VALLEYFAIR – AP STATISTICS x ...



Data Gathering – BRING THIS PAGE ONLY to Valleyfair and do BOTH Sides!!

NOT going to VF??? Negotiate –NOW –with someone who IS, so you can use their data.

AP STATISTICS @ Valleyfair! X__________________________________________Per.___

FIRST, read all problems ON BOTH SIDES--You might gain some efficiency in data gathering. Just gather data today - worry about data analysis & answering each question in class tomorrow.

1-2) Waiting in line for a sweet ride...rots! With 90% confidence, estimate the mean # of people who are in the waiting line for a VF ride. Record BOTH time of day (in MINUTES since 10:00 am) and # of ppl in line. Use n =7.

The CORRECT | OK, my ACTUAL sampling method:

sampling |

method: |

|

|

|Ride Name & Type (coaster, wheel, etc) |MIN. since 10am |# of people in line |

|1 | | |

|2 | | |

|3 | | |

|4 | | |

|5 | | |

|6 | | |

|7 | | |

3-4) Besides sweet rides, Valleyfair has sweet snacks…and has sweeties!

3) Is there a gender-related difference in VF food/drink consumption?

Use statistical evidence to support your answer. (think! make sure samples are a “proper” size!)

The CORRECT | OK, my ACTUAL sampling method:

sampling |

method: |

|

3a) Tally area for gathering data:

| |Females |Males |Totals |

|Carrying a VF food/drink | | | |

|item | | | |

| | | | |

| |total: |total: | |

|Not carrying a VF | | | |

|food/drink item | | | |

| | | | |

| |total: |total: | |

|Totals | | | |

(Go on to other side)

5) Generate your own original RESEARCH QUESTION. Consider: What do you see at VF that you might care to estimate? Perhaps to test? Wondering about a relationship between _____ and _____? Look around. Think. And then decide.

5a) My/our research question is:

5b) What statistical procedure(s) do you plan to eventually use in answering your question?

5b) What data do you need to gather? How will you gather it?

5c) My organized original data:

Let’s worry about data analysis & answering all questions when we return to class tomorrow.

AP STATISTICS @ Valleyfair! x___________________________________________Per.___

I __DID __DIDN’T attend VF. I ‘m using ______________________________________’s data.

1-2) Waiting in line for a sweet ride is ICKY! With 90% confidence, estimate the mean # of people who are in the waiting line for a VF ride. Record BOTH time of day (in MINUTES since 10:00 am) and # of ppl in line.

1a) sample data: 7 _____________ rides 1b) assess normality:

|Ride Name & Type (coaster, wheel,|MIN. since |# of people |

|etc) |10am |in line |

|1 | | |

|2 | | |

|3 | | |

|4 | | |

|5 | | |

|6 | | |

|7 | | |

1c) Confidence interval formula & calculations:

(note: with 90%confidence and 6 df., t* = 1.943)

w/symbols: _______ ± (_______)(________) ppl.

w/numbers: _______ ± (_______)(________) ppl.

In MOE form: _________ ± __________ ppl.

in endpnt. form: ( ___________ , __________ ) ppl.

2) Is there a relationship b/w time (since 10 am) and the # people in a VF wait line?

2a) Scatterplot data. Scale your axes!

# in line

|

|

|

|

|

|

|

|

_|____|____|____|____|____|____|____|____|____|____|____|____|____| Min. since 10 am.

2b) What specific inference procedure b) _______________________________________

would answer the question?

2c) Run the correct procedure. Key Results/p value/Conclusion:______________________

____________________________________________________________________________________

2d) Name at least two confounding variables in this situation:

3-4) Besides sweet rides, Valleyfair has sweet snacks…and sweeties!

3) Is there a gender-related difference in VF food/drink usage? Use statistical evidence to support your answer.

(make sure samples are a “proper” size!)

