Assume that you have a sample of n1=9​, with the sample mean X1=46​, and a sample standard deviation of S1=4, and you have an independent sample of n2=12 from another population with a sample mean of X2=31 and the sample standard deviation S2=5. Complete parts​ (a) through​ (d) below. a. What is the value of the​ pooled-variance tSTAT test statistic for testing H0: μ1=μ2​? tSTAT=nothing ​(Round to two decimal places as​ needed.) b. In finding the critical​ value, how many degrees of freedom are​ there? nothing degrees of freedom ​(Simplify your​ answer.) c. Using a significance level of α=0.1​, what is the critical value for a​ one-tail test of the hypothesis H0: μ1≤ μ2 against the alternative H1: μ1>μ2? The critical value is nothing. ​(Round to two decimal places as​ needed.) d. What is your statistical​ decision? A. Reject H0 because the computed tSTAT test statistic is greater than the​ upper-tail critical value. B. Reject H0 because the computed tSTAT test statistic is less than the​ upper-tail critical value. C. Do not reject H0 because the computed tSTAT test statistic is less than the​ upper-tail critical value. D. Do not reject H0 because the computed tSTAT test statistic is greater than the​ upper-tail critical value.

Answer: the value for the associated test statistic is 1.2653

Step-by-step explanation:

Given that;

sample size one n₁ = 10

mean one x"₁ = 6.4

standard deviation one S₁ = 1.1

sample size two n₁ = 11

mean two x"₂ = 5.6

standard deviation one S₁ = 1.7

H₀ : μ₁ = μ₂

H₁ : μ₁ ≠ μ₂

Pooled Variance

sp = √( { [(n₁ - 1) × s₁² + (n₂ - 1) × s₂²] / (n₁ + n₂ - 2)} × (1/n₁ + 1/n₂))

we substitute

= √( { [(10 - 1) × (1.1)² + (11 - 1) × (1.7)²] / (10 + 11 - 2)} × (1/10 + 1/11))

= √( { [(9) × 1.21 + (10) × 2.89]  / (19) } × (0.1909))

= √({[ 39.79 ]  / 19} × (0.1909))  

= √( 2.0942 × 0.1909)

= √( 0.39978 )

= 0.63228

Now Test Statistics will be;

t = ( x"₁ - x"₂) / sp

we substitute

t = ( 6.4 - 5.6) / 0.63228

t = 0.8 / 0.63228

t = 1.2653

Therefore the value for the associated test statistic is 1.2653

Answer:

False.

Step-by-step explanation:

Any straight line may have infinite number of points (solutions) lying on it.

Therefor, straight line 'l' can't have exactly two solutions.

Line 'l' will have infinitely many solutions.

Exactly one or two solutions are possible only when two lines or functions intersect each other.

Therefore, answer is false.

Answer:

N=89

59 = n - 35

54+35 = n

89=n

n=89

Answer:

The  value is  [tex]P( H \ n \ T ) = 0.6049[/tex]

Step-by-step explanation:

From the question we are told that

   The  number of times  is  n  =  20  

   The probability of getting three or more heads in a row is  [tex]P(H) = 0.7870[/tex]

   The probability of getting three or more heads in a row or three or more tails in a row is    [tex]P(H \ u \ T ) = 0.9791[/tex]

Generally given that it is a fair coin , then   [tex]P(H) = P(T) = 0.7870[/tex]

Here  P(T) is  probability of getting three or more tails  in a row

Generally  the probability of getting three or more heads in a row and three or more tails in a row is mathematically represented as

        [tex]P( H \ n \ T ) = P(H) + P(T) - P( H \ u \ T )[/tex]

=>   [tex]P( H \ n \ T ) = 0.7870 + 0.7870 - 0.9791[/tex]

=>   [tex]P( H \ n \ T ) = 0.6049[/tex]

Answer:

77 is the answer your welcome

Answer:

(C) f(x) = 4(x + 6)2 – 134

Step-by-step explanation:

edge 2022

Answer:

1. 40/8 = 45/9

2. 42/14 = 15/5

3. 14/2 = 56/8

4. 8/4 = 26/13

Step-by-step explanation:

Answer:

Step-by-step explanation:

option d

Answer:

60 cm 2

Step-by-step explanation:

Answer:

60 cubic cm

Step-by-step explanation:

i just multiplied 3 x 4 x 5 and that gave me 60 and cubic cm

hoped it helped :)

Correct question is;

Complete this division sentence.

9988 ÷ 23 = R

Answer:

9988 ÷ 23 = 434 R 6

Step-by-step explanation:

....... 434

_________

23|9988

......92

¯¯¯¯¯¯¯¯¯¯¯

........ 788

.........69

¯¯¯¯¯¯¯¯¯¯

........... 98

............92

¯¯¯¯¯¯¯¯¯¯¯

............. 6

Thus ; 9988 ÷ 23 = 434 R 6

Answer:

I said C on my test but I'm pretty sure its right

Answer:

B 12x + 9.5y ≤ 220 AND x + y ≤ 20

Step-by-step explanation:

Answer:

A.12x + 9.5y ≤ 220 AND x + y ≥ 20

Step-by-step explanation:

≤ 220 symbolizes that he can earn 220 or more than 220.

≥ 20 symbolizes that he can work 20 hours or less.

Answer:

ASA

Step-by-step explanation:

since 2 angles and 1 side is the same, the triangles are congruent by the ASA theorem

Answer:

The 90% confidence interval is   [tex] 87.95   <  \mu < 92.05  [/tex]

Step-by-step explanation:

From the question we are told that

   The sample size is  [tex]n = 28[/tex]

    The  sample mean is  [tex]\= x = 90[/tex]

    The standard deviation is  [tex]s= 60[/tex]

Generally given that the sample size is not large enough i.e  n <  28 then we will make use of the t distribution table  

Generally the degree of freedom is mathematically represented as

         [tex]df = n- 1[/tex]    

=>      [tex]df = 28 - 1[/tex]  

=>      [tex]df = 2 7[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.10[/tex]

Generally from the student t  distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] at a degree of freedom of [tex]df = 2 7[/tex]  is  

   [tex]t_{\frac{\alpha }{2} , 27  } =  2.052[/tex]

Generally 95% confidence interval is mathematically represented as  

      [tex]\= x -E <  \mu <  \=x  +E[/tex]

=> [tex]90  - 2.052  <  \mu < 90  + 2.052  [/tex]

=> [tex] 87.95   <  \mu < 92.05  [/tex]

Answer:

l ×b length ×breadth or h×b height ×breadth only this much or if you have other formula plz send me plz and what your name

Answer:

To prove triangles are congruent (equal) you must show that corresponding sides have the same measure as well as corresponding angles having the same number of degrees.

Step-by-step explanation:

Answer: You need to show that the measure of angle G is equal to the measure of angle T.

Answer:

-144?

Step-by-step explanation:

im not sure if that'll be the answer

Answer:

-134

Step-by-step explanation:

The standard error of the sampling distribution is given as follows:

B. 0.054.

By the Central Limit Theorem, for a proportion p in a sample of size n, the standard error of the sampling distribution of sample proportions is given as follows:

[tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

The parameter values for this problem are given as follows:

p = 0.2, n = 55.

Hence the standard error is given as follows:

[tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

[tex]s = \sqrt{\frac{0.2(0.8)}{55}}[/tex]

s = 0.054.

Meaning that the correct option is given by option B.

More can be learned about the Central Limit Theorem at https://brainly.com/question/25800303

#SPJ1

Answer:

Infinitely many solutions.

Step-by-step explanation:

The two sides are the exact same therefore x can be anything

Answer:

infinitely many solutions

Step-by-step explanation:

6(x + 4) - 8 = 6x - 16

6x + 24 - 8 = 6x - 16

6x - 16 = 6x - 16

6x = 6x

x = x

RHS = LHS

Therefore, x can be any real number.

Answer:

False

Step-by-step explanation:

No options is attached to the question. However, I'll assume it's a true or false question.

Represent the radius with r.

The circumference is calculated as:

X = 2πr

When the radius is doubled, the new radius R is

R = 2r

And the new circumference, C is:

C = 2πR

Substitute 2r for R

C = 2π * 2r

C = 4πr

Factorize the above equation.

C = 2 * 2πr

Recall X = 2πr;

The expression becomes:

C = 2 * X

C = 2X

This means that the circumference is doubled, not quadrupled.

Hence, the statement is false.

Answer:

approx. 9.06 for one pound

Step-by-step explanation:

Answer:1,7

Step-by-step explanation:

Answer:i think it's 88 86

Step-by-step explanation:

9514 1404 393

Answer:

  see below

Step-by-step explanation:

First row

Fill in the given x-value and solve for y:

  3(-4) +2y = -6

  -12 +2y = -6

  -6 +y = -3 . . . . . divide by 2

  y = 3 . . . . . . . . . add 6

__

Second row

Fill in the given y-value and solve for x:

  3x +2(0) = -6

  x = -2 . . . . . . . . . divide by 3

Answer:

I think it is postive

Answer:

[tex]\boxed {\boxed {\sf x^2+8x+7=0}}[/tex]

Step-by-step explanation:

We want to put the equation into the standard form of a quadratic equation ([tex]ax^2+bx+c=0[/tex]). This allows us to factor or use the quadratic formula to find the roots.

We are given the equation:

[tex]x^2+8x+10=3[/tex]

We have to get a 0 on one side of the equation. The easiest way to do this is to "get rid" of the 3 on the right side using inverse operations.

It's a positive 3, so the inverse would be subtract. Subtract 3 from both sides of the equation.

[tex]x^2+8x+10-3=3-3[/tex]

[tex]x^2+8x+(10-3)=0[/tex]

[tex]x^2+8x+7=0[/tex]

The equation in standard form is x²+8x+7=0

Answer:

3/7

Step-by-step explanation:

12 ÷ 4

28 ÷ 4

Answer:

x+y=5

Step-by-step explanation:

Isolate y in the first equation:

3x+ 2y = 10

2y = 10 - 3x

y= (10 - 3x)/2

substitute this value of y into the second equation:

2x + 3 ((10 - 3x)/2) = 15

now solve for x:

2x + 3/2 (10 - 3x) =15

2x + 15 - 9/2x = 15

-5/2 x = 15 - 15

-5/2 x / (-5/2) = 0/(-5/2)

x=0

now use this value to solve for y:

y = (10 - 3(0))/2

y = 10/2

y = 5

now x+y

0+5=5

Answer:

x = 97

Step-by-step explanation:

Question 2:

Recall that, the sum of all 4 angles in a quadrilateral = 360°.

This means that all the interior angles of the quadrilateral given above would sum up to 360°.

To find the value of x, create an equation by adding all the interior angles and set the sum equal to 360°.

Thus:

(x + 10) + x + 59 + x = 360°

Add like terms

3x + 69 = 360

3x + 69 - 69 = 360 - 69

3x = 291

3x/3 = 291/3

x = 97

Answer:

not equal

Step-by-step explanation:

Answer:

x= -7.5

Step-by-step explanation:

x-12-5=3x-2

x-17=3x-2

-2x=15

x=-7.5