To test the claim that the two samples described come from populations with the same mean, we can use a two-sample t-test.
(a) The degree of freedom is 27
(b) The test statistic is -2.67
(c) Determine the rejection region for the test of H0:μ1−μ2=0 and Ha:μ1−μ2≠0 : we do not reject the null hypothesis.
(d) |t| > 2.70
(1) The degree of freedom for the two-sample t-test is calculated as
df = n1 + n2 - 2 = 13 + 16 - 2 = 27.(2) The test statistic for the two-sample t-test is calculated as:
t = (¯x1 - ¯x2) / sqrt[(s1^2 / n1) + (s2^2 / n2)]Plugging in the values, we get:
t = (23 - 29) / sqrt[(6^2 / 13) + (5.9^2 / 16)] = -6 / sqrt[(36/13) + (34.81/16)] = -6 / sqrt[2.77 + 2.18] = -6 / sqrt[4.95] = -6 / 2.23 = -2.67(3) To determine the rejection region for the test, we can use a significance level of α = 0.01. For a two-tailed test with α = 0.01, the critical value for t is approximately 2.70. Since our test statistic (-2.67) is less than the critical value, we do not reject the null hypothesis.
(4) For the rejection region, we need to consider values of t that are either greater than or less than the critical value. Therefore, we need to consider |t| values that are greater than 2.70. |t| > 2.70.
Learn more about two-sample t-test here:
https://brainly.com/question/17438355
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If mBC = mBD =140 degrees then What is m
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Answer:
40°
Step-by-step explanation:
The sum of arcs of a circle is 360°, so the measure of arc CD is ...
CB +BD +CD = 360°
CD = 360° -140° -140° = 80°
The measure of inscribed angle B is half the measure of the arc it subtends:
∠B = arc CD/2 = 80°/2
∠B = 40°
Answer:
40 degrees
Step-by-step explanation:
Find the diameter and circumference of each circle given its radius of 4 cm. Use pi = 3.14 and round answers to the nearest tenth.
Identify each pair of angles as corresponding, alternate interior, alternate exterior, or a consecutive interior and solve for X
Answer:
those are corresponding angles
Step-by-step explanation:
6x=5x+10
-5x on both sides of the equal sign
x=10
decide if the two statements are logically equivalent statements, negations or neither
Answer:
Negations.
Step-by-step explanation:
The first statement is:
p ∧ q
(p and q)
This statement is only true when:
p = true
and
q = true.
And is false in all the other cases.
The other statement is:
¬q ∨ ¬p
(not q or not p)
This statement is only true if at least one of the elements is true, this happens if:
q =false (then ¬q = true)
or
p = false (then ¬p = true)
Then the first statement needs p and q to be true.
The second statement needs at least one of these to be false.
This means that when the first statement is true, the second statement is false.
When the first statement is false, the second one is true.
Then the statements are negations.
What is the solution to this system of equations? Show your work. 46 points
Answer:
The solutions to systems of equations are the variable mappings such that all component equations are satisfied—in other words, the locations at which all of these equations intersect. To solve a system is to find all such common solutions or points of intersection.
Step-by-step explanation:
Isolate x for 12=1/3x: x=36
[y - 36=9]
the solutions to the system of equation is:
y=45 x=36
help pls will give brainliest to correct answer
4.3 is ten as much as
Answer:
.43
Step-by-step explanation:
A football team loses 5 yards on each of 3
consecutive plays. What signed number
represents the team's total loss of yards on
the 3 plays?
PLEASE WRITE CORRECT ANSWER, I’LL GIVE BRAINLIEST!!
