Answer:
need points
Step-by-step explanation:
The manager of a fleet of automobiles is testing two brands of radial tires and assigns one tire of each brand at random to the two rear wheels of eight cars and runs the cars until the tires wear out. The data (in kilometers) follow. Find a 99% confidence interval on the difference in the mean life.
Car Brand 1 Brand 2
1 36663 33866
2 43509 41829
3 36240 35500
4 32100 31950
5 37210 38015
6 48360 47800
7 38200 37810
8 33500 33215
a) Calculate SD =
b) Calculate a 99% two-sided confidence interval on the difference in mean life.
c) Which brand would you prefer? (brand 1/ no difference /brand 2)_____
Answer:
a) σ = 4933,64
b) CI 99% = ( - 5746 ; 7194 )
c) No difference in brands
Step-by-step explanation:
Brand 1:
n₁ = 8
x₁ = 38222
s₁ = 4974
Brand 2:
n₂ = 8
x₂ = 37498
s₂ = 4893
As n₁ = n₂ = 8 Small sample we work with t -student table
degree of freedom df = n₁ + n₂ - 2 df = 8 +8 -2 df = 14
CI = 99 % CI = 0,99
From t-student table we find t(c) = 2,624
CI = ( x₁ - x₂ ) ± t(c) * √σ²/n₁ + σ²/n₂
σ² = [( n₁ - 1 ) *s₁² + ( n₂ - 1 ) * s₂² ] / n₁ +n₂ -2
σ² = 7* (4974)² + 7*( 4893)² / 14
σ² = 24340783 σ = 4933,64
√ σ²/n₁ + σ²/n₂ = √ 24340783/8 + 24340783/8
√ σ²/n₁ + σ²/n₂ = 2466
CI 99% = ( x₁ - x₂ ) ± 2,624* 2466
CI 99% = 724 ± 6470
CI 99% = ( - 5746 ; 7194 )
As we can see CI 99% contains 0 and that means that there is not statistical difference between mean life of the two groups
Can someone help me plead
Answer:
a. 2^3
b. 3^4
c. 4^3 × 5^2
d. 9^4 × 7^2
Step-by-step explanation:
The following equations are given
a. 2 × 2× 2
b. 3 × 3 × 3 × 3
c. 4 × 4 × 4 × 5 × 5
d. 9 × 7 × 9 × 9 × 7 × 9
We need to find the index notation for the above equations
a. 2^3
b. 3^4
c. 4^3 × 5^2
d. 9^4 × 7^2
In this way it should be done
The same would be relevant
The function y=60+25sin(pi/6)t, where t is in months and t=0 corresponds to April 15, models the average high temperature in degrees Fahrenheit in Centerville.
b.) What is the maximum high temperature and when does this occur?
NOTE: I found the answer online, I just don't understand how to get there. It's July 15, 85 degrees.
Answer:
The maximum temperature will be of 85 degrees, on July 15.
Step-by-step explanation:
Sine function:
The sine function oscilates between -1 and 1, and it's maximum value is:
[tex]\sin{(\frac{\pi}{2})} = 1[/tex]
y=60+25sin(pi/6)t
The maximum value will occur when [tex]\sin{(\frac{\pi t}{6}}) = 1[/tex], and it will be of 60 + 25 = 85 degrees.
When will it occur?
First we find the value of t for which the value inside the function sine is [tex]\frac{\pi}{2}[/tex]. So
[tex]\frac{\pi t}{6} = \frac{\pi}{2}[/tex]
[tex]\frac{t}{6} = \frac{1}{2}[/tex]
[tex]2t = 6[/tex]
[tex]t = \frac{6}{2} = 3[/tex]
That is the number of months after April 15, which is 3 months. So July 15.
NO LINKS I WILL REPORT YOU
What are the missing numbers
ryan deposited $1,000 into an accontthat earns 5% simple annual interest. how much does ryan have total after 10 years
Answer:
$500
Step-by-step explanation:
1000x.05=50 per year
50/year x 10 years =500
A certain disease has an incidence rate of 0.6%. If the false negative rate is 8% and the false positive rate is 3%, compute the probability that a person who tests positive actually has the disease.
Answer:
0.1562 = 15.62% probability that a person who tests positive actually has the disease.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Tests positive
Event B: Has the disease.
Probability of a positive test:
100 - 8 = 92% of 0.6%(person has the disease).
3% of 100 - 0.6% = 99.40%(person does not have the disease). So
[tex]P(A) = 0.92*0.006 + 0.03*0.994 = 0.03534[/tex]
Probability of testing positive and having the disease:
92% of 0.6%. So
[tex]P(A \cap B) = 0.92*0.006 = 0.00552[/tex]
Probability that a person who tests positive actually has the disease.
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.00552}{0.03534} = 0.1562[/tex]
0.1562 = 15.62% probability that a person who tests positive actually has the disease.
Function f is an exponential function that is negative on the interval (-∞, 1) and positive on the interval (1, ∞). Which could be the graph of function f?
Answer:
The correct answer is this graph
Step-by-step explanation:
I just took the test #plato
Answer: the answer is C, but make sure the C has the the line crossing on 0 and -1
Step-by-step explanation:
Took Test om Plato.
Can someone please help me I will mark u brilliant
Answer:
d
Step-by-step explanation:
Find the area of the polygon.
42 m
26 m
21 m
52 m
The area of the polygon is _
square meters.
Answer:
1327
Step-by-step explanation:
Please check the attachment for explanation.
Which line is parallel to 2x - y = -3 and goes through (5, 5)?
