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
qwelly [4]
2 years ago
5

In a random sample of 26 residents of the state of Montana, the mean waste recycled per person per day was 2.8 pounds with a sta

ndard deviation of 0.23 pounds. Determine the 80% confidence interval for the mean waste recycled per person per day for the population of Montana. Assume the population is approximately normal. Step 1 of 2: Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Mathematics
1 answer:
Rainbow [258]2 years ago
4 0

Answer:

The critical value that should be used in constructing the confidence interval is T = 1.316.

The 80% confidence interval for the mean waste recycled per person per day for the population of Montana is between 2.741 pounds and 2.859 pounds.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 26 - 1 = 25

80% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 25 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.8}{2} = 0.9. So we have T = 1.316

The critical value that should be used in constructing the confidence interval is T = 1.316.

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 1.316\frac{0.23}{\sqrt{26}} = 0.059

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 2.8 - 0.059 = 2.741 pounds

The upper end of the interval is the sample mean added to M. So it is 2.8 + 0.059 = 2.859 pounds.

The 80% confidence interval for the mean waste recycled per person per day for the population of Montana is between 2.741 pounds and 2.859 pounds.

You might be interested in
Uber charges $0.80 per mile and a booking fee of $2.30. Lyft charges $1.07 per mile with no booking fee. Which of the systems of
gregori [183]

Answer:

Step-by-step explanation:

Let c represent the total cost of booking either Uber or Lyft for x miles.

Let m represent the number of miles ridden with either Uber or Lyft.

Uber charges $0.80 per mile and a booking fee of $2.30. This means that the total cost of riding with Uber for m miles would be

c = 2.30 + 0.8m - - - - - - - - - -1

Lyft charges $1.07 per mile with no booking fee. This means that the total cost of riding with Lyft for m miles would be

c = 1.07m - - - - - - - - - -2

Equation 1 and equation 2 are the system of equations that bests models this situation

8 0
3 years ago
#1. Which of the following suffixes means “bearing or producing”? A. -osis B. -oferous C. -fic D. -oid....#2. Which of the follo
AlexFokin [52]
#1-fic
#2 -oid

I took latin suffixes
5 0
2 years ago
Solve for x 7x-2x+15=10
Juliette [100K]
The answer is -1....................
5 0
2 years ago
Read 2 more answers
Lines/and n intersect, as shown below.
Inessa05 [86]

Answer:

.................. ........

5 0
2 years ago
The number of pieces of popcorn in a large movie theatre popcorn bucket is normally distributed, with a mean of 1610 and a stand
romanna [79]

Answer:

A

Step-by-step explanation:

We know that in normal distribution, approximately 34% of bags will fall with in one standard deviation on one side. On both sides within the range of 1 standard deviation, 34 + 34 = 68 % of bags will fall.

Our range is:

1600 to 1620

1610 - 10 to 1610 + 10

So the answer is 1

That means, that 68% is the answer.

7 0
3 years ago
Read 2 more answers
Other questions:
  • What is 5/(square root)4
    8·2 answers
  • If i want to divide a circle into 22 equal parts on a piece of cardboard that is6'' by 6 and 1/2" how do i do the math
    6·1 answer
  • Which of the following is Half of 2330?
    12·2 answers
  • You are thirsty,so a friend has offered to give you 50% of his water. What information must you have in order to find out how mu
    15·2 answers
  • Herb, an electric gardener and mathematician, wants to create a trapezoidal flower bed; he wants to dedicate 36 square feet of h
    9·1 answer
  • I need help to start this problem. Can some help? The problem is 5k+6-k≥-14
    8·2 answers
  • -26=b-13 <br> Plz answer I’m a month late on this test
    11·1 answer
  • What is 87 divided by 24
    9·1 answer
  • The mean,median and mode of these sets of data:<br>A:14,12,24,36,23​
    6·1 answer
  • SOLVE BOTH PROBLEMS PLEASE.<br><br> Solve for b: A=6b<br><br><br> Solve for b : A=1/2bh
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!