3a) Tally area for gathering data:

| |Females |Males |Totals |

|Carrying a VF food/drink | | | |

|item | | | |

| | | | |

| |total: |total: | |

|Not carrying a VF | | | |

|food/drink item | | | |

| | | | |

| |total: |total: | |

|Totals | | | |

3b) Our parameter of interest is:

___________________________________________________________________________________

3c) Ho:

Ha:

___________________________________________________________________________________

3d) Assumptions/conditions/requirements:

____________________________________________________________________________________

3e) Name of procedure:

____________________________________________________________________________________

3f) Test statistic( w/o numbers, w/numbers, final value)

____________________________________________________________________________________

3g) P-value & sketch:

____________________________________________________________________________________

3h) Conclusion:

4) Last year, 24% of people at VF could be seen carrying or eating a food/drink item. Is that percentage significantly different this year? Use statistical evidence to support our answer. (make sure n is a “proper” size!)

4a) Our parameter of interest is:

4b) Ho:

Ha:

___________________________________________________________________________________

4c) Assumptions/conditions/requirements:

____________________________________________________________________________________

4d) Name of procedure:

____________________________________________________________________________________

4e) Test statistic( w/o numbers, w/numbers, final value)

____________________________________________________________________________________

4f) P-value & sketch:

____________________________________________________________________________________

4g) Conclusion:

Do back side also!

5a) My/our research question was:

5b) What statistical procedure(s) did you plan to eventually use in answering your question?

5b) What data did you gather? How did you gather it?

5cd) My organized original data and my analysis/procedure:

5e) Conclusion (the answer to your research question!)

Further thoughts on kids’ self-determined amusement park projects, courtesy of Floyd ‘Guru’ Bullard:

-----Original Message-----

From: Bullard, Floyd [mailto:bullard@ncssm.edu]

Sent: Wednesday, April 30, 2008 8:58 AM

To: AP Statistics

Subject: RE: [ap-stat] field trip idea

Paula et al,

Now that the students have learned all the material in the AP syllabus,

I would recommend that you have them design their own studies, data to

be collected at the amusement park. They'll need guidelines, naturally,

and it would probably be good to give them two-three days of class time

prior to the trip to plan and discuss their studies under your

supervision. But in groups of 2-4, I think they should be able to

design and conduct studies that would be of interest to them, using

various tools of the course, and they'll feel more invested in it than

if you design their study, and they'll probably learn more too.

As for the guidelines, I'd suggest that you make it clear how much time

you expect them to spend in preparation and afterwards, how much data

they should collect, and (most importantly) what you expect them to turn

in when they're done--probably a short report with separate sections

stating the purpose of their study, their method of data collection,

showing the data in an appropriate graphical way, clearly analyzing

their data, and reaching a conclusion in context. Perhaps an appendix

could contain their raw data and calculations.

You might also want to give them an example of a study, but making it

clear that it is only an example and that they are to do something

themselves that they would enjoy. Giving an example runs the risk of

stifling their creativity, but sometimes it's a good idea if they're

otherwise just clueless. Your example might be something that people

have suggested on the listserv already, or something like the study I

briefly describe below, inspired by something I saw on "Fetch! with Ruff

Ruffman", a PBS show akin to 3-2-1 Contact, a science show I enjoyed as

a kid.

* * * * *

Research question: "Which is the wilder ride: the Loch Ness Monster or

the Griffon?" Method of measuring wildness: Take a Styrofoam cup and

mark centimeters on the inside starting at the top and going down. Glue

it to the inside of a small box that's a few inches taller than the cup.

Fill the cup with confetti and close the lid of the box. Take the

device on the ride and hold it steady. After the ride, see what the

level of the confetti is in the cup--that's the wildness of the ride.

Method of data collection: All four of us will ride both rides four

times each, with the order of the rides randomized by mixing up four red

and four black confetti squares and shaking them up and drawing them

from our cup at random--red for Griffon, black for LN Monster. Each

time, a different one of us (determined at random, natch!) will hold the

wild-o-meter. After we do all 8 rides, we'll do a two-sample t-test to

see if there's a difference in average wildness, and we'll also

construct a confidence interval to estimate the average wildness

difference between the rides.

I hope you and your kids all have fun!!!

--Floyd

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