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.
Answers
Answer:
a. t`= 7.63
b.υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1
= 18.885 ≈19 The degrees of freedom is always rounded in this calculation.
c. The critical region for one tailed test for alpha= 0.1 and 19 degrees of freedom is 1.328= 1.33
The critical region is ║t║` ≥ t 0.05,19 = 1.729= 1.73
A. Reject H0 because the computed tSTAT test statistic is greater than the upper-tail critical value
Step-by-step explanation:
Answer:
Step-by-step explanation:
We state our null and alternative hypothesis as
H0: μ1=μ2 against Ha: μ1 ≠ μ2
The level of significance is α=0.1
Since the population have unequal variances , the test statistic if H0 is true ,is
t`= x1`- x2`/ √s₁²/n1 + s₂²/n2
which has approximately a t- distribution with υ degrees of freedom where
υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1
Computations:
t`= x1`- x2`/ √s₁²/n1 + s₂²/n2
t`= 46-31/ √4²/9 + 5²/12
t`= 15/√16/9 +25/12
t`= 15/ √64+75/36
t`=15/1.9649
t`=7.6339
t`= 7.63
υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1
= [139/36]²/ (16/9)²/8 +(25/12)²/11
= 14.91/ 0.395 + 0.395
= 18.885
≈19 The degrees of freedom is always rounded in this calculation.
The critical region is ║t`║≥ t 0.05,19 = 1.729
Since the calculated value of t` falls in the critical region we reject our null hypothesis of equal means.
Related Questions
(x - 12) - 5 = 3x - 2
x = ?
Answers
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
For a sample size of 55 and a population parameter of 0.2, what is the standard error of the sampling distribution? Round your answer to three
decimal places.
A. 0.028
B. 0.054
C. 0.035
D. 0.043
Answers
The standard error of the sampling distribution is given as follows:
B. 0.054.
How to obtain the standard error of the sampling distribution?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
at a deli counter, someone bought 1.6 pounds of ham for 14.50. How much will it cost per one pound
Answers
Answer:
approx. 9.06 for one pound
Step-by-step explanation:
Please help thank you..
Solve the following equation:
3x^2= -12
Picture above of the options.^
Answers
Answer:
Step-by-step explanation:
option d
I need help with this question.
Answers
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.
Damian has two summer jobs. He works as a tutor, which pays $12 per hours, and he works as a lifeguard, which pays $9.50 per hour. He can work no more than 20 hours a week, but he wants to earn at least $220 per week. Which of the following systems of inequalities represents this situation, where x is the number of hours worked as a tutor, and y is the number of hours worked as a lifeguard?
A.12x + 9.5y ≤ 220 AND x + y ≥ 20
B.12x + 9.5y ≤ 220 AND x + y ≤ 20
C.12x + 9.5y ≥ 220 AND x + y ≤ 20
D.12x + 9.5y ≥ 220 AND x + y ≥ 20
Answers
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.
A marketing researcher conducts a test to determine whether the number of chocolate chips per cookie differs significantly across two brands of chocolate chip cookies. A random sample of 10 Chewy Delight cookies reveals a mean of 6.4 chocolate chips per cookie and a standard deviation of 1.1 chocolate chips per cookie. A random sample of 11 Chips Destroy cookies reveals a mean of 5.6 chocolate chips per cookie and a standard deviation of 1.7 chocolate chips per cookie. Assuming unequal population variances, what is the calculated value for the associated test statistic?
Answers
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
What is the value
-3/2(24 - 5 1/3 )
A. -44
B. 32 1/6
C. -41 1/3
D. -28
Answers
May you please answer this question i tried to answer but failed miserably
Answers
Answer:
I think it is postive
PLEAS HELP ME!!!!!!!!!!!!!!!!Use a unit rate to find the unknown value.
52/13, 12/?
Answers
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:
WILL GIVE BRAINLIEST
Answers
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.
Believe it or not, there are some people who don't think that Duke will win the NCAA tournament this year. Let's say that you want to measure the average intelligence of Duke Doubters. Problem is you could only find 28 DDs on this whole campus. The mean of your sample was 90 and the standard deviation was 60. Calculate the 90% Confidence Interval for the IQ of DDs
Answers
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]
A fair coin is tossed 20 times. The probability of getting the three or more heads in a row is 0.7870 and the probability of getting three or more heads in a row or three or more tails in a row is 0.9791.2
What is the probability of getting three or more heads in a row and three or more tails in a row?
Answers
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]
which is the galaxy is the closest to our galaxy at the moment
Answers
What is the function written in vertex form?
f(x) = 4(x + 6)2 + 10
f(x) = 4(x + 6)2 – 26
f(x) = 4(x + 6)2 – 134
f(x) = 4(x + 6)2 + 154
Answers
4(x+6)2-26=8x+22
4(x+6)2-134=8x-86
4(x+6)2+154=8x+202
~ I hope this helped!
Answer:
(C) f(x) = 4(x + 6)2 – 134
Step-by-step explanation:
edge 2022
Please answer ASAP. Also please explain because even though I put it on here I still want to know how to do it. Tysmm
Answers
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
divide partial quotient 308 divide by 4
Answers
Answer:
77 is the answer your welcome
If 3x + 2y = 10 and 2x + 3y = 15, find the value
of x+y.
Answers
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
Which shows the equation below written in the form ax^2+bx+c=0 ? x^2+8x+10=3
Answers
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
If you double the radius of a circle, then you will quadruple the circumference of the circle
Answers
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.
Write the ratio as a fraction in simplest form, with whole numbers in the numerator and the denominator. 12 mi to 28 mi
Answers
Answer:
3/7
Step-by-step explanation:
12 ÷ 4
28 ÷ 4
Complete this division sentence.
9988 + 23 =
R
Answers
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
Help with question 2
Answers
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
Evaluate:
12x+10 for x=−12
Answers
Answer:
-144?
Step-by-step explanation:
im not sure if that'll be the answer
Answer:
-134
Step-by-step explanation:
What postulate/theorem can be used to prove the following triangles congruent?
Answers
Answer:
ASA
Step-by-step explanation:
since 2 angles and 1 side is the same, the triangles are congruent by the ASA theorem
What is needed to prove the triangles are congruent?
Answers
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.
Write as quotient of powers.
Answers
Answer:
I said C on my test but I'm pretty sure its right
124 – 70 = n – 35 I need the answer i please this is very importend
Answers
Answer:
N=89
59 = n - 35
54+35 = n
89=n
n=89
I’m between what two integers is the square root of 77
Answers
Answer:1,7
Step-by-step explanation:
Answer:i think it's 88 86
Step-by-step explanation:
Carla packed this box with 1-centimeter cubes. What is the volume of the box?
Answers
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 :)