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
Sergeeva-Olga [200]
3 years ago
5

When using a one-tailed test and a sample size of 24, what is the probability of a value being to the left of a number that has

a student-t statistic of –2.50?
Mathematics
1 answer:
UNO [17]3 years ago
3 0

Answer:

P-value = 0.009997                                                  

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 24

Nature of test: One-tailed test(Left tailed test)

t_{\text{statistic}} = -2.50

We have to calculate the p-value.

Degree of freedom = n - 1 = 23

We calculate the p-value from the table corresponding to t score -2.50 and degree of freedom 23.

P-value = 0.009997

0.009997 is the  probability of a value being to the left of a number that has a student-t statistic of –2.50.

You might be interested in
Use complete sentences to describe how to graph -6 on a number line.
Katen [24]

First of all u draw a number line, then u labbel it, then go to zero, n count 6 negative steps, ok in simple terms move backwards thrice

4 0
3 years ago
Read 2 more answers
Can someone make sure that I’m right
WARRIOR [948]

Answer:

A

Step-by-step explanation: You are correct!

5 0
3 years ago
Read 2 more answers
Find the volume of a sphere with radius 2 feet. Round your answer to the nearest hundredth.
Dmitry_Shevchenko [17]

Answer:

V=33.51ft^3

Step-by-step explanation:

Remember the formula:

V=\frac{4}{3} \pi r^3

V= Volume r= radius

V=\frac{4}{3} \pi 2^3= 33.51032

Round your answer to the nearest hundredth.

V=33.51ft^3

4 0
3 years ago
Let X and Y be discrete random variables. Let E[X] and var[X] be the expected value and variance, respectively, of a random vari
Ulleksa [173]

Answer:

(a)E[X+Y]=E[X]+E[Y]

(b)Var(X+Y)=Var(X)+Var(Y)

Step-by-step explanation:

Let X and Y be discrete random variables and E(X) and Var(X) are the Expected Values and Variance of X respectively.

(a)We want to show that E[X + Y ] = E[X] + E[Y ].

When we have two random variables instead of one, we consider their joint distribution function.

For a function f(X,Y) of discrete variables X and Y, we can define

E[f(X,Y)]=\sum_{x,y}f(x,y)\cdot P(X=x, Y=y).

Since f(X,Y)=X+Y

E[X+Y]=\sum_{x,y}(x+y)P(X=x,Y=y)\\=\sum_{x,y}xP(X=x,Y=y)+\sum_{x,y}yP(X=x,Y=y).

Let us look at the first of these sums.

\sum_{x,y}xP(X=x,Y=y)\\=\sum_{x}x\sum_{y}P(X=x,Y=y)\\\text{Taking Marginal distribution of x}\\=\sum_{x}xP(X=x)=E[X].

Similarly,

\sum_{x,y}yP(X=x,Y=y)\\=\sum_{y}y\sum_{x}P(X=x,Y=y)\\\text{Taking Marginal distribution of y}\\=\sum_{y}yP(Y=y)=E[Y].

Combining these two gives the formula:

\sum_{x,y}xP(X=x,Y=y)+\sum_{x,y}yP(X=x,Y=y) =E(X)+E(Y)

Therefore:

E[X+Y]=E[X]+E[Y] \text{  as required.}

(b)We  want to show that if X and Y are independent random variables, then:

Var(X+Y)=Var(X)+Var(Y)

By definition of Variance, we have that:

Var(X+Y)=E(X+Y-E[X+Y]^2)

=E[(X-\mu_X  +Y- \mu_Y)^2]\\=E[(X-\mu_X)^2  +(Y- \mu_Y)^2+2(X-\mu_X)(Y- \mu_Y)]\\$Since we have shown that expectation is linear$\\=E(X-\mu_X)^2  +E(Y- \mu_Y)^2+2E(X-\mu_X)(Y- \mu_Y)]\\=E[(X-E(X)]^2  +E[Y- E(Y)]^2+2Cov (X,Y)

Since X and Y are independent, Cov(X,Y)=0

=Var(X)+Var(Y)

Therefore as required:

Var(X+Y)=Var(X)+Var(Y)

7 0
3 years ago
To help solve the trigonometric inequality sec(x/3)+4>2-sec(x/3) which two equations could you graph
geniusboy [140]

Answer:

b. y=sec(x/3) and y=-1

Step-by-step explanation:

sec(x/3) + 4 > 2 − sec(x/3)

2 sec(x/3) > -2

sec(x/3) > -1

Graph y = sec(x/3) and y = -1.

6 0
3 years ago
Other questions:
  • The balance in two separate bank accounts grows each month at different rates. The growth rates for both accounts are represente
    15·1 answer
  • 100 POINTS!!!!!! MAY SOMEONE PLEASE HELP ME!!!! I NEED IT BAD!<br> THANK YOU IN ADVANCE!
    9·1 answer
  • The nth term of a sequence is 8 - n. a)work out the first three terms of the sequence b) work out the value of the first negativ
    15·1 answer
  • Helppp! Please! thank you!!!!!!
    6·1 answer
  • Which is the least valid way to stimulate how many boys and girls are in a random sample of 20 students from a school that is ha
    5·2 answers
  • June bought ​
    14·1 answer
  • ​Yesterday, a movie theater sold 262 bags of popcorn. A large bag of popcorn costs ​$3. A small bag of popcorn costs ​$1. In​ al
    6·2 answers
  • Which is the solution for the system of linear equations below?<br><br> y= -1/3x + 3<br> y = -x + 1
    7·1 answer
  • Write an explicit formula for an, the nth term of the sequence 1, 11, 21
    6·1 answer
  • HOW MANY AUTOMOBILE LICENSE PLATES CAN BE MADE IF EACH PLATE
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!