A magazine includes a report on the energy costs per year for32-inch liquid crystal display (LCD) televisions. The article states that 14 randomly selected 32-inch LCD televisions have a sample standard deviation of $3.42 . Assume the sample is taken from a normally distributed population. Construct 98 % confidence intervals for (a) the population variance sigma squared and (b) the population standard deviation sigma .
Interpret the results. (a) The confidence interval for the population variance is (___,___ ). (Round to two decimal places as needed.)
Interpret the results. Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to two decimal places as needed.)
A. With 98 % confidence, you can say that the population variance is less than ___.
B. With 2 % confidence, you can say that the population variance is between nothing and ___ .
C. With 98 % confidence, you can say that the population variance is between ___ and ___ .
D. With 2 % confidence, you can say that the population variance is greater than ___
(b) The confidence interval for the population standard deviation is (n___,___). (Round to two decimal places asneeded.)
Interpret the results. Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to two decimal places as needed.)
A. With 98% confidence, you can say that the population standard deviation is between ___ and ___ dollars per year.
B. With 98% confidence, you can say that the population standard deviation is greater than ___ dollars per year.
C. With 2% confidence, you can say that the population standard deviation is less than ___ dollars per year.
D. With 2% confidence, you can say that the population standard deviation is between ___ and ___ dollars per year.
Answer:
a
The confidence interval for the population variance is [tex] 5.49 < \sigma^2 < 37.02 [/tex]
The correct option is C
b
The confidence interval for the population standard deviation is [tex] 2.34 < \sigma < 6.08 [/tex]
The correct option is A
Step-by-step explanation:
From the question we are told that
The sample size is n = 14
The standard deviation is [tex]s = \$3.42[/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = 14 -1[/tex]
=> [tex]df = 13 [/tex]
Given that the confidence level is 98% then that level of significance is
[tex]\alpha = (100 -98) \%[/tex]
=> [tex]\alpha = 0.02[/tex]
Generally the 98% confidence interval for the variance is mathematically represented as
[tex]\frac{(n- 1) s^2}{x^2 _{[\frac{\alpha }{2} , df]}} < \sigma^2 < \frac{(n- 1) s^2}{x^2 _{[1- \frac{\alpha }{2} , df]}}[/tex]
=> [tex]\frac{(14- 1) (3.42)^2}{x^2 _{[\frac{0.02 }{2} , 13]}} < \sigma^2 < \frac{(14- 1) (3.42)^2}{x^2 _{[1- \frac{0.02 }{2} , 13]}}[/tex]
From the chi -distribution table
[tex]x^2 _{[1- \frac{0.02 }{2} , 13]} = 4.107[/tex]
and
[tex]x^2 _{[\frac{0.02 }{2} , 13]} = 27.689[/tex]
So
=> [tex]\frac{(14- 1) (3.42)^2}{27.689} < \sigma^2 < \frac{(14- 1) (3.42)^2}{4.107}[/tex]
=> [tex] 5.49 < \sigma^2 < 37.02 [/tex]
Generally the 98% confidence interval for the standard deviation is mathematically represented as
[tex]\sqrt{\frac{(n- 1) s^2}{x^2 _{[\frac{\alpha }{2} , df]}}} < \sigma <\sqrt{ \frac{(n- 1) s^2}{x^2 _{[1- \frac{\alpha }{2} , df]}}}[/tex]
=> [tex]\sqrt{5.49} < \sigma < \sqrt{37.02 }[/tex]
=> [tex] 2.34 < \sigma < 6.08 [/tex]
how long does it take an airplane if it files a distance of 2000 miles at a rate of 500mph
Answer:
4 hours
Step-by-step explanation:
We can find the time using the formula [ t = d/s ] where d = distance and s = speed.
t = 2000/500
t = 4 hours
Best of Luck!
What is the value of f(0) on the following graph?
y = f(x)
Answer:
f(0)=2
Step-by-step explanation:
As the graph states y=f(x), so to solve you must find the value of y when x=0 (because that is what is in the paratheses). So go to the place on the graph where x equals 0 then follow up until you intersect with the function. If x=0 then y=2.
what divide by -1/2 equals -7/3
A bug starts at the origin of the coordinate plane. The bug moves One-fourth units right and One-fourth units down to point A. Which graph shows the location of point A?
Answer:
the answer would be d
Step-by-step explanation:
i took the test on edge2020
Answer:
D
Step-by-step explanation:
Edg 2020
Match each equation with its solution equation n-13=-12
Answer:
n=1, :) :P UwU TwT -_-
Answer:
n = 1
Step-by-step explanation:
n-13=-12
n-13-(-12)=0
n-1=0
n=1
HELP ASAP PLEASE
Given x^2=81, select all possible values of x.
A. -9
B. -3
C. 0
D. 3
E. 9
Answer:
A and E
Step-by-step explanation:
x² = 81
~Take the square root of both sides
x = ±9
Best of Luck!
Answer:
The answer is a and e
Step-by-step explanation:
Simplify 5-3y+(-9y)+5.5
Answer:
-1.5y
Step-by-step explanation:
A person can pay $14 for a membership to the science museum and then go to the museum for just $1 per visit. What is the maximum number of visits a member of the science museum can make for a total cost of $46?
Answer:
32
Step-by-step explanation:
First, subtract the membership free from the total cost:
46 - 14
= 32
To find how many visits they can make, divide this by 1:
32/1
= 32
So, the maximum number of visits a member can make is 32.
Answer:
32
Step-by-step explanation:
t> -5
can someone show step by step how to solve this equation?
Answer: The equation cannot be simplified any further.
Explanation: The variable(t) is greater than any number than negative five.
Plz mark brainliest:)
If 5/9 of a tank can be filled in 2minutes , how many minutes will it take to fill the whole tank?
Answer:
4 1/2 minutes
Step-by-step explanation:
.
2
10x2 - 724
100x2 + 140xy + 4972 10x + 7y
Answer:
14xy/(10x+7y)^
Step-by-step explanation:
If two lines meet and form right angles, then
Answer:
Perpendicular
Step-by-step explanation:
If two lines meet and form right angles, then they are perpendicular.
Pleaseeeeeee I rlly need help y’all help me out PLEASE HELP ASAP WILL GIVE BRAINLEIST
Mr. Velasquez wants to make a scale drawing of a set for an upcoming play. If the actual width of the stage is 18 feet and the scale he is using is LaTeX: \frac{1}{2}in
1
2
i
n
: 15 feet. What would the width of the stage be in the scaled drawing?
Answer as a decimal.
Answer:
0.6 in
Step-by-step explanation:
Scale of drawing = ½ inch to 15 ft (½ in : 15 ft)
That is, ratio of the width on paper to actual width.
Given an actual width of 18 ft, the width of the stage on paper can be calculated as shown below:
½ in : 15 ft = x in : 18 ft
[tex] \frac{\frac{1}{2}}{15} = \frac{x}{18} [/tex]
[tex] \frac{1}{2}*\frac{1}{15} = \frac{x}{18} [/tex]
[tex] \frac{1*1}{2*15} = \frac{x}{18} [/tex]
[tex] \frac{1}{30} = \frac{x}{18} [/tex]
Cross multiply
[tex] 30*x = 18*1 [/tex]
[tex] 30x = 18 [/tex]
Divide both sides by 30
[tex] \frac{30x}{30} = \frac{18}{30} [/tex]
[tex] x = \frac{18}{30} = \frac{6}{10} [/tex]
[tex] x = 0.6 [/tex]
Width of the stage in scale drawing = 0.6 in
ANSWER ASAP! NEED HELP
The Dean of the Business School at State University would like to test the hypothesis that no difference exists between the average final exam grades for the Introduction to Marketing course and the Introduction to Finance course. A random sample of eight students who took both courses was selected and their final exam grades for each course are shown below.
Student 1 2 3 4 5 6 7 8
Marketing 82 86 74 93 90 76 87 100
Finance 76 91 70 79 96 70 85 81
If Population 1 is defined as the Marketing exam scores and Population 2 is defined as the Finance exam scores. Which of the following test is appropriate for Dean's hypothesis?
a. One-way ANOVA
b. Paired samples t- test
c. One sample t- test
d. Independent samples t-test
Answer:
Paired samples t- test is appropriate for Dean's hypothesis
Step-by-step explanation:
Given Data :
Student 1 2 3 4 5 6 7 8
Marketing 82 86 74 93 90 76 87 100
Finance 76 91 70 79 96 70 85 81
We are supposed to find the test which is appropriate for Dean's hypothesis
We are given the grades of two different subjects for same student
We perform the paired t test because the final grades for the Marketing and Finance is taken for the same student.
So, Option B is correct
Hence Paired samples t- test is appropriate for Dean's hypothesis
Identify the equation of the graph.
Answer: y=-2x-4 (C)
Step-by-step explanation: Its correct i swear
Please help multiple choice
Step-by-step explanation:
Hope this helps, good night
HELP! WILL MARK BRAINLIEST!
Answer:
The answer to this question is C.
Step-by-step explanation:
All that you have to do is multiply the exponents.
he is reading a novel into passive voiceWhat is the simplified form of the expression? 5 + 3(2)
Answer:
The answer is 11
hence 5 + 6 = 11
Answer:
hi
Step-by-step explanation:
[tex]5 + 3(2) = 11[/tex]
probably…
g The company charges a flat fee of $20 plus $0.48 for every mile the car is driven. Find the cost c c of renting a car from Rent-A-Wreck for a day when x x number of miles are driven.
