1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
myrzilka [38]
3 years ago
7

Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 5.9 parts

/million (ppm). A researcher believes that the current ozone level is not at a normal level. The mean of 24 samples is 5.6 ppm with a standard deviation of 1.0. Assume the population is normally distributed. A level of significance of 0.02 will be used. Find the value of the test statistic. Round your answer to three decimal places.
Mathematics
1 answer:
GarryVolchara [31]3 years ago
8 0

Answer:

t = -0.061

Step-by-step explanation:

We are given;

Population mean; μ = 5.9

Sample mean; x¯ = 5.6

Sample size; n = 24

standard deviation; σ = 1

Significance level = 0.02

Formula for the test statistic since sample size is less than 30 is;

t = (x¯ - μ)/(σ/√n)

t = (5.6 - 5.9)/(1/√24)

t = -0.3/(1/√24)

t = -0.061

You might be interested in
How do you do...<br> cos2x-sin2x=1-2sin2x
Bess [88]
sin (2 \alpha) =2\cdot sin  \alpha \cdot cos  \alpha \\cos(2 \alpha )=1-2sin^2  \alpha \\-------------------- \\cos2x-sin2x=1-2sin2x\\cos2x+sin2x=1\\1-2sin^2x+2sinx\cdot cosx=1\\-2sinx(sin x-cosx)=0\\ -2sinx=0\ \ \ \ or\ \ \ \ sinx-cosx=0\\\\1)\ -2sinx=0\ \ \Leftrightarrow\ \ sinx=0\ \ \Leftrightarrow\ \ x_1=k \pi \ \ and\ \ k\in I\\2)\ \ sinx-cosx=0\ \ \Leftrightarrow\ \ sinx=cosx\ /:cosx\ \ \ \ \ \wedge\ \ \ \  cos x \neq 0\\tanx=1\ \ \Leftrightarrow\ \ x_2= \frac{ \pi }{4} +k \pi \ \ and\ \ k\in I
3 0
3 years ago
A long jumper lifts off 3 m after starting his run, and lands 6 m later. When he is 8 m from the start line, he is 5 cm above an
slega [8]

Answer:

The equation of the parabola that models the path of the long jumper through the air is y = -x^{2}+12\cdot x -27.

Step-by-step explanation:

Mathematically, we know that parabolas are second-order polynomials and every second-order polynomials, also known as quadratic functions, can be constructed by knowing three different points of the curve. The standard form of the parabola is:

y = a\cdot x^{2}+b\cdot x + c

Where:

x - Horizontal distance from the start line, measured in meters.

y - Height of the long jumper, measured in meters.

a, b, c - Polynomial constants, measured in \frac{1}{m}, dimensionless and meters, respectively.

If we know that (x_{1},y_{1}) = (3\,m, 0\,m), (x_{2},y_{2}) = (8\,m, 0.05\,m) and (x_{3}, y_{3}) = (9\,m, 0\,m), this system of linear equations is presented below:

9\cdot a + 3\cdot b + c = 0 (Eq. 1)

81\cdot a + 9\cdot b + c = 0 (Eq. 2)

64\cdot a + 8\cdot b + c = 0.05 (Eq. 3)

The coefficients of the polynomial are, respectively:

a = -\frac{1}{100}, b = \frac{3}{25}, c = -\frac{27}{100}

The equation of the parabola that models the path of the long jumper through the air is y' = -\frac{1}{100}\cdot x^{2}+\frac{3}{25}\cdot x -\frac{27}{100}.

But we need y measured in centimeters, then, we use the following conversion:

y = 100\cdot y'

Then, we get that:

y = -x^{2}+12\cdot x -27

Where x and y are measured in meters and centimeters, respectively.

The equation of the parabola that models the path of the long jumper through the air is y = -x^{2}+12\cdot x -27.

4 0
3 years ago
P=4<br>q=-2<br>r=-3<br>s=-5<br><br>Solve<br><br><br>s^3 -p^3​
marissa [1.9K]
1. -5^3-4^3
2. -15-64
3. -79
4 0
3 years ago
Help!! whats the answer? and how do I solve!! :(
Sever21 [200]
I think the answer is 20.25 because when solving for the area of a triangle you do 1/2 base times height and so the equation would be
1/2(9)(4.5)
you would start by doing 9(4.5) which equals 40.5
then you would divide by 1/2 which equals 20.25
hope this helps:)
5 0
3 years ago
Say that the economy is in a recession, causing vehicle prices to drop by eight percent. If your car was previously worth $25,29
qaws [65]

Answer:

c.

$23,271

Step-by-step explanation:

i took the same test on edg

8 0
2 years ago
Read 2 more answers
Other questions:
  • Which of the following situations best describes the situation modeled by P = 2(1,000 feet) + 2(875 feet)? Select all that apply
    10·1 answer
  • A 6.5 foot long piece of wood is cut into 5 sections. how long is each section?
    6·2 answers
  • Please help me ASAP! on these two questions please and thank you have a great and blessed day!
    7·1 answer
  • Find the scale factor of trapezoid QRST if it’s dilated to Q’R’S’T’. Type your result in the empty box provided below. HELPP PLE
    15·1 answer
  • Betty is three times as old as her son now. In 12 years, Betty's age will be three years less than twice her son's age. How old
    12·1 answer
  • Can anyone answer this
    8·2 answers
  • a parking garage charges a flat fee of $6 an addition $4.50 per day. Jake paid $51 for d days. Write an equation to model the si
    6·2 answers
  • Someone help plz and thanks
    10·1 answer
  • Please help me with this please and thank you
    7·1 answer
  • AHHHHHHHHHHHH this is so hard
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!