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
Dafna1 [17]
2 years ago
7

Consider a t distribution with 7 degrees of freedom. Compute P(-1.29 < t < 1.29). Round your answer to at least three deci

mal places.Consider a t distribution with 18 degrees of freedom. Find the value of c such that P(t<= c) = 0.05. Round your answer to at least three decimal places.
Mathematics
1 answer:
ss7ja [257]2 years ago
3 0

Answer:

a) 0.76197086

b) -1.73406361

Step-by-step explanation:

a)

Consider a t distribution with 7 degrees of freedom. Compute P(-1.29 < t < 1.29)

P(-1.29 < t < 1.29) would be the area under the t distribution curve with 7 degrees of freedom between -1.29 and 1.29, that is in the interval (-1.29, 1.29).

This can be done the old style by looking up in a table or by using the technology with a spreadsheet.

In Excel, the function TDIST(x,n,2) with x>0 gives the area outside the interval (-x, x) of the t distribution with n degrees of freedom.

So TDIST(1.29,7,2) gives the area outside (-1.29, 1.29).

If we subtract this value from 1 we get the desired result

Hence  

P(-1.29 < t < 1.29) = 1 - TDIST(1.29,7,2) = 1 - 0.23802914 = 0.76197086

In OpenOffice Calc, the function is the same replacing “,” with “;”  

That is

P(-1.29 < t < 1.29) = 1 - TDIST(1.29;7;2) = 0.76197086

b)

Consider a t distribution with 18 degrees of freedom. Find the value of c such that P(t≤ c) = 0.05

We are looking for a point c such that the area of the t distribution with 18 degrees of freedom to the left of c is 0.05

In Excel, the inverse function of TDIST is TINV.  

TINV(p*2,n) with p>0 gives the point c such that the area of the t distribution with n degrees of freedom to the right of c is p.  

Since <em>the t distribution is symmetric with respect to 0</em>, -c would be a point such that the area to the left of -c is p.

So we want to compute  in Excel

-TINV(0.05*2,18) = -1.73406361

In OpenOffice Calc  

-TINV(0.05*2;18) = -1.73406361

You might be interested in
Please someone help and stop giving me links!!! No false answers!! Explanation
enyata [817]
Use the internet it helps a lot
7 0
3 years ago
Factorise (2t-7)²-(5t-4)² <br>with working pls​
sertanlavr [38]

Answer:

33+12t−21t^2

Step-by-step explanation:

(2t-7)²-(5t-4)²

Use binomial theorem (a−b)^2 = a^2−2ab+b^2 to expand (2t-7)².

4t^2−28t+49−(5t-4)²

Use binomial theorem (a−b)^2 = a^2−2ab+b^2 to expand (5t-4)².

4t^2−28t+49−(25t^2−40t+16)

To find the opposite of 25t^2

−40t+16, find the opposite of each term.

4t^2−28t+49−25t^2−40t+16

Combine 4t^2  and −25t^2  to get −21t^2.

−21t^2−28t+49+40t−16

Combine −28t and 40t to get 12t.

−21t^2+12t+49−16

Subtract 16 from 49 to get 33.

−21t^2+12t+33

Swap terms to the left side.

33+12t−21t^2

I hope this helped!

5 0
3 years ago
Twelve subtracted from twelve times a number is 240. What is the number?
vovangra [49]

Answer:

21

Step-by-step explanation:

Let x = the number

12x-12 = 240

12x = 252

x = 21

5 0
2 years ago
A local hamburger shop sold a combined total of 445 hamburgers and cheeseburgers on Tuesday. There were 55 fewer cheeseburgers s
liberstina [14]
Let x represent the number of hamburgers sold, and (x - 55) represent the number of cheeseburgers sold.

Set up an equation:
hamburgers + cheeseburgers = total number of burgers

x + (x-55) = 445

solve for x: 
2x - 55 = 445

2x = 445 + 55

2x = 500

x = 500÷2

x = 250

This means 250 hamburgers were sold on Tuesday.

Hope this helps!

-Jabba


4 0
3 years ago
What is x? 6x-18+14x+38
evablogger [386]

Answer:

x= -1

Step-by-step explanation:

6x-18+14x+38

group= 20x+20

set equal to 0

20x+20=0

       -20  -20

20x/20= -20/20

x= -1

8 0
3 years ago
Other questions:
  • What is the greatest possible whole-number value of the congruent side lengths?
    5·1 answer
  • Solve The Complex Number System<br><br><img src="https://tex.z-dn.net/?f=x%5E%7B3%7D-125%3D0" id="TexFormula1" title="x^{3}-125=
    13·1 answer
  • Which of the following options is an equivalent function to f(x) = 4(3)2x?
    7·2 answers
  • The cumulative frequency diagram shows the times taken by the members of two different clubs, The Braineys and The Cleverities,
    10·1 answer
  • The Mountain Spring Water Company is moving their backup supply of drinking water to a different site. Each tank weighs accordin
    14·1 answer
  • Ivan has a sticker collection. 2/5 of his stickers are scratch-and-sniff stickers. 1/4 of his scratch-and-sniff stickers smell l
    6·1 answer
  • A regular ice cream cone is 5 inches tall and has a diameter of 2.5 inches. A waffle cone is 7 inches tall and has a diameter of
    9·1 answer
  • Olivia buys cookies and apples at the store. She pays a total of $24.79. She pays a total of $4.75 for the cookies. She buys 4 b
    12·1 answer
  • Luke goes to the fair with $50. Each ride costs $2. If an equation is written to show how much money Luke has at the end of the
    9·1 answer
  • Question 2 Multiple Choice Worth 4 points)
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!