The results of a series of surveys revealed a population with a mean of 4.73 and a standard deviation of 0.865. If each survey has a sample size of 200, which value falls within the interval where 95% of the sample means occur? A. 4.88 B. 4.63 C. 4.91 D. 4.55
Answers
Answer:
4.63
Please give me brainliest, I really need it.
The value of 4.63 falls within the interval (4.66, 4.791) where 95% of the sample means occur option (B) is correct.
What is a confidence interval for population standard deviation?It is defined as the sampling distribution following an approximately normal distribution for known standard deviation.
The formula for finding the confidence interval for population standard deviation as follows:
[tex]\rm s\sqrt{\dfrac{n-1}{\chi^2_{\alpha/2, \ n-1}}} < \sigma < s\sqrt{\dfrac{n-1}{\chi^2_{1-\alpha/2, \ n-1}}}[/tex]
Where s is the standard deviation.
n is the sample size.
[tex]\chi^2_{\alpha/2, \ n-1} and \chi^2_{1-\alpha/2, \ n-1}[/tex] are the constant based on the Chi-Square distribution table.
α is the significance level.
σ is the confidence interval for population standard deviation.
Calculating the confidence interval for population standard deviation:
We know significance level = 1 - confidence level
It is given that:
Mean of the population x = 4.73
Standard deviation s = 0.865
Sample size n = 200
The interval where 95% of the sample means occur:
Lower limit = 4.73 - 0.865/√200
Lower limit = 4.66
Upper limit = 4.73 + 0.865/√200
Upper limit = 4.791
The interval = (4.66, 4.791)
Thus, the value of 4.63 falls within the interval (4.66, 4.791) where 95% of the sample means occur option (B) is correct.
Learn more about the confidence interval here:
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Related Questions
In Triangle JKL, K is 3 times the measure of J, and L is 8 times the measure of J. Find the measure of each angle in Triangle JKL.
Answers
Answer: The measure of angle J = 15°, measure of angle K =45° and the measure of angle J = 120°.
Step-by-step explanation:
Let the measure of angle J be x.
Then, the measure of angle K will be 3x
and the measure of angle L = 8x
Since the sum of all angles of a triangle is 180 degrees.
Then,
angle J + angle K + angle L = 180 degrees
⇒ x+3x+8x =180
⇒ 12x = 180
⇒x = 15 [divide both sides by 12]
Hence, the measure of angle J = 15°, measure of angle K = 3(15) =45° and the measure of angle J = 8 (15) = 120°.
i.e. the measure of angle J = 15°, measure of angle K =45° and the measure of angle J = 120°.
The diagonal of a suitcase measures 30 inches and the height is 18 inches. What is the width of the suitcase to the
nearest Inch?
Answers
Answer:
Step-by-step explanation:
By the Pythagorean Theorem we know
h^2=x^2+y^2 (where h is the hypotenuse and x and y are sides of a right triangle)
w^2+18^2=30^2
w^2=30^2-18^2
w^2=900-324
w^2=576
w=24 in
Which of the following is the solution to IX-131< 18?
Inequalities
Answers
Answer:
is there supposed to be a pic attached I need more info
Evan jarred 10 liters of jam after 2 days. How many days does Evan need to spend making jam if he wants to jar 15 liters of jam in all? Assume the relationship is directly proportional.
Answers
Find liters per day by dividing the amount made by the number of days :
10 liters / 2 days = 5 liters per day.
Find how much more he needs to make by subtracting the amount made from the total he wants:
15 liters - 10 liters = 5 liters more needed.
Divide amount needed by time:
5/5 = 1
He will need to spend 1 more day, which means he will spend a total of 3 days to make 15 liters.
PLEASE HELPPPPP MEEEEE !!!!
Answers
Cos?= adj/hyp
Cos45=x/ root6 |multiply both side by root 6 to get rid of fraction
root6 x cos45 = x
x = root 3
35 POINTS!
Help plz...
