
646
one-sample t interval
651
paired t procedures
654
robust
635
sample size for a desired margin of error (means)
671
sample size for a desired margin of error (proportions)
617
significance tests
643
standard error
617
statistical inference
643
t distribution
Chapter 10
Quiz 10.1A
Quiz 10.1A
AP Statistics
Name:
Suppose you administer a certain aptitude test to a simple random sample of 9 students in your school, and that
the average score is 105. From past experience, scores on such a test among students like those at your school
follow a Normal distribution. We want to determine the mean score µ of the population. Assume a standard
deviation of  = 15 for the test.
1. What is the upper critical value for a 98% confidence interval? (Show the key numbers in the sketch of the
distribution.)
. 50
2. Construct and interpret a 98% confidence interval for
mean score µ. Follow the Inference Toolbox.
the
- 3. 0
3 .0
- . 50
3. Explain the meaning of “98% confident.”
4. What sample size would be needed to have a margin of error of at most 4 points (still with 98%
confidence)? Show your work.
Chapter 10
Quiz 10.1A
Quiz 10.1B
AP Statistics
Name:
Suppose your class is investigating the weights of Snickers 1-ounce Fun-Size candy bars to see if customers are
getting full value for their money. Assume that the weights are Normally distributed with standard deviation 
= 0.005 ounces. Several candy bars are randomly selected and weighed with sensitive balances borrowed from
the physics lab. The weights are
0.95 1.02 0.98 0.97 1.05 1.01 0.98 1.00
ounces. We want to determine a 90% confidence interval for the true mean, µ.
. 50
1. Determine z*. (Show your work, including a sketch of the distribution.)
2. Calculate and interpret a 90% confidence interval for the mean
candy bars. Follow the Inference Toolbox.
weight of the
- 3. 0
3 .0
- . 50
3. Explain the meaning of the confidence level.
4. Determine the sample size you would need to estimate µ within 0.001 at a 90% confidence level.
Chapter 10
Quiz 10.1A
Quiz 10.2A
AP Statistics
Name:
National Fuelsaver Corporation manufactures the Platinum Gasaver, a device they claim “may increase gas
mileage by 22%.” Here are the percent changes in gas mileage for 15 identical vehicles, as presented in one of
the company’s advertisements:
48.3 46.9 46.8 44.6 40.2 38.5 34.6 33.7 28.7 28.7 24.8 10.8 10.4 6.9  12.4
1. Construct and interpret a 90% confidence interval to estimate the mean fuel savings in the population of all
such vehicles. Follow the Inference Toolbox.
2. Explain what “90% confidence” means in this setting.
3. Comment on the manufacturer’s claim based on your work in Question 1.
Chapter 10
Quiz 10.1A
Quiz 10.2B
AP Statistics
Name:
About 42,000 high school students took the AP Statistics exam in 2001. The free-response section of the exam
consisted of five open-ended problems and an investigative task. Each free-response question is scored on a 0 to
4 scale (with 4 being the best). A random sample of 25 student papers yielded the following scores on one of the
free-response questions:
1 0 1 0 0 0 3 1 1 1 0 2 0 0 2 1 1 0 2 4 1 0 2 0 3
1. Is a sample of 25 papers large enough to provide a good estimate of the mean score of all 42,000 students on
this exam problem? Justify your answer.
2. Do you think the population of scores on this question is Normally distributed? Explain why or why not.
3. Construct and interpret a 95% confidence interval for the mean score on this exam question. Follow the
Inference Toolbox. Be sure to explain why it’s okay to calculate the interval in light of your answer to
Question 2.
Chapter 10
Quiz 10.1A
Quiz 10.3A
AP Statistics
Name:
A New York Times poll on women’s issues interviewed 1025 women randomly selected from the United States,
excluding Alaska and Hawaii. The poll found that 47% of the women said they do not get enough time for
themselves.
1. The poll announced a margin of error of ±3 percentage points for 95% confidence in its conclusions. Do you
agree with this margin of error? If so, explain why. If not, tell why not.
2. What is the 95% confidence interval from this poll result? Interpret the interval in context.
3. What conditions must be met in order for the confidence interval in Question 2 to be valid? Check whether
each of those conditions is satisfied in this case.
4. Explain to someone who knows no statistics why we can’t just say that 47% of all adult women do not get
enough time for themselves.
5. Explain clearly what “95% confidence” means.
Chapter 10
Quiz 10.1A
Quiz 10.3B
AP Statistics
Name:
A news article on a Gallup Poll noted that “28 percent of the 1548 adults questioned felt that those who were
able to work should be taken off welfare.” The article also said, “The margin of error for a sample size of 1548
is plus or minus three percentage points.”
1. Opinion polls usually announce margins of error for 95% confidence. Using this fact, explain to someone
who knows no statistics what “margin of error plus or minus three percentage points” means.
2. Do you agree with the margin of error stated in the poll results? If so, explain why. If not, tell why not.
3. What is the 99% confidence interval from this poll? Interpret the interval in context.
4. What conditions must be met in order for the confidence interval in Question 3 to be valid? Check whether
each of those conditions is satisfied in this case.
5. This poll was conducted by telephone. Explain how undercoverage could lead to a biased estimate in this
case.
Chapter 10
Quiz 10.1A