Answer:
G. y=2x-5
Step-by-step explanation:
First, find the slope from 2x-y=-3
-y=-2x-3
y=2x+3, which means that the slope is 2
Since it is parallel, the given equation and the line we are finding has the same slope.
let y=mx+b, where m=2, y=5, x=5
5=2(5)+b
5=10+b
-5=b
Thus, y=2x-5
Answer:
F Y=1x+5 G Y=2x-5 H Y =x-3 J Y=2x+5
Which table represents a linear function?
1) f(x)
2) g(x)
3 h(x)
4 k(x)
Answer: f(x)
Step-by-step explanation:
Plz help me well mark brainliest if correct!
Answer:
Two weeks later
Step-by-step explanation:
There are 14 days in two weeks, and there are 14-day intervals between dates.
Answer:
2 weeks later
Step-by-step explanation:
Two weeks is equivalent to 14 days
NO LINKS OR ELSE YOU'LL BE REPORTED! Please give me the correct answer.Only answer if you're very good at math.
round to nearest 1000 place
5932
26148
527061
Answer:
5932-6000
26148-26000
527061-527000
lol, A triangle has sides of length 25, 16, and 7. Is this a right triangle? Justify your answer using mathematics.
9514 1404 393
Answer:
no
Step-by-step explanation:
The given side lengths do not form a triangle of any kind.
[tex]7+16\ngtr 25[/tex]
Question 20
Penny is the manager of a nursery for pre-school children.
She knows that the ratio of the number of adults to the number of children
must be 1:8
Penny has 56 children at the nursery.
(a) Work out the number of adults Penny needs for 56 children.
Answer: 7
Step-by-step explanation:
We know that the ratio adults: children must be 1:8.
So if there are 58 children the ration is x: 56
56/8 (to find the number of adults) = 7
7:56 = 1:8
The linear factors of a quadratic expression are (x + a) and (2x + b), where a and b are
positive, odd integers. Which statement about the zeros of this expression's related
quadratic function is FALSE?
A. Both of the zeros are located on the x-axis.
B. One zero is an integer, and the other is a fraction.
C. The zeros are the opposites of the constants in the linear factors.
D. The zeros can be found by setting each factor equal to 0 and solving.
Answer: The answer is C
Jeremiah wants to estimate the mean age of students at his large university. He'll sample n students and make a 95%, percent confidence interval for the mean age. He is willing to use σ=3 years as an estimate of the standard deviation, and he wants the margin of error to be no more than 1 year. Which of these is the smallest approximate sample size required to obtain the desired margin of error?
Answer:
35 students
Step-by-step explanation:
khan
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Evaluate the following expression.
3-2
Answer:
the answer would be 1 sorry if I'm wrong
Answer:
the answer is 1/9 trust me its right
Step-by-step explanation:
Which negative angle is equivalent to a 75° angle?
Answer:
A) -285
Step-by-step explanation:
360-75=285
what is the slope of the line.
Answer:
1 ..................or 1/1
Answer:
-1 is the slope
..................
Please help
the diagram shows a cube and a cuboid
Answer:
2197 cm³
Step-by-step explanation:
surface area of cuboid = 2 * (5*9 + 33*9 + 33*5) = 1014
surface area of cube = 6 * x² .... x: side length of cube
6x² = 1014
x² = 169
x = 13
volume of cube = x³ = 13³ = 2197 cm³
If you can buy one tub of dried blueberries for $8, then how many can you buy with $16?
Answer:
you can buy 2 tub of dried blueberries with $16
Step-by-step explanation:
1 tube ---cost for $8..
x ?-------cost for $16........mean 2 tubs of dried blueberries for $16....
Can someone please help
Answer:
16.989
Step-by-step explanation:
Cosine angle = adjacent/ hypnosis
Cos 28 = 15/x Multiply both sides by x
xCos 28 = 15x/x x/x is 1
xCos 28 = 15(1) Divide both sides by Cos 28
xCos 28/Cos 28 = 15 / Cos 28 Cos 28 / Cos 28 = 1
x = 15/Cos 28
x = 16.989
Please explain step by step.
Answer:
B
Step-by-step explanation:
If you at the graph it shows that the dots in bettwen Y side (left side)
so the first dot is 15 due to it between 10 and 20 and the 2nd dot is 20
Miguel is staining a wooden box. To determine how much stain he needs, he'll need to find the surface area of the box. True False
Answer:
True
Step-by-step explanation:
Miguel is staining a wooden box. he needs to find the surface area of the box
We have given that,
Miguel is staining a wooden box.
To determine how much stain he needs, he'll need to find the surface area of the box.
We have to determine statement is true or false.
What is the surface area of the box?
To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.
Therefore he needs to find the surface area of the box
and it is a true statement.
To learn more about the box visit:
https://brainly.com/question/26161002
#SPJ2
Two students went shopping and bought $150 worth of clothes they had to pay an additional $14.78 in tax. Estimate the tax rate they had to pay.
Answer:
10.15
Step-by-step explanation:
I divided the worth of clothe and the tax
if the circle is 2 inches what will the circumference be round to the nearest 10th
Find the exact circumference of a circle with diameter equal to 8 ft.
Answer:
C = 8π ft
Step-by-step explanation:
The circumference (C) of a circle is calculated as
C = πd ( d is the diameter ) , then
C = 8π
What is the interest rate on a savings account of $10,000 that earns $2,000 after 4 years?
Answer:
5%
Step-by-step explanation:
2000/4=500 per year in interest
500/10000=.05 or 5%