Match each expression with the equivalent expanded expression. -5 (2x + 3/5) x + 1.5 0.5 (2r + 3) -20 + 3 2 (4x-2) 8x - 4 1/3 (9 +81) 30 -3 (2/3x - 1) -10x - 3
Answers
Answer:
can you give us a link
Step-by-step explanation:
HELP PLEASE!! need this asap.
y = 4x + 3
y = -x - 2
Answers
Answer:pls check out the image. The answer is in the image ans hope this helps and can u give me brainliest
Step-by-step explanation:
im spending all my points for this smh
Answers
Answer:
Ask a tutor girl under it you will see ask a tutor so click that
2) Jill is a pharmaceutical sales-person for Rx 'R
Us. She is paid a monthly salary of $4800
plus 5°. commission on sales. How much yearly
sales does Jill have to generate in order for her
yearly pay to be $50.000?
A) $240.000
B) $250.000
C) $260,000
D) $270,000
E) $280,000
Answers
Plz, answer this question plz!
Answers
Answer:
the second option im pretty sure
Answer:
4/48. I don't know for sure, but I think B is the correct answer
Pls help me solve 10k - 90 =m -10 *
Answers
Answer:
M = 10k - 80 and k = m/10 + 80
Step-by-step explanation:
One year, the population of a city was 335,000. Several years later it was 314,900. Find the percent decrease.
Answers
You travel 30 miles per hour for 4.2
hours. How far did you travel?
Answers
Answer:
126 miles
Step-by-step explanation:
If I remember right, you'll have to multiply 30 by 4.2 and get 126 miles since each hour is 30 miles.
Write an inequality for each graph. (photos down below)
Answers
B) (-0.5 , -∞)
B- (-0.5, -♾)
A train is traveling at a constant speed in miles per hour. Hours (x) Miles (y) Which equation models the data in the table? 1 20 2 100 O y=20x 3 180 O y = x + 80 4 260 5 340 Oy=60x – 80 O y = = 80x — 60
Answers
Given:
A train is traveling at a constant speed in miles per hour.
The table of value is:
Hours (x) Miles (y)
1 20
2 100
3 180
4 260
5 340
To find:
The equation for the given data table.
Solution:
It is given that the train is traveling at a constant speed in miles per hour. So, it is a linear relationship.
Choose any two point from the given table of value. Let the two points are (1,20) and (2,100). So, the equation of the line is:
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-20=\dfrac{100-20}{2-1}(x-1)[/tex]
[tex]y-20=\dfrac{80}{1}(x-1)[/tex]
[tex]y-20=80(x-1)[/tex]
Add 20 on both sides.
[tex]y=80(x-1)+20[/tex]
[tex]y=80x-80+20[/tex]
[tex]y=80x-60[/tex]
Therefore, the correct option is D.
PLEASE HELP:,). The difference between the two numbers is 12. If you increase the first number by 2 and decrease the second number by 10, the first number is 9 times larger than the second. Find these numbers.
Answers
Answer:
25 and 13
Step-by-step explanation:
25 - 13 = 12
25 + 2 = 27
13 -10 =3
27 is 9 times larger than 3
Write the expression as a simplified rational expression. Show your work.
5/(1/6+1/(x+1))
Answers
Answer:
30(x+1)/x+7
Step-by-step explanation:
A school sold tickets to a musical,
The school received $5.25 per ticket sold.
Write an equation that represents the relationship between the number of tickets sold and the tota
Let t = the total amount of money collected and n = number of tickets sold.
Answers
1. What relationship do you notice between the area of a 3x 3 square, 4 x 4 square, and 5x5 square?
2. What relationship do you notice between the area of a 5x 5 square, 12 x 12 square and 13x13 square?
Whoever answers these thanks!
Answers
Answer:
1) increasing the side by a quantity of 1 causes the new square to increase by 2 times the previous side quantity + 1.
Example 1: 3x3=9, if you increase the sides to 4x4 increases the square by (2x3+1) to be 16.
Example 2: 12x12=144, if you increase the sides to 13x13 increases the square by (2x12=1) to be 169.
