Unit 0
Unit 0
Unit 1
Unit 1
Unit 2
Unit 2
100
53,13,23,39,13,34
What is the mode?
What
is
13
100
A basketball player makes 9 out of 14 foul shots. What is their percentage made?
What is
.643
64.286%
100
Categorical or Numerical ?
For a football player, the average number of yards per carry in one game
Numerical
Each carry has a number of yards
100
In the 2008-2009 regular season basketball player Dwayne Wade averaged 7.5% assists per game and 2.2% steals per game.
The graph is not accurate.
Explain what is wrong with it
What is
Graph does not show Zero
Violates the Area Principle
Should be percent not whole numbers
100
Do quarterbacks have a greater ABILITY to complete passes when the weather is warm? To investigate, you compare the pass completion percentages for Buffalo Bills quarterback Josh Allen in games 50 degrees and warmer and in games under 50 degrees. State the null and alternative hypotheses for investigating this claim.
What is
ho: Josh Allen has the SAME ABILITY to complete passes in warm and cold weather
ha:Josh Allen has a GREATER ABILITY to complete passes in warm than cold weather
100
Do basketball players have lower ABILITY to make free-throws when shooting granny-style (underhanded)? Suppose that you go to a basketball court and take 30 free-throws in random order – 15 shots underhanded and 15 shots in the traditional style – and record the number of shots made in each context.
What is the explanatory variable?
What is
The underhand or the traditional style of free throws
200
What is the magic number equation?
What is
M=(N+1)-(W1+L2)
200
Convert from decimal to fraction, with a whole number numerator and denominator, and reduced to lowest terms:
.425
What is
17/40
200
Categorical or Numerical ?
For a basketball player, the shooting percentage during one game
Categorical
Based on whether the shots are Made or Missed which are categorical
200
Calculate the magic number for the Blackhawks chess team to clinch 1 st place in the DVL if the total number of games in the season is 12. Show all work.
What is
M = (12 + 1)- (7 +4)
M= 13 - 11
M = 2
200
Does NBA player Carmelo Anthony of the New York Knicks have a greater ABILITY to shoot on the road than at home? During the 2015-2016 regular season he made 327 of his 803 shot attempts at home and he made345 of his 814 shot attempts on the road.
Display a two-way table of the data
What is
200
Do basketball players have lower ABILITY to make free-throws when shooting granny-style (underhanded)? Suppose that you go to a basketball court and take 30 free-throws in random order – 15 shots underhanded and 15 shots in the traditional style – and record the number of shots made in each context.
What is the response variable?
What is
The number of shots made
300
What is the median of this set of numbers:
41 22 29 36 37
45 45 39 26 43
What is
38
300
Last year Kara averaged 17.5 points per game. If her team played 24 games, how many total points did she have for the season?
What is
420 points
300
In 2008, golfer Annika Sorenstam had a driving accuracy of 71%. That is, on par 4 and par 5 holes, her tee shot landed in the fairway 71% of the time.
Draw a spinner that could be used to simulate her performance.
Include title, key, degrees, pie chart and %
300
Which simulation method would be most appropriate to simulate 75 tennis serves for a player who gets their first serve in bounds 3/5 of the time?
What is
table, random number generator, calculator, or spinner
NOT
coin, 2 coins, or dice
300
Do basketball players have lower ABILITY to make free-throws when shooting granny-style (underhanded)? Suppose that you go to a basketball court and take 30 free-throws in random order – 15 shots underhanded and 15 shots in the traditional style – and record the number of shots made in each context.
Why is it important to randomize in this experiment?
What is
So that neither treatment has an advantage over the other
300
Does NBA player Carmelo Anthony of the New York Knicks have a greater ABILITY to shoot on the road than at home? During the 2015-2016 regular season he made 345 of his 814 shot attempts at home and he made 327 of his 803 shot attempts on the road.
Calculate the test statistic?
What is
345/814 - 327/803
.424 - .407
= .017
400
How do you graph 243 total shots made out of 356 attempted shots on a pie chart?
What is
243/356 =0.683
.683*360 =245.88 degrees
360-245.88 =114.12 degrees
Make sure to include title, key, degree, % and pie chart
400
State the magic number for the Detroit Tigers
What is
M = (162 + 1) – (82 + 65)
M = 163 – 147
M = 16
400
How would we simulate 20 free-throw attempts by a basketball player who has a long-term success rate of 7/9 using a TABLE of Random Digits
First pick a line and location to begin, how many digits at a time, decide assignment of values, results, repeat
400
What is
the Law of Large Numbers?
What is
an athletes performance will generally get closer and closer to the their ability as the number of attempts grows larger
400
Does NBA player Carmelo Anthony of the New York Knicks have a greater ABILITY to shoot on the road than at home? During the 2015-2016 regular season he made 327 of his 803 shot attempts at home and he made 345 of his 814 shot attempts on the road.
Describe how to simulate using notecards
What is
Total of 1617 notecards
Mark 672 Make and 945 Miss
Shuffle and separate into two piles home and away
Calculate new test statistic and REPEAT
400
If my test statistic is .25
Assume 100 simulations
What is my p -value?
p value is 2%
500
Convert to fraction form, with a whole number numerator and denominator and reduced to lowest terms:
________
.434343
Let x =.434343
- Let 100x = 43.4343
________________________
99x = 43
43/99
500
Find the mean, median, mode, and range for the following data:
21, 15, 16, 25, 13, 18, 21
Mean = 129/7 = 18.429
Median (16+18)/2 = 18
Mode = 21
Range 25 -13 =12
500
Mike Trout of the Los Angeles Angels and Bryce Harper of the Washington Nationals are thought to be the best young baseball players to come along in a long time. In 2012 they were each voted Rookie of the Year in their respective leagues. Through the 2015 season, they have each played 4 full seasons. Trout has hit 139 home runs in 2448 at bats and Harper has hit 97 home runs in 1830 at bats.
Create a segmented bar chart
500
On May 23, 2014, the Detroit Tigers had 30 wins and 25 losses. The Kansas City Royals had 29 wins and 23 losses. Which team was higher in the standings?
What is
The Kansas City Royals had a higher winning percentage with 55.769%
While the Detroit tigers had a winning percentage has 54.545%
500
Do basketball players have greater ABILITY to make free-throws when shooting traditional or granny-style ? Suppose that you go to a basketball court and take 30 free-throws in random order – 15 shots underhanded and 15 shots in the traditional style – and record the number of shots made in each context.
Why is it important to control and what can we control?
What is
If there are no other variables present, than you could conclude that traditional is better than granny style.
We can control that we all shoot with the same ball, under the same weather conditions, the same uniform, the same hoop...
500
If my test statistic is .25
Assume 100 simulations
What is my conclusion?
Since my p-value is 2% we reject Ho.
Repeat Ha statement... The team has a GREATER ABILITY to win at home than away.