Answer:
15 yards within 3 consecutive plays
When dealing with an equation containing two variables, we can put the graph of the equation on the coordinate plane because the number of variables is equal to the number of dimensions that are needed to properly graph the solution. Each ads on a graph represents one variable in the equation being graphed. What would you use to graph the solution to an equation with one variable? What would you use to graph the solution to an equation with three variables Could you graph an equation containing more than four variables Explain. If you were given the graph of an equation with two variables on a coordinate plane, what would happen to the graph if all the y-values were increased by 19 What would happen to the graph it all the values were increased by 19 What would happen to the graph if all the y-values were multiplied by 2 or by 1129 Explain
Answer:
that sounds rlly confusing ngl hope u get it right
Step-by-step explanation:
A line that includes the points (9,j) and (10,4) has a slope of 1. What is the value of j?
Answer:
soln
A=(9,j)
x1=9,y1=j
B=(10,4)
x2=10,y2=4
slope=1
by using the fomulaof slope,
slope=y2-y1/x2-x1
1 =4-j/10-9
1 = 4-j/1
1=4-j
j=4-1
j=3
Answer:
j = 3
Step-by-step explanation:
(9 , j) ; [tex]x_{1}= 9[/tex] and [tex]y_{1} = j[/tex]
(10, 4) ; [tex]x_{2} = 10[/tex] and [tex]y_{2} = 4\\\\[/tex]
[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\ \frac{4 - j}{10-9} = 1\\\\\frac{4 - j}{1}=1[/tex]
4 - j = 1 {Subtract 4 from both sides}
-j = 1 -4
-j = -3 {Multiply both sides by (-1) }
j = 3
What is the slope of the equation c=2m+40
Answer:
Slope is m = 2
tep-by-step explanation:
Answer:
slope=2
Step-by-step explanation:
a seventh grade special education classroom consists of 14 girls and 16 boys. If 10 of the students are selected at random to help a fourth grade math class, determine the probability that all boys will be selected.
Answer:
8/30015 or .037%
Step-by-step explanation:
16/30 × 15/29 × 14/28 × 13/27 × 12/26 x 11/25 x 10/24 × 9/23 × 8/22 × 7/21
= 8/30015
If these numbers represent elevations in meters, which is the farthest away from sea level? Explain please I don't understand. (I've sorted them from least to greatest if that helps)
-12, -¾, -0.4, 0.4, ¾, 8
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Answer:
-12 m
Step-by-step explanation:
The question is equivalent to asking which of these plotted on a number line is farthest from zero.
Since you have put them in order, you're aware the extremes are -12 and +8. -12 is 12 units from zero, but +8 is only 8 units from zero. An elevation of -12 m is farthest from sea level.
11. Which of the following shows the first 5 terms in
the sequence defined by f(1) = -8, f(n) = 2f(n - 1)?
f. 2, -16, 128, -1024, 8192
h.2, -6, -14, -22,-30
g. -8, -16, -32, -64, -128
j. -8, -6, -4, -2,0
PLS HELP
Rusty has a cap collection. He has 5 shelves with 7 football team caps on each shelf. He has 3 shelves with 13 baseball caps on each shelf. He gives his best friend 5 football caps and 2 baseball caps.
How many caps, c, does Rusty have now?
Rusty has a total of ___ caps.
Answer:
19
Step-by-step explanation:
What's the perimeter?
Answer:
B. 24
Step-by-step explanation:
You add a+b+c.
A would be 5in
B would be 5in again because you can see they are the same
C would be 6in
Then you would add them all together.
5+5=10
10+6=16
Then you would multiply this by 1 1/2
This will equal out to 24
HOPE THIS HELPS
If comparing x^2 to x^3, which value of x gives the greatest difference:x=6,x=8,x=10?
Answer:
the value of x that gives the greatest difference is 10.
Step-by-step explanation:
Given;
x² and x³
values of x = 6, 8 and 10
When x = 6
6³ - 6² = 216 - 36 = 180
When x = 8
8³ - 8² = 512 - 64 = 448
When x = 10
10³ - 10² = 1000 - 100 = 900
Therefore, the value of x that gives the greatest difference is 10.
PLEASE ANSWER K WILL GIVE BRAINLIEST!!
topic: solving word problems involving linear inequalities in one variable.
