1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
alexira [117]
3 years ago
8

John Calipari, head basketball coach for the national champion University of Kentucky Wildcats, is the highest paid coach in col

lege basketball with an annual salary of million (USA Today, March 29, 2012). The following sample shows the head basketball coach's salary for a sample of schools playing NCAA Division basketball. Salary data are in millions of dollars.
University Coach's Salary University Coach's Salary
Indian 2.2 Syracuse 1.5
Xavier .5 Murry State .2
Texas 2.4 Florida State 1.1
Connecticut 2.7 South Dekota State .1
West Virginia 2.0 Vermont .2
A. Use the sample mean for the 10 schools to estimate the population mean annual salary for head basketball coaches at colleges and universities playing NCAA Division 1 basketball (to 2 decimal).
B. Use the data to estimate the population standard deviation for the annual salary for head basketball coaches (to 4 decimals).
C. what is the 95% confidence interval for the population variance (to 2 decimals)?
D. what is the 95% confidence interval for the population standard deviation (to 2 decimals)?
Mathematics
1 answer:
lapo4ka [179]3 years ago
6 0

Answer:

A) sample mean = $1.36 million

B) standard deviation = $0.9189 million

C) variance confidence interval = ($0.40 million, $2.81 million)

D) standard deviation confidence interval = ($1.93 million , $0.79 million)

*since the sample size is very small, the confidence interval is not valid.

Step-by-step explanation:

samples:

  1. $2.7 million
  2. $2.4 million
  3. $2.2 million
  4. $2 million
  5. $1.5 million
  6. $1.5 million
  7. $0.5 million
  8. $0.5 million
  9. $0.2 million
  10. $0.1 million

sample mean = $1.36 million

the standard deviation:

  • $2.7 million - $1.36 million = 1.34² = 1.7956
  • $2.4 million - $1.36 million = 1.04² = 1.0816
  • $2.2 million - $1.36 million = 0.84² = 0.7056
  • $2 million - $1.36 million = 0.64² = 0.4096
  • $1.5 million - $1.36 million = 0.14² = 0.0196
  • $1.5 million - $1.36 million = 0.14² = 0.0196
  • $0.5 million - $1.36 million = -0.86² = 0.7396
  • $0.5 million - $1.36 million = -0.86² = 0.7396
  • $0.2 million - $1.36 million = -1.16² = 1.3456
  • $0.1 million - $1.36 million = -1.26² = 1.5876
  • total $8.444 million / 10 = $0.8444 million

variance 0.8444

standard deviation = √0.8444 = 0.9189

in order to calculate the confidence interval for the population variance we are going to use a chi-square distribution with 2.5% on each tail ⇒ table values 2.7004 and 19.023 enclose 95% of the distribution.

[(n - 1) x variance] / 2.7004 = (9 x 0.8444) / 2.7004 = 2.81

[(n - 1) x variance] / 19.023 = (9 x 0.8444) / 19.023 = 0.40

95% confidence interval = mean +/- 1.96 standard deviations/√n:

$1.36 million + [(1.96 x $0.9189 million)/√10] = $1.36 million + $0.57 million = $1.93 million

$1.36 million - $0.57 million = $0.79 million

You might be interested in
Evaluate 2-(-4) + (-g) where y= 7.
Phantasy [73]

Answer:

<h2>-1</h2>

Step-by-step explanation:

2 - (-4) + (-y)

Substitute y = 7 to the expression:

2 - (-4) + (-7) = 2 + 4 - 7 = 6 - 7 = -1

4 0
2 years ago
Use these clues to guess the mystery number. It is an odd number. It is greater than 142. It is less than 156. Rounded to the ne
Marianna [84]
Could be 154. 154 rounded to nearest ten= 150, rounded to nearest 100= 200
8 0
3 years ago
Read 2 more answers
Answer 11-12 it’s ok if your don’t no one of them. Please do at least one. Thanks.
Naddika [18.5K]

[11]

Equation: 180° - 75°

Measure: 105°

      A straight line has an angle measurement of 180°. Since we have GFB, 75°, we can find EFB this way.

[12]

Equation: 90° - 40°

Measure: 50°

      The little box in the angle shows that it is equal to 90°. Since they give us HGB, 40°, we can solve for EFB using this information.

3 0
2 years ago
20 = -d + 6
Sphinxa [80]

ok so rearrange things so that it says 6-d=20, then subtract six from each side to get -d=20-6, then subtract 6 from 20 to get -d=-14, then multiply both sides by -1 to get rid of the negative sign in front of the d since a variable cannot be a negative thus making your answer -14 or letter D. :) ❤❤❤❤

hope this helps

3 0
3 years ago
Read 2 more answers
What is the value of <img src="https://tex.z-dn.net/?f=%5Csqrt%7B25" id="TexFormula1" title="\sqrt{25" alt="\sqrt{25" align="abs
Trava [24]

Answer: -72

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Other questions:
  • What is 6.08 X 10 to the -12 power
    6·1 answer
  • Use long division to rewrite the following expression (18x^2+5x+5)/(6x^2-4x+1)
    15·1 answer
  • 3 years ago a father was 3 times as old as his son, in five years time he will be twice as old as his son, what will be the sum
    9·2 answers
  • Which expression is a difference of cubes?
    11·1 answer
  • jasmine ran for 98.4 minutes troughout her she ran at a pace of 8.2 minutes per mile how many miles did jasmine run
    12·2 answers
  • Savanna has 5 dogs and feed them 6 oz of dog food each day, how many pounds of dog food do they eat each day​
    12·1 answer
  • I need to pass my quiz but i dont know this one .
    15·1 answer
  • A roast beef sandwich costs $6.75. A customer buys multiple roast beef sandwiches. Write an equation that represents the situati
    12·1 answer
  • Two lines intersect creating angles with the measures shown below.
    10·1 answer
  • 7. Gabriela deposits $500 in an ordinary annuity at the end of each month in an account earning 8% annual
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!