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
katovenus [111]
3 years ago
6

An environmentalist group collects a liter of water from each of 52 random locations along a stream and measures the amount of d

issolved oxygen in each specimen. The mean is 2.78 milligrams (mg). Is this strong evidence that the stream has a mean oxygen content of less than 3 mg per liter? (Suppose we know that dissolved oxygen varies among locations according to a Normal distributions with σ = 0.85 mg. Use α = 0.05.)
Mathematics
1 answer:
julsineya [31]3 years ago
8 0

Answer:

z=\frac{2.78-3}{\frac{0.85}{\sqrt{52}}}=-1.866    

Now we can calculate the p value given by:

p_v =P(z

Since the p value is lower than the significance level of 0.05 given we have enough evidence to REJECT the null hypothesis and the conclusion would be that the true mean for the oxygen content is ignificantly less than 3 mg per liter

Step-by-step explanation:

Info given

\bar X=2.78 represent the mean for the amount of dissolved oxygen

\sigma=0.85 represent the population standard deviation

n=52 sample size selected

\mu_o =3 represent the level that we want to verify

\alpha=0.05 represent the significance level

z would represent the statistic

p_v represent the p value

System of hypothesis

In the problem we want to determine if the stream has a mean oxygen content of less than 3 mg per liter, the hypothesi are:    

Null hypothesis:\mu \geq 3    

Alternative hypothesis:\mu < 3    

Since we know the population deviation the statistic can be calculated like this:

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

Replacing the info given we got:

z=\frac{2.78-3}{\frac{0.85}{\sqrt{52}}}=-1.866    

Now we can calculate the p value given by:

p_v =P(z

Since the p value is lower than the significance level of 0.05 given we have enough evidence to REJECT the null hypothesis and the conclusion would be that the true mean for the oxygen content is ignificantly less than 3 mg per liter

You might be interested in
A graph is constructed such that time (in seconds) is the X-variable and distance (in miles) is the Y-variable. If you plot the
boyakko [2]
5/1 or 5 as slope is the rise or y, over the run or x
3 0
3 years ago
What is the opposite of the opposite of any integer?​
Pani-rosa [81]
<h2>The opposite of an opposite of a integer is the original integer.</h2>
8 0
2 years ago
Read 2 more answers
the base of a triangle prism has an area of 35m. this triangular prism has a height of 7m. what us the volume of this triangular
Trava [24]

Answer:

ion even know

5 0
3 years ago
1/2 (2n + 6) <br> simply the answer and show work
Evgesh-ka [11]

Answer:

The answer is n + 3.

Step-by-step explanation:

1) Simplify.

\frac{2n + 6}{2}

2) Factor out the common term 2.

\frac{2( n+ 3)}{2}

3) Cancle 2.

n + 3

<u>Th</u><u>e</u><u>refor</u><u>,</u><u> </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>n</u><u> </u><u>+</u><u> </u><u>3</u><u>.</u>

7 0
2 years ago
What time is it in new york?
Lunna [17]

Answer:

Step-by-step explanation:

5:13 p.m

3 0
3 years ago
Read 2 more answers
Other questions:
  • I need help with this (Image Attached)
    8·1 answer
  • A 26' Long painting is how many yards Long
    12·2 answers
  • Solve f(1) for f(x)=1-5x<br><br> f(1)= [?]
    14·1 answer
  • Sophia is buying party favors. She has a budget of $2.75 person for 6 people. How much can Sophia spend on party favors? (I need
    14·1 answer
  • The longer leg of a 30,-60,-90 degree triangle is 18: what is the length of the other leg
    15·1 answer
  • In the diagram to the​ right, GKNMVRPT. Find the value of x. Give the scale factor of the left polygon to the right polygon
    13·1 answer
  • Can anybody help me out with this question or gets it
    7·1 answer
  • Which of the following is the set of the second coordinates
    13·1 answer
  • 87500-(3.02x10^4) / 0.00000003
    14·1 answer
  • Which expression is undefined?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!