Answer:
a) The margin of error for a 90% confidence interval when n = 14 is 18.93.
b) The margin of error for a 90% confidence interval when n=28 is 12.88.
c) The margin of error for a 90% confidence interval when n = 45 is 10.02.
Step-by-step explanation:
The t-distribution is used to solve this question:
a) n = 14
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 14 - 1 = 13
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 13 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.7709
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.7709\frac{40}{\sqrt{14}} = 18.93[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The margin of error for a 90% confidence interval when n = 14 is 18.93.
b) n = 28
27 df, T = 1.7033
[tex]M = T\frac{s}{\sqrt{n}} = 1.7033\frac{40}{\sqrt{28}} = 12.88[/tex]
The margin of error for a 90% confidence interval when n=28 is 12.88.
c) The margin of error for a 90% confidence interval when n = 45 is
44 df, T = 1.6802
[tex]M = T\frac{s}{\sqrt{n}} = 1.6802\frac{40}{\sqrt{45}} = 10.02[/tex]
The margin of error for a 90% confidence interval when n = 45 is 10.02.
Anyone else been saved by brainly?
Answer:
Yes, many times actually. I've aced tests because of brainly
Step-by-step explanation:
What is the area of this figure? I give brainliest and thanks :)
Answer:
591 square cm
Step-by-step explanation:
25 times 23 =575
4 times 4 =16
575 plus 16=591
Answer:
591
Step-by-step explanation:
23x25=575+(4x4)=591
Max used a base ten blocks to solve the division problem 9.15 divided by 3.
Which set of blocks shows the quotient for 9.15 divided by3?
A. 3 Ones,5 Tenths,0 Hundredths
B. 5 ones, 0 tenths, 3 hundredths
C. 0 ones, 3 tenths, hundredths
D 3 ones, 0 tenths, 5 hundredths
Answer:
D 3 ones, 0 tenths, 5 hundredths
Step-by-step explanation:
9.15 divided by 3.
915/3 = 305
Then, moving the decimal point two units to the left, we have 3.05.
The last number before the decimal point is called ones, which means that we have 3 ones.
The first number after the decimal point is called tenths, which means that we have 0 tenths.
The second number after the decimal point is called hundredths, which means that we have 5 hundredths.
The correct answer is given by option D.
A 29-foot rope is cut into two pieces. The longer piece is 2 feet longer than twice the shorter piece. How long is each piece?
Answer:
20 is the longer piece, 9 is the shorter piece
Step-by-step explanation:
9*2=18
18+2=20
20+9=29
true or false
There are four quartiles altogether,
Which is a greater fraction 2/5 or 1
1 is greater that 2/5
1>2/5
Answer:
1 is a whole number (an integer) and 2/5 is a proper fraction
Please answer ASAP. Do not mind the purple thing.
Answer:
1 4
2 8
3 12
6 24
for next year, its 32
Step-by-step explanation:
cauz 8 divided by 2 is 4
Also since it goes up by four, 3 is 12 and 6 is 24
Someone please help me answer this!!!
eAnswer:
B, C, E, F
Step-by-step explanation:
CAN U PLZ ANSWER THIS ITS FOR A TEST
Answer:
A. 300in^2
Step-by-step explanation:
Area=LWH
15*10*2=300
Evaluate. 72 - 3 + 9 × 8 ÷ 2 w =
Answer:
Step-by-step explanation:
Request of activities so increase then division, at that point deduction and expansion.
9*8 = 72
72/2 = 36
72-3 = 69
69+36 = 105
Another way of saying it is:
Utilize the request for tasks to improve on mathematical articulations. The request is brackets, types and roots, augmentation and division, expansion and deduction. Duplication and division are "something similar" so you would utilize the first that happens from left to right.
Bit by bit clarification:
7^2 - 3 + 9 x 8 ÷ 2
49 - 3 + 9 x 8 ÷ 2
49 - 3 + 72 ÷ 2
49 - 3 + 36
49 - 39
W=10
Brainliest?
PLEASE HELPP Btw letter D. Says 80
Which expression is equivalent to ( + )?
Answer:
No entiendo que es lo que hay qué hacer
need a answer for this question
Answer:
The values of a, b, and c determine the shape and position of the parabola. The domain of a function is the set of all real values of x that will give real values for y. The range of a function is the set of all real values of y that you can get by plugging real numbers into x. The quadratic parent function is y = x2.