2) The same relationship
Step-by-step explanation:
1)
3 x 3 = 9
4 x 4 = 16
5 x 5 = 25
2)
5 x 5 = 25
12 x 12 = 144
13 x 13 = 169
7/10-1/6 answer in fraction
Answers
Answer:
8/15
Step-by-step explanation:
7/10 = 21/30
1/6 = 5/30
21/30-5/30 = 16/30=8/15
Answer:
32/60
Step-by-step explanation:
7/10-1/6
6 and 10 can both go into 60 so you do
10x6 and 6x10 u get 60 as the denominator now you have to multiply the same for the numerator and you get 10/60 and 42/60 now subtract
42-10= 32
32/60
How do I solve and show work?
Answers
Answer:
this is the answer⬆hope it helps
Determine the measure of ∠DFB.
Question 6 options:
1) 67°
2) 69°
3) 68°
4) 136°
Answers
Answer:
136
Step-by-step explanation:
Just took the test and got it right good luck with the rest
what do u do when your teacher comments this in a assighnment?."I can't accept this. It is clear that you copied and pasted from the internet. I will give you another chance to do it correctly - using your own thoughts, not the internet." T_T my teacher found out ......:((
Answers
Answer:
Deny. Deny. Deny.
Step-by-step explanation:
Say how crazy the similarities are but you genuinely wrote what came to mind and you did not even look up the topic online. If that fails just grovel and come up with a sob story so they are no so harsh. Hope this helps <3
would the answer be 36?
Answers
Answer:
No, it would be 72
Step-by-step explanation:
In similar triangles, the sides are different but the angles are the same. You still had a great guess though :)
Pls give brainliest
Two cars are side by side. One is 3.9 meters long. The other is 6% shorter. How long is the second car?
Answers
Answer:
3.66meters long
Step-by-step explanation:
since it's 6% shorter you calculate 3.9 times .94(which is basically 94 percent) which gives you 3.66 meters long
28
The members of a tennis team have a goal of raising at least $500 for new equipment. They have already raised $275.
The team members plan to raise more money by washing cars. They will charge $5 for each car they wash.
Let c represent the number of cars the team members will wash. Which of the following could be used to find the least
number of cars they must wash to reach their goal?
A 5c+275 > 500
B 5c + 275 > 500
c) 5c - 275 > 500
D 50 - 275 > 500
Answers
Answer:
A 5c+ 275 > 500
Step-by-step explanation:
choosing a purple green black or silver bike having 10, 18, 21 or 24 speeds
Answers
Answer:
for me the good one is black with 18 speed
Answer:
Black with 18 speeds
Step-by-step explanation:
Given f(x) = 2x ^ 2 + kx - 20 and the remainder when f(x) is divided by x - 10 is 90, then what is the value of k?
Answers
Answer:
k = -9
Step-by-step explanation:
f(x) = 2x²+kx-20
From remainder theorem,
x = 10 and f(10) = 90
f(10) = 90
Subsitute the value of x into the expression above.
f(10) = 2(10²)+10k-20 = 90
200+10k-20 = 90
Solve for k by collecting like terms
10 k = 90+20-200
10k = 110-200
10k = -90
k = -90/10
k = -9.
Hence the value of the constant is -9
Rewrite the function f (x) = 3 (x - 1)^2 – 2 in the form f(x) = ax^2+bx+c
Answers
Answer: 3x^2-6x+1
Step-by-step explanation:
In this question, you just have to foil out the expression and multiply things out to get the results. Rewrite it if you need so you can caluate it like what I did in this picture.
3(x^2-2x-1)-2
3x^2-6x-3-2
F(x) = 3x^2-6x-5
Find the area of the figure. Use 3.14 for π.
Answers
Answer:
146.93 m^2
Step-by-step explanation:
1. Area of the triangle plus the area of the semicircle.
2. Triangle: b x h x .5 14 x 10 x .5= 70
3. area of semicircle: (πr^2).5 7^2 x π x .5 = 76.93
We halved the area of a circle since we have half a circle.
4. 76.93+70= 146.93