Answer:
The cost for day when x miles are driven is
C = 0.48x + 20
Step-by-step explanation:
Firstly, we shall need to write an equation that represents the rent age
Let C be the cost and m is the number of miles driven
C = 20 + 0.48m
So given that x miles are driven, then m = x
This implies = 20 + 0.48x
The endpoints of EF¯¯¯¯¯ are located at E (−3, 2) and F (3, 8). Point D divides EF¯¯¯¯¯ such that ED : DF is equal to 1 : 3. For each box, select the values in the dropdown that make the statement true. The x-coordinate of point D is and the y-coordinate of point D is
Answer:
[tex]D(x,y) = (-1.5,3.5)[/tex]
Step-by-step explanation:
Given
[tex]E = (-3,2)[/tex]
[tex]F = (3,8)[/tex]
[tex]ED: DF = 1 : 3[/tex]
Required
Determine the coordinates of D
This is calculated as thus:
[tex]D(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]
Where:
[tex](x_1,y_1) = (-3,2)[/tex]
[tex](x_2,y_2) = (3,8)[/tex]
[tex]m:n = 1:3[/tex]
[tex]D(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]
[tex]D(x,y) = (\frac{1 * 3 + 3 *-3}{1+3},\frac{1 * 8 + 3 * 2}{1+3})[/tex]
[tex]D(x,y) = (\frac{-6}{4},\frac{14}{4})[/tex]
[tex]D(x,y) = (-1.5,3.5)[/tex]
What is the quotient of 1 1/4 divided by 21 1/4
Answer:
quotient of 11/4 to be divided by 21 /1/4
gives you 7/8/11
How many edges are there on a cylinder?
Answer:
There are 0 number of edges on a cylinder
potatoes - Samples: Assume the weights of Farmer Carl's potatoes are normally distributed with a mean of 8.0 ounces and a standard deviation of 1.1 ounces. He bags his potatoes in groups of 6. You buy a bag and the total weight is 42 ounces. Here we determine how lucky or unlucky you are. (a) What is the mean potato weight in your bag of 6
Dominique has $13.75 in her piggy bank. All of the money are quarters. How many quarters are in the piggy bank?
Answer: I think its 0.55
Step-by-step explanation: if you do 25 times 0.55 because quarter's are 25 cents it equals 13.75
The number of quarters in the piggy bag will be 55.
What is unit conversion?Multiplication or division by a numerical factor, selection of the correct number of significant figures, and unit conversion are all steps in a multi-step procedure. Unit conversion is the process of changing a quantity's measurement between different units, frequently using multiplicative conversion factors.
Given that Dominique has $13.75 in her piggy bank. All of the money is quarters.
The number of the quarters will be calculated as:-
1 dollar ⇒ 4 quarters
13.75 dollars ⇒ 13.75 x 4 quarters
13.75 dollars ⇒ 55 Quarters
Therefore, the number of quarters in the piggy bag will be 55.
To know more about unit conversion follow
https://brainly.com/question/15661961
#SPJ6
What is the circumference of the following circle?
4 cm
cm
Answer:circumference=
=2×3.14×4
=25 .12
=circumference of the above circle is 25.12 sq.cm.
Step-by-step explanation:
Answer: 12.56
Step-by-step explanation:
I answered this on Khan Academy and it is 12.56
Find the midpoint of the line segment joining the points R(3,3) and S(-2,6).
Answer: 2,9
(3,3) & (-2,6) midpoints
Answer:
(0.5,4.5)
Step-by-step explanation:
Use the midpoint formula to find the answer: ((x1+x2/2),(y1+y2/2))
((3-2/2),(3+6/2))
((1/2),(9/2))
(0.5,4.5)
A certain scale has an uncertainty of 4 g and a bias of 2 g. A single measurement is made on this scale. What are the bias and uncertainty in this measurement
Answer: 0.8
Step-by-step explanation:
given data:
uncertainity = 4g
bias = 2g
solution:
σX =0.2 and σY = 0.4
σcX
= 3σX
= 4(0.2)
= 0.8
A and B are complementary angles. If mA = (2x + 30)° and mB = (7x – 3), then find the measure of B.
Answer:
mB=46
Step-by-step explanation:
2x+30+7x-3=90
Combine like terms
9x+27=90
Subtract by 27 on both sides
9x=63
Divide by 9 on both sides
x=7
mB=(7x-3)
Substitute 7 for x
mB= 7(7)-3
mB= 49-3
mB=46
Answer:
The measure of B is 46°
Step-by-step explanation:
To solve this equation, you need to add the two equations, and set them equal to 90° since they are complementary angles
2x+30+7x-3=90
You also need to add like terms, so 2x+7x and 30+-3, or 30-3
9x+27=90
Then you need to isolate the variable by subtracting 27 from both sides
9x+27-27=90-27
=
9x=63
Then you need to divide both sides by 9 to get x=7
Since we know what x is, we plug x into the equation (7x-3) and we will now have 7(7)-3.
To solve this, we multiply 7 and 7, and subtract 3 to get 46.
So the answer is mB=46
I hope this helps!!