Answer:
Step-by-step explanation:
The summary of the statistics given include:
population mean [tex]\mu[/tex] = 15
sample mean [tex]\oerline x[/tex] = 13.5
sample size n = 16
standard deviation s = 6
The level of significance ∝ = 0.10
The null and the alternative hypothesis can be computed as follows:
[tex]\mathtt{H_o: \mu = 15} \\ \\ \mathtt{H_1 : \mu \neq 15}[/tex]
Since this test is two tailed, the t- test can be calculated by using the formula:
[tex]t = \dfrac{\overline x - \mu}{\dfrac{\sigma }{\sqrt{n}}}[/tex]
[tex]t = \dfrac{13.5 - 15}{\dfrac{6}{\sqrt{16}}}[/tex]
[tex]t = \dfrac{- 1.5}{\dfrac{6}{4}}[/tex]
[tex]t = \dfrac{- 1.5\times 4}{6}}[/tex]
[tex]t = \dfrac{- 6.0}{6}}[/tex]
t = - 1
degree of freedom = n - 1
degree of freedom = 16 - 1
degree of freedom = 15
From the standard normal t probability distribution table, the p value when t = -1 at 0.10 level of significance, the p - value = 0.3332
Decision Rule: We fail to reject the null hypothesis since the p-value is greater than the level of significance at 0.10
Conclusion: Therefore, we can conclude that there is insufficient evidence at the 0.10 level of significance to conclude that the population mean μ is different than 15.
Suppose you are conducting a study about how the average US worker spends time over the course of a workday. You are interested in how much time workers spend per day on personal calls, emails, and social networking websites, as well as how much time they spend socializing with coworkers versus actually working.
The most recent census provides data for the entire population Of U.S. workers on variables such as travel time to work, time spent at work, and break time at work. The census, however, does not include data on the variables you are interested in, so you obtain a random sample of 82 full-time workers in the United States and ask about personal calls, e-mails, and so forth. You are curious about how your sample compares with the census, so you also ask the workers the same questions about work that are asked in the census.
Suppose the mean break time per day from the most recent census is 29.6 minutes, with a standard deviation of 16.0 minutes. Your sample of 82 U.S. workers provides a mean break time per day of 31.9 minutes with a sample standard deviation of 22.4 minutes.
Organize this information by completing the following table.
μ = _________ M= __________
σ= _________ s= ___________
σM = _______ sM = _________
Answer:
lol
Step-by-step explanation:
Now don't get us wrong – not all of these answers raise this excellent question
The value of [tex]\mu[/tex] = 29.6, M = 31.9, [tex]\sigma[/tex] = 16 , s = 22.4, [tex]\sigma_m[/tex] = 3.121, and [tex]\rm S_m[/tex] = 2.473.
It is given that the mean break time per day from the most recent census is 29.6 minutes with a standard deviation of 16 minutes.
It is required to organize the information in a table if the sample size is 82.
What is the margin of error(MOE)?It is defined as an error that gives an idea about the percentage of errors that exist in the real statistical data.
The formula for finding the MOE:
[tex]\rm MOE = Z_{score}\frac{s}{\sqrt[]{n} }[/tex]
Where is the z score at the confidence interval
s is the standard deviation
n is the number of samples.
We know:
[tex]\rm \sigma_m= \frac{\sigma^2}{n}[/tex]
We have,
[tex]\rm \sigma = 16 \ and \ n = 82[/tex]
[tex]\rm \sigma_m= \frac{16^2}{82}[/tex]
[tex]\rm \sigma_m= 3.121[/tex]
For [tex]\rm S_m[/tex]
[tex]\rm S_m = \frac{s}{\sqrt{n} }[/tex]
We have,
s = 22.4 and n = 82
[tex]\rm S_m = \frac{22.4}{\sqrt{82} }[/tex]
[tex]\rm S_m = 2.473[/tex]
Thus, the value of [tex]\mu[/tex] = 29.6, M = 31.9, [tex]\sigma[/tex] = 16 , s = 22.4, [tex]\sigma_m[/tex] = 3.121, and [tex]\rm S_m[/tex] = 2.473.
Learn more about the Margin of error here:
brainly.com/question/13990500
4. Eric has 54 yards of fencing to use for a flowerbed. Some possible measurements are
shown below. For which flowerbeds does Eric have enough fencing? Color in all the
possible answers.
