Answer:
A) The null hypothesis is H₀; [tex]\overline x_1[/tex] = [tex]\overline x_2[/tex]
The alternative hypothesis is Hₐ; [tex]\overline x_1[/tex] ≠ [tex]\overline x_2[/tex]
B) The critical value is 4.604
C) The pooled variance is 11,870.2777
D) The standard error is-0.2321
E) The obtained is -0.2040
Step-by-step explanation:
The given values are;
[tex]\overline x_1[/tex] = 23.76, [tex]\overline x_2[/tex] = 34.54
s₁ = 123.43, s₂ = 105.65
n₁ = 5, n₂ = 20
A) The null hypothesis, H₀; [tex]\overline x_1[/tex] = [tex]\overline x_2[/tex]
The alternative hypothesis, Hₐ; [tex]\overline x_1[/tex] ≠ [tex]\overline x_2[/tex]
B) The degrees of freedom, df = 4 - 1 = 3
The critical t-value is given at α = 0.01 is given on the t-table for two tailed test as t = 4.604
C) The pooled variance is given by the following formula;
[tex]S_P^2 = \dfrac{(n_1 - 1) \cdot s_1^2 + (n_2-1) \cdot s_2^2}{n_1 + n_2 - 2 }[/tex]
Plugging in the values gives;
[tex]S_P^2 = \dfrac{(5 - 1) \cdot 123.43^2 + (20-1) \cdot 105.65^2}{5+ 20 - 2 } = 11,870.2777[/tex]
The pooled variance, [tex]s_p^2[/tex] = 11,870.2777
D) The standard error, SE, is given as follows;
[tex]t=\dfrac{(\bar x_{1}-\bar x_{2})}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}-\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]
Therefore, we get;
[tex]t=\dfrac{(23.76-35.34)}{\sqrt{\dfrac{123.43^{2} }{5}-\dfrac{105.65^{2}}{20}}} = -0.2321[/tex]
The standard error, SE ≈ -0.2321
E) The obtained 't' is given as follows;
[tex]\sigma _{\overline x_1 - \overline x_2} = \sqrt{\dfrac{s_1^2}{n_1-1} +\dfrac{s_2^2}{n_2-1} }[/tex]
Therefore, we have;
[tex]\sigma _{\overline x_1 - \overline x_2} = \sqrt{\dfrac{123.43^2}{5-1} +\dfrac{105.65^2}{20-1} } \approx 56.7564[/tex]
The obtained t is given as follows;
[tex]t(Obtained)=\dfrac{(\bar x_{1}-\bar x_{2})}{\sigma _{\overline x_1 - \overline x_2} }[/tex]
Therefore, we get;
[tex]t(Obtained)=\dfrac{(23.76-34.54)}{56.7564} \approx -0.2040[/tex]
The obtained t = -0.2040
please help me please
Answer: 7 texts 1 dollar, 5 texts 35 dollars
Step-by-step explanation:
if you have 49 is divisible by 7, and when you divide 49 by 7 you get 7. so 1 dollar you get 7 dollars. how do you get from 1 to five multiply 5, now multiply 7 by five to see how many texts you get for 5 dollars. im really not good at explaining i hope you get it though!!
Find two equivalent fractions
3/2
Answer:
4/6 8/12
Step-by-step explanation:
A road intersects another road
at an angle of 45°. Find the
value of x.
Answer:
x=135
Step-by-step explanation:
x=180-45
x=135
ask if any questions
Help shefeejhrhrhhtuy
Answer:
c. 80,360
Step-by-step explanation: multiply the number of cases they make each day by the amount of pastries each case contains
Somebody help me asap please giving brainliest
Answer:
70!
Step-by-step explanation:
If you divide the shape in rectangles, you'll just add it up in the end.
5 x 3 = 15
5 x 3 = 15
10 x 4 = 40
40 + 15 + 15 = 70.
Hope this helps!
I GIVE BRAINLIEST FOR ANSWER AND EXPLANATION
i see no shaded region here
(ignore this) the question is below.
Answer:
Between 13 and 14
Step-by-step explanation:
[tex]\sqrt{185}[/tex]=13.6 which is between 13 and 14
I need helphrdugdgdggdhd
Answer: the first box
Brainliest please
Step-by-step explanation:
25.09 is more than 25.018 because 0.09 is greater than 0.01
25.09-25.018=0.072
Answer:
You good? Also, 25.018 is heavier since it is closer tho the nearest ones and the fact it is a bigger decimal.
Step-by-step explanation:
Write the explicit formula for the arithmetic sequence.
Arithmetic Sequence Formula a(n)= a(1) + d(n − 1)
-7, 2, 11, 20, ...