Sarah is 4 years older than Jonalyn. Seven years ago, the sum of Sarah's age and
Jonalyn's age is greater than 26. What is the least age of Jonaly?
Answer:30
Step-by-step explanation:26+4
WILL GIVE BRAINLIEST!!!!!
Answer:
6
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
Lydia made some cookies, of which 1/3 were chocolate chip, ¾ of the remainder were gingersnaps and the rest were peanut butter. If Lydia made 4 dozen cookies altogether, how many peanut butter cookies did she make?
I mark brainliest by today
Answer:
8 peanut cookies
Step-by-step explanation:
4 x 12 = 48
48 x 1/3 = 2/3 left (16 chocolate chip)
48-16= 2/3 = 32 left
32 x 3/4 = 24 (24 gingersnaps)
32-24 = 8 ( 8 peanut cookies)
For the following right triangle, find the side length x.
X
12
35
help pls
Answer:
the length of side X is 37
PLEASE HELP
Select ALL the correct answers.
The histogram below shows the number of goals scored by a sample of players in Joel's soccer league throughout the season.
Which of the following are true about the data?
The players in Joel's league scored between 1 and 30 goals.
The majority of players scored between 1 and 5 goals.
The majority of players scored between 1 and 10 goals.
The data distribution is skewed to the right.
The data distribution is skewed to the left.
Answer:
1, 3 and 4 options are true about the data.
Answer:
A.
C.
D.
Step-by-step explanation:
Study Island says so.
PLEASE HELP ASAPPPP!!!!!!
Answer:
B and C
Step-by-step explanation:
because AC is shorter than DF
because AB is different to DE
10% of ___ is 14
what is the number
Answer:
140 :)
Hope this helps
Step-by-step explanation:
Tell me if I am right
Which of the following polynomials is guaranteed by the Intermediate Value Theorem to have a zero on the interval [−4,−1]?
Answer:
3
Step-by-step explanation:
because 4-1=3
The polynomials are not given, but we can answer in a general way.
Basically, what you need to test is:
Sign[p(-4)] ≠ Sign[p(-1)]
But let's see why.
The intermediate value theorem says that, if for two values a and b such that:
a < b
If we have a given continuous function such that:
f(a) < 0 and f(b) > 0.
or
f(a) > 0 and f(b) < 0
Then there exists a value c
a < c < b
Such that:
f(c) = 0
So to find the correct polynomial, you just need to evaluate it in both extremes of the interval and you should see that the sign changes.
This means that if p(x) is the polynomial, then you should have:
Sign[p(-4)] ≠ Sign[p(-1)]
This will imply, by the intermediate value theorem, that the polynomial is equal to zero for some given value on the given interval.
If you want to learn more, you can read:
https://brainly.com/question/23792383
The altitude of a triangle is 5 less than its base. The area of the triangle is 42 square inches. Find its base and altitude.
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Answer:
base: 12 in
altitude: 7 in
Step-by-step explanation:
The formula for the area of a triangle is ...
A = 1/2bh
Filling in the given information, we have ...
42 = 1/2(b)(b -5)
b^2 -5b -84 = 0 . . . . multiply by 2, put in standard form
(b -12)(b +7) = 0 . . . . factor
The only positive solution is b = 12
The base is 12 inches; the altitude is 7 inches.
Find out the area of parallerogram
HELP ME PLEASEEEEEEEEEEEEE
Answer:
d
Step-by-step explanation:
Brₐinliest plz close to leveling up
10
TIME REMAININ
58:05
The point plotted on the number line is a
5
What is the approximate value of x?
4
9
17
20
Answer:
17
Step-by-step explanation:
[tex]\sqrt{x} = 4.1[/tex]
16 is close to 4^2. Only other viable option is 17. GL ON UR TEST :D
Is (0,0) (0,100) endpoints of a vertical line, a horizontal line, or neither?
Answer:
it's a vertical line.
Step-by-step explanation:
only the Y coordinate changes making it vertical