A.
length = 30 yards
area = 300 square yards
B.
length = 20 yards
width = 5 yards
C.
width = 12 yards
perimeter = 48 yards
D.
length = 26 yards
width = 22 yards
E.
length = 16 yards
width = 14 yards
F.
width = 9 yards
area = 162 square yard
Answer:
B,C,F
Step-by-step explanation:
A=L*W
P=2L+2W
P≤54
for A, 2L is already greater than 60
B works as 2W+2L in this case is 50
C states that perimeter is less than 54
D doesn't work, as 2L+2W=96
E doesn't work, see above, P=60
F, area=W*L
162/9=18
L=18
2L+2W=48, so F works
Answer:
trả lời:
B,C,F
Giải thích từng bước:
A = L * W
P = 2L + 2W
Trang ≤54
đối với A, 2L đã lớn hơn 60
B hoạt động như 2W + 2L trong trường hợp này là 50
C nói rằng chu vi nhỏ hơn 54
D không hoạt động, vì 2L + 2W = 96
E không hoạt động, xem ở trên, P = 60
F, diện tích =W*L
162/9=18
L =18
2L + 2W = 48, vì vậy F hoạt động
Robert, a ninth-grader, has just been told, "The reason you’re having so much trouble with division is that you have never mastered compound multiplication. The Math Basic Skills Tests have indicated this quite clearly. We are going to provide you with instruction in multiplication immediately." Robert’s teacher made what kind of decision relative to his skill level?
Answer:
Diagnostic
Step-by-step explanation:
The teacher made a diagnostic decision relative to Roberts skill level. Before she made this decision, she first started with the process of evaluation to know his strength and also establish his weakness. With the knowledge she has gotten she now plans to him with meaningful learning and an efficient curriculum that would help him in mastering multiplication first before division.
Guys, can you help me out? I would really appreciate it! GIVING OUT BRAINLIEST!!
Answer:
C:750$
Step-by-step explanation:
The food expense is 15% of total income 5000$
=> food expense: (15/100) x 5000 = 750$
Simply this rational expression.
URGENT! PICTURE INCLUDED
Answer:
35n/17r
Step-by-step explanation:
There is only 3/4 cup of ice cream left. If 3 friends share the ice cream equally, how much ice cream will they each get?
Answer:
1/4 cup each
Step-by-step explanation:
Take the amount of ice cream and divide by 3
3/4÷ 3
Copy dot flip
3/4 * 1/3
Rewriting
3/3 * 1/4
1/4 cup each
(08.01 LC)
4
A cylinder has a height of 5 meters and a diameter that is 4 times the measure of the
height. Using 3.14 for pi, which of the following can be used to calculate the volume?
Answer:
this answer requires that you do a little solving to find all the dimensions we need for the volume.
We know that H (height) = 2m
Diameter = 5 x height, so
Diameter = 5 x 2m = 10m
If you have the formula for finding the volume of a cylinder, it is basically the area of the circular base x cylinder height. You may know already that the area of a circle is (pi) x radius2
So this will be 2 (the height) x (pi) x r2
As we just figured out, the DIAMETER is 10, so the radius is half the diameter = 5.
This brings our volume to 2 x (pi) x 52
= 2 x (pi) x 25
2x25 = 50, so we have 50 x (pi).
Pi = 3.14
50 x 3.14 = 157
And don't forget your units = 157 m3
What is a categorical variable
It's a variable that deals with various labels, rather than the usual type of numeric variable you may be used to.
One example of a categorical variable is color. You could have red, green, blue, yellow, and orange as the five choices for your categorical variable. Each color is a label or category.
This is an example of a qualitative variable. We don't have any numeric data attached to color. They're simply names or labels. In contrast, a quantitative variable is something like a person's height since a number is attached here (more specifically its a continuous quantitative variable).
2 less than five times a number.
Answer:
X will be the number.
5 times that number X is 5X
2 less than 5 times the number is 5X - 2
Hope this helps! Plz mark brainliest! （づ￣3￣）づ╭❤～
Answer
5x + 2
Step-by-step explanation:
5x + 2 or 5x - 2
Find the perimeter of the image below
Translate the sentence into an equation.
Four times the sum of a number and 7 equals 3
Answer:
[tex]4(x+7)=3[/tex]
Step-by-step explanation:
Since the sum is being multiplied 4 different times, it's best to write the equation of the sum and the number 4 being in the outside. and since it's saying it equals 3, just add the equal sign
Hope this helps!
- doomdabomb
When a number is doubled and the
result is decreased by 4 the answer
is 19. Find the number.
Answer:
7.5
Step-by-step explanation:
CHứng minh rằng trong hệ g - phân với 2
PLEASE HELP
-1/2m=-9
Show your work in details if you can, I have a hard time understanding this.
