Following are the published weights (in pounds) of all of the team members of the San Francisco 49ers from a previous year. 177; 205; 210; 210; 232; 205; 185; 185; 178; 210; 206; 212; 184; 174; 185; 242; 188; 212; 215; 247; 241; 223; 220; 260; 245; 259; 278; 270; 280; 295; 275; 285; 290; 272; 273; 280; 285; 286; 200; 215; 185; 230; 250; 241; 190; 260; 250; 302; 265; 290; 276; 228; 265 a. Organize the data from smallest to largest value. b. Find the median. c. Find the first quartile . d. Find the third quartile. e. Construct a box plot of the data. f. The middle 50% of the weights are from____to___ . g. If our population were all professional football players, would the above data be a sample of weights or the population of weights? Why? h. If our population included every team member who ever played for the San Francisco 49ers, would the above data be a sample of weights or the population of weights? Why? i. Assume the population was the San Francisco 49ers. Find: i. the population mean, μ . ii. the population standard deviation, α . iii. the weight that is two standard deviations below the mean. iv. When Steve Young, quarterback, played football, he weighed 205 pounds. How many standard deviations above or below the mean was he? j. That same year, the mean weight for the Dallas Cowboys was 240.08 pounds with a standard deviation of 44.38 pounds. Emmit Smith weighed in at 209 pounds. With respect to his team, who was lighter, Smith or Young? How did you determine your answer?
Following are the published weights (in pounds) of all of the team members of the San Francisco 49ers from a previous year. 177; 205; 210; 210; 232; 205; 185; 185; 178; 210; 206; 212; 184; 174; 185; 242; 188; 212; 215; 247; 241; 223; 220; 260; 245; 259; 278; 270; 280; 295; 275; 285; 290; 272; 273; 280; 285; 286; 200; 215; 185; 230; 250; 241; 190; 260; 250; 302; 265; 290; 276; 228; 265 a. Organize the data from smallest to largest value. b. Find the median. c. Find the first quartile . d. Find the third quartile. e. Construct a box plot of the data. f. The middle 50% of the weights are from____to___ . g. If our population were all professional football players, would the above data be a sample of weights or the population of weights? Why? h. If our population included every team member who ever played for the San Francisco 49ers, would the above data be a sample of weights or the population of weights? Why? i. Assume the population was the San Francisco 49ers. Find: i. the population mean, μ . ii. the population standard deviation, α . iii. the weight that is two standard deviations below the mean. iv. When Steve Young, quarterback, played football, he weighed 205 pounds. How many standard deviations above or below the mean was he? j. That same year, the mean weight for the Dallas Cowboys was 240.08 pounds with a standard deviation of 44.38 pounds. Emmit Smith weighed in at 209 pounds. With respect to his team, who was lighter, Smith or Young? How did you determine your answer?
a. Organize the data from smallest to largest value.
b. Find the median.
c. Find the first quartile.
d. Find the third quartile.
e. Construct a box plot of the data.
f. The middle 50% of the weights are from____to___ .
g. If our population were all professional football players, would the above data be a sample of weights or the population of weights? Why?
h. If our population included every team member who ever played for the San Francisco 49ers, would the above data be a sample of weights or the population of weights? Why?
i. Assume the population was the San Francisco 49ers. Find:
i. the population mean,
μ
.
ii. the population standard deviation,
α
.
iii. the weight that is two standard deviations below the mean.
iv. When Steve Young, quarterback, played football, he weighed 205 pounds. How many standard deviations above or below the mean was he?
j. That same year, the mean weight for the Dallas Cowboys was 240.08 pounds with a standard deviation of 44.38 pounds. Emmit Smith weighed in at 209 pounds. With respect to his team, who was lighter, Smith or Young? How did you determine your answer?
Following are the published weights (in pounds) of all of the team members of Football Team A from a previous year.
178; 201; 212; 212; 232; 205; 185; 185; 178; 210; 206; 212; 184; 174;185; 242; 188; 212; 215; 247; 241; 223; 220; 260; 245; 259; 278; 270;280; 295; 275; 285; 290; 272; 273; 280; 285; 286; 200; 215; 185; 230;250; 241; 190; 260; 250; 302; 265; 290; 276; 228; 265
Organize the data from smallest to largest value.
Part (a) Find the first quartile. (Round your answer to one decimal place.)
Part (b) Find the third quartile. (Round your answer to one decimal place.)
Part (c)
(i) the population mean, μ
(ii) the population standard deviation, σ
(iii) the weight that is 3 standard deviations below the mean
(iv) When Player A played football, he weighed 206 pounds. How many standard deviations above or below the mean was he?
The following table gives the 2012 total payroll (in millions of dollars) and the percentage of games won during the 2012 season by each of the National League baseball teams.
Team
Total Payroll
(millions of dollars)
Percentage of Games Won
Arizona Diamondbacks
83
46
Atlanta Braves
89
35
Chicago Cubs
110
57
Cincinnati Reds
111
34
Colorado Rockies
93
39
Los Angeles Dodgers
264
51
Miami Marlins
59
38
Milwaukee Brewers
99
39
New York Mets
95
53
Philadelphia Phillies
127
33
Pittsburgh Pirates
82
58
San Diego Padres
92
40
San Francisco Giants
164
46
St. Louis Cardinals
112
59
Washington Nationals
156
45
Compute the coefficient of determination, ρ2, with percentage of games won as the dependent variable. (Note that this data set belongs to a population.)
Carry out all calculations exactly, and round the final answer to three decimal places.
Elementary Statistics: Picturing the World (7th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.