Answer:
The 95% confidence interval estimate of the mean amount spent per day by a family of four visiting Niagara Falls is ($234.96, $269.94).
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
T interval
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 = 64 - 1 = 63
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 63 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 1.9983
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.9983\frac{70}{\sqrt{64}} = 17.49[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 252.45 - 17.49 = $234.96.
The upper end of the interval is the sample mean added to M. So it is 252.45 + 17.49 = $269.94.
The 95% confidence interval estimate of the mean amount spent per day by a family of four visiting Niagara Falls is ($234.96, $269.94).
Simplify the following:
-8 + (15 - 3) = 4
Answer: -5
Step-by-step explanation:
-8 + (15-3) / 4
-8 + 12 / 4
-8 + 3
-5
Can someone help me out my math grads are bad
Answer:
First answer: 5x+8x+9+3+4
Second answer: 13x+16
Solve. 12. - (-4) =
9
16
17
8
Answer:
16
Step-by-step explanation:
12-(-4)=12+4=16
Answer:
16
Step-by-step explanation:
12 - (-4)
when you subtract a negative, you add.
12 + 4 = 16
The increasing annual cost (including tuition, room, board, books and fees) to attend college ) to attend college has been widely discussed in many publications including Money magazine. The following random samples show the annual cost of attending private and public colleges. Data are in thousands of dollars.
Private Colleges
53.8 42.2 44.0 34.3 44.0
31.6 45.8 38.8 50.5 42.0
Public Colleges
20.3 22.0 28.2 15.6 24.1 28.5
22.8 25.8 18.5 25.6 14.4 21.8
Required:
a. Compute the sample mean (in thousand dollars) and sample standard deviation (in thousand dollars) for private colleges.
b. What is the point estimate (in thousand dollars) of the difference between the two population means?
Answer:
a) The sample mean is of 42.7 thousand dollars.
The standard deviation is of 6.38 thousand dollars.
b) The point estimate of the difference between the two population means is of 20.4 thousand dollars.
Step-by-step explanation:
a. Compute the sample mean (in thousand dollars) and sample standard deviation (in thousand dollars) for private colleges.
Sample mean is the sum of all values divided by the number of values. So
[tex]M = \frac{53.8 + 42.2 + 44.0 + 34.3 + 44.0 + 31.6 + 45.8 + 38.8 + 50.5 + 42.0}{10} = 42.7[/tex]
The sample mean is of 42.7 thousand dollars.
Sample standard deviation is the square root of the sum of the difference squared between each number and the mean, divided by the number of values. So
[tex]S = \sqrt{\frac{(53.8-42.7)^2 + (42.2-42.7)^2 + (44.0-42.7)^2 + (34.3-42.7)^2 + (44.0-42.7)^2 + (31.6-42.7)^2 + (45.8-42.7)^2 + (38.8-42.7)^2 + (50.5-42.7)^2 + (42.0-42.7)^2}{10}} = 6.38[/tex]
The standard deviation is of 6.38 thousand dollars.
b. What is the point estimate (in thousand dollars) of the difference between the two population means?
First, we have to find the sample mean for public colleges, and then subtract the sample mean of private colleges by the sample mean of public colleges. So, for public colleges:
[tex]M = \frac{20.3 + 22.0 + 28.2 + 15.6 + 24.1 + 28.5 + 22.8 + 25.8 + 18.5 + 25.6 + 14.4 + 21.8}{12} = 22.3[/tex]
Point estimate of the difference:
42.7 - 22.3 = 20.4
The point estimate of the difference between the two population means is of 20.4 thousand dollars.
Express 848.41 m in millimeters
A pool in the shape of a rectangular prism has a length of 12 m, a width of 6 m, and a depth of 1.5 m. Find the volume of water needed to fill the pool.
Answer:
108 m^3
Step-by-step explanation:
The volume of a rectangular prism is the product of all its sides. 12 * 6 * 1.5 = 108
HELP PLSSS
WILL GIVE BRAINLIST
Trish types 3 1/3 pages. Joy types 3/4 as many pages as Trish.
How many pages does joy type?