Answer:
m=18
Step-by-step explanation:
-1/2m=-9
-m=-18
m=18
[tex] \begin{cases} \\ \\ \large\bf{\green{ \implies}} \tt \: - \: \frac{1}{2} \: m \: = \: - 9 \\ \\ \large\bf{\green{ \implies}} \tt \: - \frac{1 \: m}{2} \: = \: - 9 \\ \\ \large\bf{\green{ \implies}} \tt \: - 1m \: = \: - 9 \: \times \: 2 \\ \\ \large\bf{\green{ \implies}} \tt \: - 1m \: = \: - 18 \\ \\ \large\bf{\green{ \implies}} \tt \: m \: = \: \frac{ \cancel- 18}{ \cancel - 1} \\ \\ \large\bf{\green{ \implies}} \tt \: m \: = \: \frac{18}{1} \\ \\ \large\bf{\green{ \implies}} \tt \: m = \: 18 \: \\ \\ \end{cases}[/tex]
PLEASE HELP!! (3/5) - 50 POINTS -
Answer:
infinite number of solutions
Step-by-step explanation:
A dependent system is where the two equations are the same line has has an infinite number of solutions
Answer:
[tex]\boxed{\sf D) \ an\ infinite \ number \ of \ solutions}[/tex]
Step-by-step explanation:
A dependent system of equations has an infinite number of solutions.
When you graph the system of equations, both the equations represent the same line and have an infinite number of solutions.
if pentagon OPQRS is dilated by a scale factor or ?
from the origin to create O'P'Q'R'S: what is the ordered pair of point S'?
Answer:
Option (D) : (3.5, 8.75)
Jamal traveled a distance of 520 miles in 9 hours. Part of the time, his rate of speed was 55 mph. The rest of the time his rate of speed was 60 mph. How long did Jamal travel at each rate?
Answer:
jamal traveled 5 hours at 55mph and 4 hours at 60mph
Step-by-step explanation:
time x will be time jamal travels 55 mph (in hours)
time y will be time jamal travels 60 mph (in hours)
distanced traveled 520 miles
distance = time*speed
520= x*55+y*60
520=55x+60y
jamal traveled for 9 hours
9 hours is composed to the two times x and y
9=x+y
then
x=9-y
substitute into 520=55x+60y
520=55(9-y)+60y
520=495-55y+60y
520=495+5y
25=5y
y=5
x+y=9
x+5=9
x=4
time x is time jamal travels 55 mph (in hours)
time y is time jamal travels 60 mph (in hours)
jamal traveled 5 hours at 55mph and 4 hours at 60mph
Find the sum of the infinite geometric series -27, -9, -3, … The ratio is /3 and u1 is -27
===================================================
Work Shown:
a = -27 = first term
r = 1/3 = common ratio, note how this is between -1 and 1
We start with -27 and multiply by 1/3 each time to get the next term
S = infinite sum
S = a/(1-r), which only works because -1 < r < 1 is true
S = -27/(1-1/3)
S = -27/(2/3)
S = (-27/1) divided by (2/3)
S = (-27/1) times (3/2)
S = (-27*3)/(1*2)
S = -81/2
As you generate and add up the terms of the sequence, the infinite sum slowly starts to approach -81/2 = -40.5; we'll never actually achieve this sum exactly. Think of it as approaching an asymptote.
PLEASE HELP!!!
Evaluate the expression when b=4 and y= -3
-b+2y
Answer: -10
Step-by-step explanation: All you have to do is plug the values into the equation. -4+2(-3). Then you solve the equation using PEDMAS.
1. -4+2(-3)
2. -4+(-6)
3.-4-6
4.-10
Answer:
8
Step-by-step explanation:
-b + 2y
if
b = 4
and
y = 3
then:
-b + 2y = -4 + 2*6 = -4 + 12
= 8
A letter is chosen from the word 'brilliant'. Determine the probability that it will be: Give your answers in their lowest terms.
Answer:
Step-by-step explanation:
brilliant has 9 letters
brilliant has 1 B (1/9)
brilliant has 1 R (1/9)
brilliant has 2 I's (2/9)
brilliant has 2 L's (2/9)
brilliant has 1 A (1/9)
brilliant has 1 N (1/9)
brilliant has 1 T (1/9)
I need step by step solution.
Answer: it is an exponential decay function
Step-by-step explanation:
Since 0.3 is less than 1 then increasing the value of the x will lead to the decrease of the value function y
14 over 17 as a decimal rounded to the nearest tenth
Step-by-step explanation:
14/17 is 0.82352941176
To the nearest tenth is 0.8
50. Carrie is running for mayor in her local city election. In order to win, she must earn over 50% of the votes. ecides to hire a couple of Statistics students to help her measure the progress in her campaign through polling. She is hoping to find sufficient evidence (a=0.05) that she will in fact win the election with more than 50% of the vote. The Statistics students test the following hypotheses, where p represents the proportion of all voters who will vote for Jemmy. which of the following statements would be true if a Type I error is made? (Select all that apply.)
a. Carrie ends up winning the election.
b. The students find a p-value less than 0.05 .
c. Carrie ends up losing the election.
d. The students find a p-value greater than 0.05
e. The students make the conclusion that Carrie does not have more than 50% of the vote.
f. The students make the conclusion that Carrie will have more than 50% of the vote. e.
Answer:
b. The students find a p-value less than 0.05
c. Carrie ends up losing the election.
e. The students make the conclusion that Carrie does not have more than 50% of the vote.
Step-by-step explanation:
Null hypothesis is a statement that is to be tested against the alternative hypothesis and then decision is taken whether to accept or reject the null hypothesis.
Type I error is one in which we reject a true null hypothesis.
In the given scenario Type I error will be the one where students incorrectly estimates the p value and reject the null hypothesis when it was true. This error will result in losing the elections.
What is the product of 2p + q and -39 - 6p + 1?
0 -12p2 - 6pq – 4p - 32 + 1
O-12p2- 12pq + 2p – 392 +9
- gp² q² + 12pq - 2p + 9
12p2 + 12pq +2p + 302 + 9
Answer:
Option (2)
Step-by-step explanation:
In this question we have to find the multiplication of the two expressions.
(2p + q)(-3q - 6p + 1)
= 2p(-3q - 6p + 1) + q(-3q - 6p + 1) [By distributive property]
= -6pq - 12p²+ 2p - 3q² - 6pq + q
= -12p² - (6pq + 6pq) - 3q² + 2p + q
= -12p² - 12pq + 2p - 3q² + q
Therefore, Option (2) will be the correct option.
It always travels at 3×108 m/s.
Answer:
it's electromagnetic radiatum
Power Function:
Analyze and model the power function: Exercise 2
Answer:
Given function:
f(x) = 2.8x²A. The domain is all positive integers (number of people can't be negative), so as the range.
B. x = 19.2
f(19.2) = 2.8(19.2)² = 1032.192 tonsC. f(x) = 655432
2.8x² = 655432 x² = 655432 /2.8x² = 234082.857143x = √234082.857143x = 483.821100349 millionD. x = 7530
f(7530) = 2.8(7530)² = 158762520 tonsA. y≥13x+6
y<−3x−6
y>x
b. y≥3x+6
y<−13x−6
y>x
C. y≤3x+6
y>−13x−6
y>x
D.y≤13x+6
y>−3x−6
y>x
9514 1404 393
Answer:
D. y≤1/3x+6; y>−3x−6; y>x
Step-by-step explanation:
The shading is below the solid line, so the answer must include the form ...
y ≤ ( )
That solid line has a rise of 1 for each run of 3, so its slope is ...
m = rise/run = 1/3
The only answer choice with y ≤ 1/3x + ( ) is the last one.
y ≤ 1/3x+6y > −3x−6y > xY * 3 = 81 please i need it for today
Answer:
Y = 27
Step-by-step explanation:
Y * 3 = 81
Divide each side by 3
Y * 3/3 = 81/3
Y = 27
Calculate: ㅤ [tex]\lim_{x \rightarrow +\infty}x(\sqrt{x^{2}-1}-x)[/tex]
Answer:
[tex]\displaystyle \large \boxed{ \lim_{x \rightarrow +\infty} {x\left(\sqrt{x^2-1}-x\right)}=-\dfrac{1}{2}}[/tex]
Step-by-step explanation:
Hello, please consider the following.
[tex]\sqrt{(x^2-1)}-x\\\\=\sqrt{x^2(1-\dfrac{1}{x^2})}-x\\\\=x\left( \sqrt{1-\frac{1}{x^2}}-1\right)[/tex]
For x close to 0, we can write
[tex]\sqrt{1+x}=1+\dfrac{1}{2}x-\dfrac{1}{8}x^2+o(x^2)\\\\\ \text{x tends to } +\infty \text{ means }\dfrac{1}{x} \text{ tends to 0}\\\\\text{So, when }\dfrac{1}{x}\text{ is close to 0, we can write.}\\\\\sqrt{1-\dfrac{1}{x^2}}=1-\dfrac{1}{2}\dfrac{1}{x^2}-\dfrac{1}{8}\dfrac{1}{x^4}+o(\dfrac{1}{x^4})[/tex]
So,
[tex]x\left( \sqrt{1-\frac{1}{x^2}}-1\right)\\\\=x(1-\dfrac{1}{2}\dfrac{1}{x^2}+o(\dfrac{1}{x^2})-1)\\\\=-\dfrac{1}{2x}+o(\dfrac{1}{x})[/tex]
It means that
[tex]\displaystyle \lim_{x \rightarrow +\infty} {x\left(\sqrt{x^2-1}-x\right)}\\\\=\lim_{x \rightarrow +\infty} {-\dfrac{x}{2x}}=-\dfrac{1}{2}[/tex]
Thank you
last week a worm was 10 millimeters long. This week it is 13 millimeters long. What is the percent of increase of the worm's length from last week to this week?
Answer:
23% increase
Step-by-step explanation:
13 - 10 = 3
3/13 = 0.2307 = 23%
Hope that helped!!! k