Answer:
an = 9n -16
Step-by-step explanation:
First find the common difference, d
Take the second term and subtract the first
2 - (-7) = 2+7 = 9
We are adding 9 each time
Check 2+9 =11, check 11+9 = 20 check
The first term in the sequence is a1 so a1 =-7
an = a1 + d(n-1)
an = -7 + 9(n-1)
Distribute
an = -7 +9n-9
Combine like terms
an = 9n -16
log8(216)+[log(42)_log(6)]÷log(49)
Answer:
3 log (3) + 1/2Step-by-step explanation:
log8(216) + [log(42) - log(6)] ÷ log(49) =log (216)/ log (8) + [log (7) + log (6) - log (6)] ÷ 2 log (7) =3 log (3) log (2) / 3 log (2) + log (7) / 2 log (7) = 3 log (3) + 1/2If the measure of angle 2 is 155 degrees, what is the measure of angle?
Hi can you guys help me pls thanks!
what you need help woth owo
1 Find the area of the triangle and choose the appropriate result. 30 cm 16 cm A) 240 cm? B) 480 cm? C 120 cm D 220 cm
Answer:
480
Step-by-step explanation:
30 x 16
= 480
hope i helped
what is midpoint mean
Answer:
The middle of a line segment
Step-by-step explanation:
Thank yall for helping me
Answer:
11g+15-4g+5
11g-4g+15+5
15g+20
I think it's the answer because there is no
equals to ( = )
what is the volume of a rectangular prism wi the the dimensions3 base 5/8 cm, height 2/3 cm, and length 3/4 cm?
Answer:
5/16 cm³Step-by-step explanation:
Given that the:
Width (W) = 5/8 cmHeight (H) = 2/3 cmLength (L) = 3/4 cmFind the volume of the cuboid!
Volume equation =
W × H × L =
5/8 × 2/3 × 3/4 =
(5×2×3)/(8×3×4) =
30/96 =
5/16 cm³The volume = 5/16 cubic centimetres
____________________
#IndonesianPride - kexcvi
ANSWER FAST PLEASE!!!!!!!!!
Answer:
The domains are the X's, so 5, 3, 4, and 2
Step-by-step explanation:
p-value for p = 0.23 is closest to: 0.006 or 0.40?
Answer:
0.40 I'm pretty sure tbh
An isosceles triangle has two angles that are each 57. Find the measure of the third angle
Answer:
The third angle measures 66°
Step-by-step explanation:
If we look at the properties of triangles, we will know that all triangles have angles that, when added together, equal 180 degrees. Because we already know the measurement of two of the angles, all we have to do is add them up and subtract the sum by 180.
57+57=114
180-114=66
We got 66 as the measure of the last angle. Now, to make sure we have the right answer, we are going to check our work. We do this by adding together all of the angle measurements. If they all add up to 180, then we know we have the correct answer.
57+57+66=180
We were correct! Now we have the measurements of all three of the triangle's angles. Great job!
I hope this is easy to understand. Please let me know if you need any more help. Have a great morning!
choose the correct equation
Answer:
y = -3x - 10
Step-by-step explanation:
Equation to represent the given table can be written in the slope-intercept form, y = mx + b.
m = slope = ∆y/∆x
Using the coordinates of any two pairs of values from the table, (0, -10) and (1, -13):
Slope (m) = [(-13 - (-10)]/[1 - 0] = -3/1
Slope (m) = -3
b = y-intercept = the value of y when x is 0 = -10
To write the equation, substitute m = -3 and b = -10 into y = mx + b.
Thus:
y = -3x + (-10)
y = -3x - 10
thank you to whoever helps
(3,1) would be the right answer
Write a real-world scenario for the equation 10x + 2 = 8x + 8. Solve the equation.
Answer:
3
Step-by-step explanation:
Frank wants to find a number that is multiplied by 10 is 2 less than 8 times the number plus 8.
Hope that helps :)
the
What is the slope of the line?
Answer:
-1
Step-by-step explanation:
Slope is calculated with the general equation [tex]\frac{x_{2}-x_{1} }{y_{2}-y_{1}}[/tex] where you compare the difference between two sets of data points on the slope.
I will use the points (-2, 0) and (0, -2).
[tex]\frac{-2-0{} }{0-(-2){}}[/tex]
This gives us -2/2 or a slope of -1
Number one and two please?
PLEASE I NEED HELP CLICK ON THIS IMAGE
Answer:
It's 4 I think
Step-by-step explanation:
You list the number in order from least to greatest and then find the number in the middle.
What is the first and second step to solving -16=2a-8
What is the solution to the problem
help plsssssssssssssss
Answer:
∠1=87°
∠2=42°
∠3=44°
Step-by-step explanation:
180-(43+67)=180-110=70
∠3= 70-26=44
∠3+43°=∠1(Exterior angle property of triangle)
∠1=44+43=87°
∠1=45°+∠2(")
87-45=∠2
∠2=42
Answer:
1=87
2=42
3=44
Step-by-step explanation:
1, 3, 5, 7, 9, 9, 11, 11, 13, 14 }
Which box plot represents the data set?
PLEASE I NEED HELP CLICK ON THIS IMAGE
Answer:
There is no mode (B)
Step-by-step explanation:
please help with this algebra question
Answer:
i think its
[tex]P(x) = i ^{3}[/tex]
Step-by-step explanation: