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
Nonamiya [84]
3 years ago
15

The mean age when smokers first start is 13 years old with a population standard deviation of 2 years. A researcher thinks that

the smoking age has significantly changed since the invention of ENDS—electronic nicotine delivery systems. A survey of smokers of this generation was done to see if the mean age has changed. The sample of 30 smokers found that their mean starting age was 12.2 years old. Do the data support the claim at the 5% significance level?
What are the correct hypotheses?
H0:
H1:
Based on the hypotheses, find the following:
Test Statistic z = (Give answer to at least 4 decimal places)
Critical Values =± (Give answer to at least 4 decimal places)
Based on the above we choose to .....

a. Reject the null hypothesis
b. Accept the null hypothesis
c. Fail to reject the null hypothesis

The correct summary would be:

a. There is enough evidence to reject the claim
b. There is not enough evidence to reject the claim
c. There is enough evidence to support the claim
Mathematics
1 answer:
lakkis [162]3 years ago
6 0

Answer:

Null hypothesis:\mu = 13  

Alternative hypothesis:\mu \neq 13

z=\frac{12.2-13}{\frac{2}{\sqrt{30}}}=-2.191  

a. Reject the null hypothesis

c. There is enough evidence to support the claim

Step-by-step explanation:

Data given and notation  

\bar X=12/2 represent the sample mean  

s=20000 represent the standard deviation for the sample  

\sigma =2 represent the population standard deviation

n=30 sample size  

\mu_o =13 represent the value that we want to test  

\alpha=0.05 represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses to be tested  

We need to conduct a hypothesis in order to determine if the smoking age has significantly changed since the invention of ENDS—electronic nicotine delivery systems, the system of hypothesis would be:  

Null hypothesis:\mu = 13  

Alternative hypothesis:\mu \neq 13

Compute the test statistic

We know the population deviation, so for this case is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

We can replace in formula (1) the info given like this:  

z=\frac{12.2-13}{\frac{2}{\sqrt{30}}}=-2.191  

What do you conclude? Using the p-value approach  

Since is a two tailed test the p value would be:  

p_v =2*P(Z  

Since the p_v then the correct decision is:

a. Reject the null hypothesis

And the best conclusion is :

c. There is enough evidence to support the claim

You might be interested in
Una maquina que fabrica tornillos produce un 3% de piezas defectuosas. Si hoy se han apartado 51 tornillos defectuosos cuantos t
grin007 [14]

Answer:

1700 tornillos

Step-by-step explanation:

Dado que la máquina produce un 3% de tornillos defectuosos en un día. Produjo 51 tornillos defectuosos en un día.

Deje que el número total de tornillos producidos ese día sea x

Por lo tanto;

3% de x = 51

3/100 * x = 51

x = 51 * 100/3

x = 1700 tornillos

7 0
2 years ago
Choose the best estimate for the multiplication problem below. 74 X 61
xenn [34]
C. 4200

its the number closest to 74 X 61
3 0
2 years ago
Find the measure of angle X in the triangle below.
Elan Coil [88]

Answer:

  X = 89.92° or 90.08°

Step-by-step explanation:

The law of sines can be used to find the value of angle X:

  sin(X)/26 = sin(67.38°)/24

  sin(X) = (26/24)sin(67.38°) ≈ 0.99999901787

There are two values of X that have this sine:

  X = arcsin(0.99999901787) ≈ 89.92°

  X = 180° -arcsin(0.99999901787) ≈ 90.08°

There are two solutions: X = 89.92° or 90.08°.

_____

<em>Comment on the problem</em>

We suspect that the angle is supposed to be considered to be 90°. However, the given angle is reported to 2 decimal places, so we figure the requested angle should also be reported to 2 decimal places.

The lengths of the short side that correspond to the above angles are 10.03 and 9.97 units. If the short side were considered to be 10 units, the triangle would be a right triangle, and the larger acute angle would be ...

  arcsin(24/26) ≈ 67.38014° . . . . rounds to 67.38°

This points up the difficulty of trying to use the Law of Sines on a triangle that is actually a right triangle.

3 0
2 years ago
Read 2 more answers
Can u answer this please?​
denpristay [2]
2. 2 increasing
3. Y=-x +9 decreasing
4. 2 increasing
5. 6 increasing
6. Y=-3x+1 decreasing
5 0
2 years ago
A plane flew for 5 hours heading west and for 4 hours heading south. If the total distance traveled was 3,444 miles, and the pla
Ganezh [65]

Answer:400 miles per hour

Step-by-step explanation:

Let w = speed at which the plane travelled west

Let s = speed at which the plane travelled south

Distance moved in 5 hrs heading west = 5*w = 5w

Distance moved in 4 hrs heading south = 4*s = 4s

Total distance, 3444= 5w + 4s

w = s + 39( 39 miles/hr faster)

5(s+39) + 4s = 3444

5s + 195 + 4s = 3444

9s = 3249

s = 361 miles per hour

w = s + 39 = 361 +39

= 400 miles per hour

4 0
3 years ago
Other questions:
  • Which of the following mathematical symbols represents "the opposite of"?
    9·2 answers
  • Plot the following radian measures on the given unit circle
    14·2 answers
  • What is 6% of 24,300
    10·2 answers
  • Simplify.<br><br> 8(10m)<br><br> 18m<br> 810m<br> 80 + m<br> 80m
    9·1 answer
  • Quadrilateral A B C D is shown. The uppercase right angle, angle A, is 79 degrees.
    5·1 answer
  • A circular pool of radius r m has a path 2 m wide around its perimeter. If the area of the pool is four-fifths of the total area
    12·1 answer
  • Oak Street and Elm Street run parallel to each other. When Main Street
    12·1 answer
  • There are 26 gold fish in the tank at the store. how many ways can ben choose 5?
    13·1 answer
  • To perform a certain type of blood analysis, lab technicians must perform two procedures. The first procedure requires either on
    10·1 answer
  • WILL GIVE BRAINLIEST!! Rhombus ABCD has perimeter 148, and one of its diagonals has length 24. How long is the other diagonal?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!