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
Karo-lina-s [1.5K]
3 years ago
12

Describe how to write the null and alternative hypotheses based on a claim. Provide at least one example to clarify your explana

tion.
Mathematics
1 answer:
Umnica [9.8K]3 years ago
7 0

Answer:

Step-by-step explanation:

The null and alternative hypothesis are usually used in hypothesis testing to present the claim being tested as give in terms of the mean or proportion :

Given that the mean score of high school students is 10 ; using a sample of 50 students, a mean of 8 was obtained ; we could want to test the claim that the mean score is less than 10.

Here; population mean, μ = 10 ; the claim is now that, μ < 10 based on what was observed about the sample.

H0 : μ = 10

H0 : μ < 10

If we wanted to test If the mean was greater than 10 ; then the sign is reversed

H0 : μ = 10

H0 : μ > 10

If we wanted to test If the score is just different from the mean score stated ; (it may be less than or greater than)

H0 : μ = 10

H0 : μ ≠ 10

You might be interested in
$1500 is invested at a rate of 3% compounded monthly. Write a compound interest function to model this situation. Then find the
Marianna [84]

Answer:

<u>Equation</u>:  F=1500(1.0025)^{12t}

<u>The balance after 5 years is:  $1742.43</u>

<u></u>

Step-by-step explanation:

This is a compound growth problem . THe formula is:

F=P(1+\frac{r}{n})^{nt}

Where

F is future amount

P is present amount

r is rate of interest, annually

n is the number of compounding per year

t is the time in years

Given:

P = 1500

r = 0.03

n = 12 (compounded monthly means 12 times a year)

The compound interest formula modelled by the variables is:

F=1500(1+\frac{0.03}{12})^{12t}\\F=1500(1.0025)^{12t}

Now, we want balance after 5 years, so t = 5, substituting, we get:

F=1500(1.0025)^{12t}\\F=1500(1.0025)^{12*5}\\F=1500(1.0025)^{60}\\F=1742.43

<u>The balance after 5 years is:  $1742.43</u>

3 0
3 years ago
Jose equation is -4(x+2) = 8x+16 says to jill “I can solve for the variable in this equation in at least 4 different ways
erastovalidia [21]

Answer:

that is step 1 and step 2 and step3

step 4

Let's solve your equation step-by-step.

−4(x+2)=8x+16

Step 1: Simplify both sides of the equation.

−4(x+2)=8x+16

(−4)(x)+(−4)(2)=8x+16(Distribute)

−4x+−8=8x+16

−4x−8=8x+16

Step 2: Subtract 8x from both sides.

−4x−8−8x=8x+16−8x

−12x−8=16

Step 3: Add 8 to both sides.

−12x−8+8=16+8

−12x=24

Step 4: Divide both sides by -12.

−12x

−12

=

24

−12

x=−2

Answer:

x=−2

6 0
3 years ago
What is the area of the region bounded between the curves y=x and y=sqrt(x)?
erastova [34]

Answer:

\frac{1}{6}

Step-by-step explanation:

y = x     .....(1)

y=\sqrt{x}     .... (2)

By solving equation (1) and equation (2)

x = \sqrt{x}

\sqrt{x}\left ( \sqrt{x}-1 \right )=0

\sqrt{x}=0 or \left ( \sqrt{x}-1 \right )=0

x = 0, x = 1

y = 0, y = 1

A = \int_{0}^{1}ydx(curve)-\int_{0}^{1}ydx(line)

A = \int_{0}^{1}\sqrt{x}dx-\int_{0}^{1}xdx

A = \frac{2}{3}[x^\frac{3}{2}]_{0}^{1}-\frac{1}{2}[x^2]_{0}^{1}

A = \frac{2}{3}-\frac{1}{2}

A = \frac{1}{6}

8 0
3 years ago
What is the distance between (-8,5) and (4,9)
kogti [31]

Answer:

Use the distance formula to determine the distance between two points.

Exact Form:

4 √ 10

3 0
3 years ago
Read 2 more answers
Gene's frying pan is 13.5 inches in diameter. What is the circumference of his frying pan?
STALIN [3.7K]
To work out the circumference of a circle, you should use 2πr or πd (r being radius and d being diameter)
So 
Circumference = 13.5 x π = 27/2 π = 42.41 inches
5 0
3 years ago
Other questions:
  • Jim observes two small plants in a garden. He records the growth of Plant 1 over several days as shown in the given table. He al
    10·2 answers
  • What are the domain,range and asymptote of h(x)=6^x-4
    12·2 answers
  • A local gym offers a trial membership for 3 months. It discounts the regular monthly fee x by $25. If the total cost of the tria
    11·1 answer
  • A bowl contains 25 balls numbered 1 to 25. A ball is drawn and its number is noted. Without replacing the first ball, another ba
    13·2 answers
  • Can someone help me with this question?
    8·1 answer
  • Carlos is 8 years older than his sister Maria. Four years ago Maria was two thirds as old as Carlos. How old are they now
    11·1 answer
  • PleAse help please please
    10·1 answer
  • Which point is a reflection of Q(-4, -6) across the x-axis and the y-axis?
    8·1 answer
  • Plsss help ill give briliantest ​
    7·1 answer
  • (sin30°+cos30°)-(sin60°cos60°) find the value​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!