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
Rasek [7]
3 years ago
12

An advertisement claims that Fasto Stomach Calm will provide relief from indigestion in less than 10 minutes. For a test of the

claim, 35 randomly selected individuals were given the product; the average time until relief was 9.25 minutes. From past studies, the standard deviation of the population is known to be 2 minutes. Can you conclude that the claim is justified? Find the P-value and let a = 0.05.
Mathematics
1 answer:
nalin [4]3 years ago
6 0

Answer:

z=\frac{9.25-10}{\frac{2}{\sqrt{35}}}=-2.219  

p_v =P(z  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is significantly lower than 10 minutes.    

Step-by-step explanation:

Data given and notation  

\bar X=9.25 represent the sample mean  

\sigma=2 represent the population standard deviation

n=35 sample size  

\mu_o =10 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.  

We need to conduct a hypothesis in order to check if the mean is less than 10 minutes, the system of hypothesis would be:  

Null hypothesis:\mu \geq 10  

Alternative hypothesis:\mu < 10  

Since we know the population deviation, 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".  

Calculate the statistic  

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

z=\frac{9.25-10}{\frac{2}{\sqrt{35}}}=-2.219  

P-value  

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

p_v =P(z  

Conclusion  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the true mean is significantly lower than 10 minutes.    

You might be interested in
Help me for brainlest
SSSSS [86.1K]

Answer: y=3x+3 would be your answer

4 0
2 years ago
What’s 3 times 6 over 7 **MULTIPLY
Amanda [17]

Would it be 2.5??? I think it would but not completely sure

7 0
3 years ago
Read 2 more answers
Peaches are being sold for $2 per pound. If x represents the number of pounds of peaches bought and y represents the total cost
Mama L [17]
2X=Y

2 because it is two dollars per pound.
8 0
3 years ago
Read 2 more answers
The rectangle below has an area of x^2-15x+56x square meters and a length of x-7 meters.
Gennadij [26K]
Heya \: \: ! \\ \\ \\ Area \: of \: rectangle \: = Length \: \times Width \\ \\ We \: are \: given \: that \: , \\ \\ Length \: = \: \: ( \: x - 7 \: ) \: metres \\ Area \: \: \: \: \: = \: \: \: ( \: {x}^{2} - 15x + 56 \: ) \: square \: meters \\ \\ Therefore \: \: , \: \\ {x}^{2} - 15x + 56 = ( \: x - 7) \times Width \\ \\ Width = \frac{ ({x}^{2} - 15x + 56 )}{(x - 7)} \\ \\ Width = \frac{(x - 7)(x - 8)}{(x - 7)} \\ \\ \\ Width = ( \: x - 8 \: ) \: \: m \: \: \: \: \: \: \: \: \: Ans.
3 0
3 years ago
David is buying fish for his aquarium. Clown fish cost $12 each and angel fish cost $7 each. If he has $100 to spend, and he wan
Anni [7]

Answer:

6 clown fish and 4 angel fish

Step-by-step explanation:

<u>lets say he bought 8 clown fish. </u>

12*8 = 96

the last 4 dollars wont be used.

<u>lets say he bought 7 clown fish-</u>

12*7 = 84

100 - 84 = 16. 16 is not a multiple of 7.

<u>lets say he bought 6 clown fish,</u>

12*6 = 72

100 - 72 = 28

28/7 = 4

If David has $100 dollars to spend and wants to spend every dollar, he can buy 6 clown fish and 4 angel fish.

3 0
2 years ago
Other questions:
  • Cory is building an enclosure with recycled cardboard for her collection of model cars. Her design is a shown below.
    14·2 answers
  • Solve (x - 5)^2 = 3.
    11·1 answer
  • Darren cut a lemon pie into 8 equal slices. His friends ate some of the pie and now 5/8 is left . Darren wants to pur each slice
    14·2 answers
  • What is the sequence of the function why equals 4X -3
    6·1 answer
  • Please help me out on this !
    6·2 answers
  • 33 1/3% of what number is 32?
    14·2 answers
  • If csctheta=11/4 &amp; tan Thea&lt; 0 Use the fundamental identities to evaluate cottheta.
    12·1 answer
  • The equation x^2+ y^2+ 8x - 12y + 43 = 0 is the equation of a circle. Complete the square to change this
    6·1 answer
  • Find the length of Zy to the nearest tenth of a foot?
    7·1 answer
  • The range, a measure of variability, Group of answer choices is the difference between the largest (L) and smallest (S) value in
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!