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
mario62 [17]
3 years ago
8

In a random sample of 5 residents of the state of Texas, the mean waste recycled per person per day was 1.9 pounds with a standa

rd deviation of 0.89 pounds. Determine the 99% confidence interval for the mean waste recycled per person per day for the population of Texas. 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:
sammy [17]3 years ago
5 0
<h2>Answer with explanation:</h2><h2 />

The confidence interval for population mean is given by :-

\overline{x} \pm\ t_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}

Given : Sample size : n= 5, since n<30 , so the test we use here is t-test.

Sample mean : \overline{x}=1.9\text{ pounds}

Standard deviation: \sigma=0.89\text{ pounds}

Significance level : 1-\alpha:1-0.99=0.01

By using the standard normal distribution table , the critical value corresponds to the given significance level will be :-

t_{n-1,\alpha/2}=t_{5-1,0.01/2}=t_{4,0.005}=4.604

Now, the 99% confidence interval for the mean waste recycled per person per day for the population of Texas will be :-

1.9\pm\ (4.604)\dfrac{0.89}{\sqrt{5}}\\\\\approx1.9\pm1.832\\\\=(1.9-1.832,1.9+1.832)=(0.068,\ 3.732)

Hence, the 99% confidence interval for the mean waste recycled per person per day for the population of Texas  = (0.068, 3.732)

You might be interested in
5 kilograms of coffee are going to be shared equally among 44 people.
liraira [26]

Answer:

A

Step-by-step explanation:

5/44=0.11kg

4 0
1 year ago
Read 2 more answers
A dog weighs two pounds less than three times the weight of a cat. The dog also weights twenty-two more pounds than the cat. Wri
Solnce55 [7]

Answer:

the cat weighs 21 pounds.

the dog weighs 43 pounds

Step-by-step explanation:

dog = 3x-20 = x + 22

cat = x

3x-20 = x+22

3x = x+42 (add 20 to both sides)

2x = 42 (subtract x from both sides)

x = 21

4 0
3 years ago
The length of a rectangle is twice the width. If the perimeter of the rectangle is 60 units, find the area of the garden.​
AlexFokin [52]
Perimeter = (length+width) x 2


Let w units be the width of the rectangle.

Length of the rectangle = 2w

Perimeter:
(2w+w) x 2 = 60

(3w)2 = 60

6w = 60

w = 10


Area:
2(10) x 10

= 20 x 10

= 200 units

4 0
2 years ago
In a certain town, the wind speed, x, in km/h on a certain day is described by two statements: If 2 times the wind speed is incr
hodyreva [135]
<span>1) if 2 times the wind speed is increased by 2, the wind speed is still less than 46 km/h.

=> 2x + 2 < 46

2) Twice the wind speed minus 27 is greater than 11 km/h.

=> 2x - 27 > 11

Part A: Create a compound inequality to represent the wind speed range. (3 points)


from 2x + 2 < 46

=> 2x < 44

=> x < 22

from 2x - 27 > 11

=> 2x > 11 + 27

=> 2x > 38

=> x > 19

The set of inequalities is

2x + 2 <46
2x - 27 > 11

The solution is x < 22 and x > 19, which is:

19 < x < 22 <----- answer

Part B: Can the wind speed in this town be 20 km/h? Justify your answer by solving the inequalities in Part A. (3 points)

Yes, the wind speed can be 20 km/h, because the solution of the inequality is the range (19,22).

Part C: The average wind speed in another town is 23 km/h, but the actual wind speed is within 4 km/h of the average. Write and solve an inequality to find the range of wind speed in this town.

x ≥ 23 - 4 => x ≥ 19

x ≤ 23 + 4=> x ≤ 27

=> 19 ≤ x ≤ 27

=> [19,27]
</span>
4 0
2 years ago
The principal at valley elementary school had 840 stickers that he gave to 42 children. 2/3 of the children were boys and each o
STatiana [176]

Answer: each girl received 30 stickers.

Step-by-step explanation:

Let x represent the number of stickers that the boys received.

Let y represent the number of stickers that the girls received.

The total number of children was 42. 2/3 of the children were boys. It means that the number of boys were

2/3 × 42 = 28

The number if girls would be

42 - 28 = 14

The total number of stickers that the school principal shared was 840. It means that

28x + 14y = 840- - - - - - - - -1

Each of the boys received the same number of stickers while each girl received twice as many as each boy. It means that

y = 2x

Substituting y = 2x into equation 1, it becomes

28x + 14 × 2x = 840

28x + 28x = 840

56x = 840

x = 840/56

x = 15

y = 2x = 15 × 2

y = 30

4 0
3 years ago
Other questions:
  • can anyone help me??? A bakery sells muffins for $3.50 each. A beverage is $1.75. A class purchases 32 items and spends a total
    13·2 answers
  • Kira drives a truck for a soft drink company. Her truck is filled with 15 -ounce cans and 70 -ounce bottles. Let c be the number
    11·1 answer
  • How do you know if a function is increasing or decreasing?
    12·1 answer
  • 98 POINTS LINEAR PROGRAMMING
    6·1 answer
  • Karlie ate lunch with her friends at Chuy's. They had a delicious meal that 20 cost $62. If the sales tax rate is 8.25% what is
    13·1 answer
  • Geometry// please help!
    11·2 answers
  • A recent study estimated that 68% of US adults enjoy reading a book while relaxing. How many adults are required
    11·1 answer
  • 75 POINTS, 50 POINTS + BRAINLIEST 25 POINTS. HELP PLEASE. RATIONAL EQUATIONS. Ted bikes 3 miles to the store and 3 miles back, T
    5·1 answer
  • Find the distance between the points (-4,-1) and (4,1). Round to 2 decimals places
    14·2 answers
  • Does the relationship show a ratio or a rate?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!