answer.
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
lara31 [8.8K]
1 year ago
10

Researchers have a sample size of 24 , and they are using the Student's t-distribution. What are the degrees of freedom and how

would they notate this distribution?
Mathematics
1 answer:
DerKrebs [107]1 year ago
7 0

Answer:

For this case assuming that the random variable is X

df = n-1

And replacing n = 24 we got:

df = 24-1=23

And we notate the distribution we got: X \sim t_{n-1}= t_{23}

Step-by-step explanation:

Previous concepts

The t distribution (Student’s t-distribution) is a "probability distribution that is used to estimate population parameters when the sample size is small (n<30) or when the population variance is unknown".

The shape of the t distribution is determined by its degrees of freedom and when the degrees of freedom increase the t distirbution becomes a normal distribution approximately.  

The degrees of freedom represent "the number of independent observations in a set of data. For example if we estimate a mean score from a single sample, the number of independent observations would be equal to the sample size minus one."

Solution to the problem

For this case assuming that the random variable is X

df = n-1

And replacing n = 24 we got:

df = 24-1=23

And we notate the distribution we got: X \sim t_{n-1}= t_{23}

You might be interested in
What is the determinant of the coefficient matrix of the system<br> –11<br> –2<br> 0<br> 55
Alina [70]

The first two rows of coefficients are identical, so by inspection, the determinant is 0.

7 0
2 years ago
Read 2 more answers
Barnes and Nobles buys a book for $14.25. They markup the price of the book by 35%.
murzikaleks [220]

Answer:

$19.24

Step-by-step explanation:

Take 14.25 times 1.35.

3 0
2 years ago
Peter has 96 stamps and Sam has 63. How many stamps should Sam give Peter so that Peter will have twice as many stamps as Sam?
MAXImum [283]
96÷2=48
63-48=15

So Sam should give Peter 15 of his stamps so that Peter will have twice as many stamps as him.
4 0
1 year ago
Read 2 more answers
A door with width 4.20m has an arc as shown in the diagram. Find: a) the radius of the arc, to the nearest cm. b) the length of
Ksju [112]

Hi there!

~

R = \frac{2.1}{sin 67.5}

Arc = R \frac{3\pi }{4}

(A)

Hope this helped you!

5 0
1 year ago
Read 2 more answers
Suppose an exponential function is fit to a set of data. Which of the following residual plots indicates that this function was
Zina [86]
The correct answer is the choice that you have selected, the third choice. 

When, we are looking at the residuals for a regression line, we always want to see the points balance like in the third choice. This means that the equation that we found is right in the middle of the points.
7 0
1 year ago
Read 2 more answers
Other questions:
  • Which of the following is a validation of congruency between two polygons?
    13·2 answers
  • You want to put 520 quarters in coin wrappers. You need one rapper for every $10 in quarters. Write equation you can use to find
    9·2 answers
  • Sanji throws an 8-sided solid with faces numbered 1 through 8. Which of the following statements is true? Select all that apply.
    8·1 answer
  • The 200 students in a school band will attend awards dinner. A random survey of 25 of these students was conducted to determine
    13·1 answer
  • There are S steps from the pedestal to the head of the Statue of Liberty.The number of steps in the Washington Monument is 27 le
    7·1 answer
  • A survey of 20 Middleton residents was done to determine the number of people in each household. The numerical frequencies are s
    10·1 answer
  • You buy milk at $3.48 per gallon. One portion of oatmeal requires 1 oz of milk. How much does the milk for one portion cost? Rou
    11·1 answer
  • For the answer: The florist needs at least 1/3 gallons of nutrient rich water for each bushel of flowers he buys. If w is the ga
    15·1 answer
  • A student dropped a textbook from the top floor of his dorm and it fell according to the formula s(t) = −16t 2 + 8√t , where t i
    13·1 answer
  • Which expression shows a way to find 22 x 46?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!