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
vlada-n [284]
3 years ago
12

Emissions of sulfur dioxide by industry sett off chemical changes in the atmosphere that result in "acid rain". The acidity of l

iquids is measured by pH on a scale of 0 to 14. Distilled water has pH 7.0, and lower pH values indicate acidity. Normal rain is somewhat acidic, so acid rain is sometimes defined as rainfall with a pH below 5.0. Suppose that pH measurements of rainfall on different days in a Canadian forest follow a Normal distribution with standard deviation σ = 0.5. A sample of n days finds that the mean pH is x¯¯¯ = 4.8. What are the P- Values for tests of sample sizes n = 5, n = 15 and n = 40?
Mathematics
1 answer:
horsena [70]3 years ago
5 0

Answer:

Case n =5

z=\frac{4.8-5}{\frac{0.5}{\sqrt{5}}}=-0.894  

Case n =15

z=\frac{4.8-5}{\frac{0.5}{\sqrt{15}}}=-1.549  

Case n = 40

z=\frac{4.8-5}{\frac{0.5}{\sqrt{40}}}=-2.530  

P value

Case n =5

p_v =P(z  

Case n =15

p_v =P(z  

Case n =40

p_v =P(z  

Step-by-step explanation:

Data given and notation  

\bar X=4.8 represent the sample mean

\sigma=0.5 represent the population standard deviation

n sample size  

\mu_o =5 represent the value that we want to test  

\alpha 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 lower than 5, the system of hypothesis would be:  

Null hypothesis:\mu \geq 5  

Alternative hypothesis:\mu < 5  

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:  

Case n =5

z=\frac{4.8-5}{\frac{0.5}{\sqrt{5}}}=-0.894  

Case n =15

z=\frac{4.8-5}{\frac{0.5}{\sqrt{15}}}=-1.549  

Case n = 40

z=\frac{4.8-5}{\frac{0.5}{\sqrt{40}}}=-2.530  

P-value  

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

Case n =5

p_v =P(z  

Case n =15

p_v =P(z  

Case n =40

p_v =P(z  

You might be interested in
cube A has volume V. the edges of cube b are three times as long as the edges of cube A. What is the volume of cube b in terms o
Mariulka [41]

Answer:

V=a cube

If i am wrong let me know!

4 0
3 years ago
What is 5hundreds×10 in unit form?
kipiarov [429]
This basically means 500 x 10.  Unit form is just writing out the numbers.  The answer is 5,000;
7 0
3 years ago
WHAT IS <img src="https://tex.z-dn.net/?f=%5Cfrac%7B-b%7D%7B2a%7D" id="TexFormula1" title="\frac{-b}{2a}" alt="\frac{-b}{2a}" al
kirill115 [55]
Its the quadratic formula
5 0
3 years ago
Classify each of the following as nominal, ordinal, interval, or ratio data.
Marina CMI [18]

Answer:

(a) The ranking of a company in the Fortune 500. Ordinal

(b) The number of tickets sold at a movie theater on any given night.   Ratio

(c) The identification number on a questionnaire.  Nominal

(d) Per capita income.  Ratio

(e) The trade balance in dollars.  Ratio

(f) Profit/loss in dollars.  Ratio

(g) A company’s tax identification.  Nominal

(h) The Standard & Poor’s bond ratings of cities Ordinal

Step-by-step explanation:

Nominal, ordinal, interval, or ratio data are the four fundamental levels of measurement scales that are used to capture data.

Nominal scales are used for labeling variables, without any quantitative value.

Ordinal the order of the values is what is significant, but the differences between each one is not really known.

Interval we know both, the order and the exact differences between the values

Ratio data they have the order, the exact value between units, and have an absolute zero

7 0
3 years ago
What is the value of x?
erica [24]

Answer:

D. 11.1

Sin(46)=8/x

x=8 ÷sin(46)

x=11.1

5 0
2 years ago
Read 2 more answers
Other questions:
  • Jackson used the process of completing the square to solve the equation 2x2−12x=−6.
    8·1 answer
  • Pease I need help..
    13·1 answer
  • Which of the following ordered pairs are solutions to the equation y=−2x+6? (Select all that apply.) Select all that apply: (0,6
    15·1 answer
  • Jared had 75 plants. Nina gave him 96 more. Choose the best way to tell how many plants Jared had. Estimate by rounding each num
    7·1 answer
  • A circle has a circumference of 16 7 feet. What is the<br> radius of the circle, in feet?
    8·1 answer
  • PLEASE HELP, MATH, PLEASE<br>Solve for n: n+5/16 = -1​
    12·1 answer
  • Which of these expressions represent solutions to the equation y3 = 64?
    7·2 answers
  • Li’s family is saving money for their summer vacation. Their vacation savings account currently has a balance of $2,764. The fam
    6·2 answers
  • Perimeter refers to the distance around 2-D figure and calculate perimeter, add the side lengths of the figure
    6·1 answer
  • I still don’t understand can someone give a helping hand?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!