Unit 0
Convert from decimal to fraction, with a whole number numerator and denominator, and reduced to lowest terms:
.425
17/40
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. Label the two sectors “IN FAIRWAY” and “NOT IN FAIRWAY”. Show the work to calculate the central angles for the two sectors.
Pie chart
in fairway .71*360 = 255.6 0
not in fairway 29*360 = 104.40
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 Tyrod Taylor in games 50 degrees and warmer and in games under 50 degrees. State the alternative hypotheses for investigating this claim.
Tyrod Taylor has a greater ability to complete passes in warm weather than cold weather
Suppose that during a basketball game a broadcaster claims that a particular shooter has the hot hand. Explain what this means in the context of basketball.
The Players ability to make a basket is higher following a make than a miss
Use these passing yardage totals for Pittsburgh Steelers quarterback Terry Bradshaw for each of his 15 games in the 1980 regular season:
254 282 265 217 236 237 299 135 100 263 155 289 138 197 272
Calculate the mean of Bradshaw’s distribution
Mean 163
Last year Karen averaged 17.5 points per game. If her team played 24 games, how many total points did she have for the season?
420
An athlete’s PERFORMANCE will generally get closer and closer to his or her ABILITY as the number of attempts grows larger. Is usually called
The Law of Large Numbers
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.
Calculate the value of the test statistic (difference in shooting percentage road – home).
.4238-.4072=
.0166 = 1.66%
A 100-trial simulation was conducted. In a trial, the longest streak was recorded and graphed on a dotplot. The p-value is 4% Write a conclusion
Since the p-value is 4% < 5% we reject Ho.
Use this list of number of home runs hit by each of the 16 National League teams in the 2008
154 94 117 137 187 167 159 153 160 198 130 208 174 172 214 184
Calculate the median of the distribution
Median 163.5
A basketball player makes 9 out of 14 foul shots.
What is their percentage made?
64.3%
A basketball player made 6 free throws. Is this Categorical or Numerical Variables
Categorical Variables
Makes/Misses
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.
Create a two way table
Road Home Total
Made 345 327 672
Missed 469 476 945
Total 814 803 1617
Suppose that we performed a hypothesis test to see if the Golden State Warriors of the NBA had a greater ABILITY to win following a win than following a loss.
Describe a Type I error in the context of this question
If you reject the Ho and it later turns out to be true
Use these passing yardage totals for Pittsburgh Steelers quarterback Terry Bradshaw for each of his 15 games in the 1980 regular season:
254 282 265 217 236 237 299 135 100 263 155 289 138 197 272
Determine whether the value of 100 is an outlier.
LBO -20.5
100 is not an outlier
WINS LOSSES
BRAVES 82 60
Dodgers 76 65
What is the magic number for the Braves in a regular 162 game season.
16
The formula we use to model athletic PERFORMANCE is
PERFORMANCE = ABILITY + RANDOM CHANCE
In many sports, athletes use “eye black” to help them see on sunny days. Eye black is a black substance or sticker that is placed below the eyes to absorb some of the glare from the sun. But does it work better than not using it? To decide, you conduct an experiment in which you attempt to catch fly balls while looking into the sun. What are the explanatory variables in this experiment?
Explanatory Variables
Use of Eye Black
Suppose that we performed a hypothesis test to see if the Golden State Warriors of the NBA had a greater ABILITY to win following a win than following a loss.
Describe a Type II error in the context of this question
If you don't reject the HO and it later turns out to be false
The following data values are the points scored in each game by the 2013 Denver Broncos:
49, 41, 37, 52, 51, 35, 33, 45, 28, 27, 31, 35, 51, 20, 37, 34, 24, 26, 8
Does the difference between mean and median indicate that a dot plot or histogram of the data might be skewed or symmetrical?
Where is the next World Cup 2026
North America
Canada, USA, Mexico
In the 2008 regular season, Indianapolis Colts Quarterback Peyton Manning completed 371 of his 555 passing attempts and in his only playoff game he completed 25 of his 42 passing attempts.
Use a segmented bar graph to display to compare these PERFORMANCES.
Regular Season complete 67% incomplete 33%
Playoffs complete 60% incomplete 40%
In many sports, athletes use “eye black” to help them see on sunny days. Eye black is a black substance or sticker that is placed below the eyes to absorb some of the glare from the sun. But does it work better than not using it? To decide, you conduct an experiment in which you attempt to catch fly balls while looking into the sun. What are the response variables in this experiment?
Response Variables
the number/percentage of fly balls caught
In the 2011 Super Bowl, quarterback Ben Roethlisberger of the Pittsburgh Steelers completed 25 of his 40 pass attempts.
Describe how to do a simulation using index cards to test for the hot hand.
Take 40 cards, mark 25 with complete and mark 15 with incomplete. Shuffle the cards lay them out and record the longest streak
The 5-number summary of the number of kills per game of a popular girls volleyball team showed these values: minimum = 16, Q1 = 21, Median = 25, Q3 = 28.5, maximum = 42.
What percent of games had 21 or more kills?
75%