Answer: Joy types 2 1/2pages
Step-by-step explanation:
Number of pages typed by Trish= 3 1/3 pages
Number of pages typed by joy=3/4 as many pages as Trish=3/4 x 3 1/3 pages
=3/4 x 3 1/3
=3/4 x 10/3
=(30/12) ÷(3/3)
=10/4)÷(2/2)
=5/2=2 1/2
La suma de dos números es de 540 y su diferencia es 32. Hallar los números
Answer:
254 y 286
Step-by-step explanation:
540 - 32 = 508
508 / 2 = 254
254 + 32 = x = 286
Z OO
Which of the following statements are true? Check all that apply
The distance covered on a two hour bloyole ride depende on the bike'e rate of
speed Al 10 mph, the rider will cover 20 miles. Al 18 mph, she will cover 30
miles
A. Distance(16) = 30
B. Distance(30) = 16
C. Distance(20) = 10
D. Distance(10) = 20
Answer:
Step-by-step explanation:
A. Distance(16)= 30
What is the value of √-25+10
no links
Answer:
10 + 5
Step-by-step explanation:
I actually don't know the explanation... sorry about that!
A rectangular garden has an area of 154 square feet. If its width is 11 feet, what is its length?
Answer:
[tex]Width = 14feet[/tex]
Step-by-step explanation:
Given
[tex]Area = 154[/tex]
[tex]Width = 11[/tex]
Required
The length
Area is calculated as:
[tex]Area = Length * Width[/tex]
Make Width, the subject
[tex]Width = \frac{Area}{Length}[/tex]
So, we have:
[tex]Width = \frac{154}{11}[/tex]
[tex]Width = 14feet[/tex]
3.1 times 10 ^3 in ordinary form
Please help 2. Name the polar coordinates of the point graphed below.
need help w 5 plsss help
Download photo-math on ur phone and take a picture of the equation. it should tell u the answer.
42 cubes of side 8cm are packed into a cuboid
64cm by 40cm by 24cm. How many more
cubes are needed to completely fill the cuboid?
Answer:
multiply itStep-by-step explanation:
thats it
50 POINTS!!!
Given the point (18, -10), apply the rule and tell the image after the translation as an ordered pair with no spaces.
(x,y) --> (x - 11, y - 9)
[no ridiculous answers or links or i will report]
Answer:
(7,-19)
Step-by-step explanation:
(x,y) --> (x - 11, y - 9)
Substitute x=18 and y = -10 into the translation
(x,y) --> (18 - 11, -10 - 9)
(7,-19)
HELP HELP HELP HELP PLZZZZZ
2/3 divided by 1/2 |HELP ASAP!
Answer:
2/3 ÷ 1/2
Change to multiplication and flip the second fraction
2/3x2
=4/3
Answer:
0.333333333333333333333333333333
Help me find the answer
Answer:
Step-by-step explanation:
Please help it’s urgent
Answer:
6 m
Step-by-step explanation:
27m^3 /8m^3= 20 m / X
8m^3 × 20 m = 27m^3 × X
160 /27 = X
X = 5.9
= 6
How do I find the margin of error?
Answer:
You can find the margin of error by using this this formula
[tex]z \times \frac{σ}{ \sqrt{n} } [/tex]
I need help for this
Answer:
The area of the rectangle is 6 centimeters squared.
Step-by-step explanation:
This shape is a rectangle.
There is a formula to find the area of a rectangle:
length multiplied by width equals the area.
l x w = area
2 x 3 = 6
graph y=-2x^2 +4x +1
If a sample of 14 students were taken from a population of 168 students, o?
could refer to the variance of how many of the students' heights?
A. 168
B. 14
C. Both 14 and 168
D. Neither 14 nor 168
Find mCFD
O 180°
O 276°
O 307°
O 53°
9514 1404 393
Answer:
307°
Step-by-step explanation:
The measure of arc CFD is the measure of the whole circle, less the measure of arc CD. The measure of arc CD is the difference between the measures of arc CE and DE. Arc CE has the same measure as arc BF, so we have ...
arc CFD = 360° -(arc BF -arc ED)
arc CFD = 360° -132° +79°
arc CFD = 307°
_____
Arcs BF and CE are of equal measure because their central angles are vertical angles, hence congruent.
(a) 34 is 85% of what number?
Answer:
[tex]40[/tex]
hope this helps you.
Can I have the brainliest please?
The line shown below has the equation y = 2/3x-1
The highlighted point has coordinates (-4.3).
Answer:
Step-by-step explanation:
ask cymath it will help you with any mathmatical problem
Milton purchases a 4-gallon aquariurn for his bedroom. To fill the aquarium with water, he uses a container with a capacity of 1 quart How many times will Milton fill and empty the container before the aquarium is full? Milton will fill and empty the container times.
Answer:
16 times
Step-by-step explanation:
Since he has a 4-gallon aquarium and a 1-quart container, and since there are 4 quarts in every gallon, he'll need to fill the aquarium with the container full 16 times because for every gallon, he'll need to fill the aquarium 4 times. This is the equation:
4*4=16 times
WILL GIVE BRAINLIEST
Answer:110 degrees
Step-by-step explanation: