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
V125BC [204]
3 years ago
13

By law, an industrial plant can discharge no more than 500 gallons of waste water per hour, on the average, into a neighboring l

ake. Based on other infractions they have noticed, an environmental action group believes this limit is being exceeded. Monitoring the plant is expensive, and a random sample of four hours is selected over a period of a week. Software reports:
Variable No. Cases Mean SD SE of Mean
WASTE 4 1000.0 400.0 200.0
(a) Test whether the mean discharge equals 500 gallons per hour against the alternative that the limit is being exceeded. Find the P-valuc and interpret.
(b) Explain why the test may be highly approximate or even invalid if the population distribution of discharge is far from normal.
(c) Explain how your one-sided analysisimplicitly tests the broader null hypothesis that µ <>
Mathematics
1 answer:
lisabon 2012 [21]3 years ago
3 0

Answer:

P = 0.0438 ; We reject the Null and conclude that there is significant evidence that the discharge limit per gallon of waste has been exceeded.

Due to the small sample size.

Step-by-step explanation:

H0: μ = 500

H1 : μ > 500

Test statistic :

(xbar - μ) / S.E

Tstatistic = (1000 - 500) / 200

= 500 / 200

= 2.5

Pvalue from Test score ; df = 4 - 1 = 3 ; using calculator :

Pvalue = 0.0438

At α = 0.05

Pvalue < α ; We reject the Null and conclude that there is significant evidence that the discharge limit per gallon of waste has been exceeded.

The test above has a very small sample size, and for a distribution to be approximately Normal, the sample size must be sufficiently large enough according to the Central limit theorem.

For a two sided analysis ; the Pvalue is twice that for the one sided, hence, Pvalue = (0.0438 * 2) = 0.0876 yielding a less strong evidence against the Null.

You might be interested in
THROUGH (-1,-2) PARALLEL TO Y +7/6X+1
julia-pushkina [17]

Answer:

If a line is parallel to another line, the slopes of both lines are the same. So far the equation would be, y=7/6x+b. To find the value of b, you substitute the given point into the equation. -2=7/6(-1)+b, -2=-7/6+b, b=-5/6. So the equation of the line is y=7/6x-5/6.

:)

4 0
2 years ago
Please add this problem 4 5/6 + 6/7=
sweet [91]
Convert to a mixed number:
239/42

Divide 239 by 42:
4 | 2 | 2 | 3 | 9

42 goes into 239 at most 5 times:
 | | | | 5
4 | 2 | 2 | 3 | 9
 | - | 2 | 1 | 0
 | | | 2 | 9

Read off the results. The quotient is the number at the top and the remainder is the number at the bottom:
 | | | | 5 | (quotient)
4 | 2 | 2 | 3 | 9 | 
 | - | 2 | 1 | 0 | 
 | | | 2 | 9 | (remainder)


The quotient of 239/42 is 5 with remainder 29, so:

Answer: 5 29/42
7 0
3 years ago
Read 2 more answers
What's the smallest possible perimeter of a rectangle with an area of 35 cm? (36 small squares 1 cm by 1 cm)
vfiekz [6]

Answer:

12 miles per hour...........

6 0
2 years ago
Solve – 4(x + 6) – 6 = 4(x – 1) for x
hjlf

4Step-by-step explanation:

bhtrrerh

6 0
3 years ago
I don't get how to solve this problem
White raven [17]
You're gonna want to divide 16 from 40. the answer to that is how many containers being bought. because its one dollar per pint its will be the same answer
5 0
3 years ago
Read 2 more answers
Other questions:
  • The messure of &lt; bls is 90 degrees . Explain why &lt; lsb and &lt; lbs must be complementary
    15·1 answer
  • Simplify 1/3(6x−12)+4x
    10·1 answer
  • Which shows 542 − 462 being evaluated using the difference of squares method?
    15·2 answers
  • Factor completely 5x^2 -15x+25
    9·1 answer
  • A city planner is mapping out some new features for a triangle park. She sketches the park on a grid paper. The coordinates of t
    8·1 answer
  • A Web music store offers two versions of a popular song. The size of the standard version is 2.2
    7·1 answer
  • Carol wants to build a fence around her
    9·1 answer
  • Evaluate the expression below for x = 2, y = -3, and z = -1.
    13·1 answer
  • Help please!!!<br><br><br><br><br><br> ———————-
    13·2 answers
  • Avani has 5 posters she wants to hang on the wall. How many different ways can the posters be arranged in a row?​
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!