Step-by-step explanation:
just read carefully and look it up on symbolab
You want to buy a pet rabbit that costs $242. You already have $62 and you plan to save $12 per week. If w represents the number of weeks until you have enough money to buy the rabbit, what equation could you use to find the value of w?
A- 62+12w = 242
B- 62 - 12w = 242
C- 12 - 62w = 242
D- 12 + 62w = 242
Answer:
A. 62 + 12w = 242
hope it can help you
Company A is trying to sell its website to Company B. As part of the sale, Company A claims that the average user of their site stays on the site for 10 minutes. Company B is concerned that the mean time is significantly less than 10 minutes. Company B collects the times (in minutes) below for a sample of 17 users. Assume normality. Assume normality.
1.2
2.8
1.5
19.3
2.4
0.7
2.2
0.7
18.8
6.1
6
1.7
29.1
2.6
0.2
10.2
5.1
0.9
8.2
Conduct the appropriate hypothesis test for Company B using a 0.08 level of significance.
1. What are the appropriate null and alternative hypotheses?
a. H0: μ = 10 versus Ha: μ ≠10
b. H0: μ = 10 versus Ha: μ > 10
c. H0: x = 10 versus Ha: x ≠10
d. H0: μ = 10 versus Ha: μ < 10
2. What is the test statistic? Give your answer to four decimal places.
3. What is the critical value for the test? Give your answer to four decimal places.
4. What is the appropriate conclusion?
Answer:
H0 : μ = 10
H1 : μ < 10
Test statistic = - 2.0415
Critical value = -1.4051
There is significant evidence to conclude that the mean time a user stays on site is less than 10 minutes
Step-by-step explanation:
The null and alternative hypothesis :
H0 : μ = 10
H1 : μ < 10
The test statistic :
From the data Given, using calculator :
Sample mean, xbar = 6.3
Sample standard deviation, s = 7.90
Test statistic = (xbar - μ) ÷ (s/sqrt(n))
Number of samples given is 19 and not 17 as stated in the question.
Test statistic = (6.3 - 10) ÷ (7.90 / sqrt(19))
Test statistic = - 3.7 / 1.8123842
Test statistic = - 2.0415
The critical value for the test :
At α = 0.08 ;
Critical value = -1.4051
Since, Test statistic is < Critical value ;
-2.0415 < - 1.0451 ; we reject the Null
There is significant evidence to conclude that the mean time a user stays on site is less than 10 minutes
What is the area of this figure? I give brainliest :)
Answer:
[tex] 217 \: {mi}^{2} [/tex]
Step-by-step explanation:
Area of the figure
[tex]= 13*7 + 21 * 6 \\ = 91 +12 6 \\ = 217 \: {mi}^{2} [/tex]
Given the following information, find the length of the missing side. Leave your answer as a simplified radical.
Given:
A figure of a triangle, AD = 6 and DB = 2.
To find:
The length of AC.
Solution:
In a right angle triangle,
[tex]\cos \theta =\dfrac{Base}{Hypotenuse}[/tex]
In triangle ACD,
[tex]\cos A =\dfrac{AD}{AC}[/tex]
[tex]\cos 30^\circ =\dfrac{6}{AC}[/tex]
[tex]\dfrac{\sqrt{3}}{2}=\dfrac{6}{AC}[/tex]
[tex]\sqrt{3}\times AC=6\times 2[/tex]
[tex]AC=\dfrac{12}{\sqrt{3}}[/tex]
[tex]AC=\dfrac{12}{\sqrt{3}}\times \dfrac{\sqrt{3}}{\sqrt{3}}[/tex]
[tex]AC=\dfrac{12\sqrt{3}}{3}[/tex]
[tex]AC=4\sqrt{3}[/tex]
Therefore, the length of AC is [tex]4\sqrt{3}[/tex] units.
Help with this question, please
Answer:
I'm pretty sure 32 but I could be wrong
Step-by-step explanation:
I'm sorry if it's wrong
5. A book of length 20 cm and breadth 5 cm is kept on a table, its area is
(a) 50 cm
(b) 100 cm
(c) 150 cm
(d) 200 cm
What shape is this no links please help me no links
Answer:
Rectangular Prism.
Answer:
Rectangular prism
Explanation:
It's common sense
Find The distance between the pair of points
G(0, - 5) and H(0, - 10
Answer:
5
Step-by-step explanation:
The heights,in inches,of each of the players on a girls' basketball team are shown. 66,65,66,70,66,68,63,60,66,68,63,65 Which box plot correctly represents the data?
Given:
Consider the below figure attached with this question.
The given data set is:
66, 65, 66, 70, 66, 68, 63, 60, 66, 68, 63, 65
To find:
The correct box plot for the given data set.
Solution:
We have,
66, 65, 66, 70, 66, 68, 63, 60, 66, 68, 63, 65
Arrange the data set in ascending order.
60, 63, 63, 65, 65, 66, 66, 66, 66, 68, 68, 70
Divide the data set in 4 equal parts by using the parenthesis.
(60, 63, 63), (65, 65, 66), (66, 66, 66), (68, 68, 70)
Minimum value = 60
First quartile: [tex]Q_1=\dfrac{63+65}{2}[/tex]
[tex]Q_1=64[/tex]
Median: [tex]M=\dfrac{66+66}{2}[/tex]
[tex]M=66[/tex]
Third quartile: [tex]Q_3=\dfrac{66+68}{2}[/tex]
[tex]Q_3=67[/tex]
Maximum value = 70
It means the end points of the box plot are 60 and 70. The box lies between 64 and 67. Line inside the box at 66.
The box plot in option A is the only box plot that satisfy the above conditions.
Therefore, the correct option is A.
How many digits are in 385,604 ?
Answer:
6
Step-by-step explanation:
because 385,604 there is 6 digits
Which of the following questions are statistical questions? Explain why or why not for each one.
(a) Who is the current vice president of the USA?
(b) How many slices of pizza can sixth grade students eat at a pizza party?
(c) How many languages does Sally speak?
Answer:
b
Step-by-step explanation:
A is not a statistical question because its not asking for a number A is asking who is vice president of the USA.
B is a statistical question because its asking a math question how many students eat at the pizza party and its a math problem.
C is not statistical because its just asking how many languages sally can speak they don't add another problem.
Hope its helps :)
solve the following equations
simultaneously;
2x-3y=0
2x-y=8
Answer:
x=6 y=4
Step-by-step explanation:
So, what I did was change positions of 2x to -2x=0-3y -2x=-8-y. Because -2x equal to two equations, I did -3y=-8-y. Once simplified, that equals to y=4. I plugged in to 2x-y(or 4)=8. Once that was simplified, 2x=12 or x=6.
PLS HELP THIS IS TRIGONOMETRY!!!! PLS SHOW STEPS
Answer:
third side =√{30²+16²)=34
sin theta/2=16/34
theta/2=sin-¹(16/34)
theta=28.07×2=56.14
Assume a normal distribution. From the Baltimore facility, 145 samples were obtained and compared with a sample of 128 from the Burlington facility. The mean hours per week and standard deviations for middle management who had been with the organizations for approximately the same length of time were:
Answer:
Hello your question has some missing part below is the missing part
The mean hours per week and standard deviations for middle management who had been with the organizations for approximately the same length of time were: Baltimore facility, Burlington facility Mean 52.5 Mean 39.7
Standard deviation 19.7 Standard Deviation 8.9Using this data, complete the following:
State your hypothesis and conduct a hypothesis testing using a significance of 0.10.
answer : We will reject the Null hypothesis
Step-by-step explanation:
μ1 = mean working hours for Baltimore facility
μ2 = mean working hours for Burlington facility
Hence the Hypothesis are :
H0 : μ1 = μ2
Ha : μ1 > μ2
Next: Conduct a hypothesis testing
we will apply Z - testing attached below is the hypothesis testing
n1 = 145 , X1 = 52.5 , δ1 = 19.7 ( Baltimore )
n2 = 128, X2 = 39.7 , δ2 = 8.9 ( Burlington )
Unit 10: Circles ** please show how you got the answer ** i know the answer is 108° but i don’t know how to get it.
Answer:
108 degrees
Step-by-step explanation:
you gotta add the degrees up with a protractor or you add 54 plus 54 which equals 108
Thw local bakery makes 7 trays of oatmeal cookies each morning.Wach tray holds 22 cookies. About how many does the bakery make each morning
A.140
B.180
C.210
D.300
Five hundred students were asked whether they perfer apple juice or orange juice.
Answer:
Step-by-step explanation:
240 said apple juice and 340 said orange juice.