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
Anni [7]
2 years ago
15

The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day.

Assume that the population standard deviation is 2.4 gallons. The mean water usage per family was found to be 19.5 gallons per day for a sample of 3034 families. Construct the 98% confidence interval for the mean usage of water. Round your answers to one decimal place.
Mathematics
1 answer:
mote1985 [20]2 years ago
7 0

The confidence interval for the mean usage of water is (18.7,20.5).

Given population standard deviation of 2.4, mean of 19.5 gallons per day and confidence interval of 98%.

We have to find the confidence interval for the mean usage of water.

To find out the confidence interval we have to first find margin of error.

μ=19.5

σ=2.4

α=0.98

α/2=0.49

We have to find the z value for the p value 0.49 which is z=2.33

Margin of error=z*μ/\sqrt{n}

=2.33*19.5/\sqrt{3034}

=0.82

lower level=mean -m

=19.5-0.82

=18.68

after rounding upto 1 decimal

=18.7

upper mean = mean+m

=19.5+0.82

=20.52

Hence the confidence interval for the usage of water is (18.7,20.52).

Learn more about margin of error at brainly.com/question/10218601

#SPJ4

You might be interested in
2 5/16 divided into 7/8 equals what
Whitepunk [10]

Answer:

4 1/14

Step-by-step explanation:

2 5/16=57/16

57/16*8/7=57/16 divided by 7/8

57/16*8/7=57/2*7=57/14=4 1/14

8 0
3 years ago
Help please I will be so happy
bearhunter [10]
The missing side length is 7.2 rounded to the nearest tenth
7 0
3 years ago
Cynthia Besch wants to buy a rug for a room that is 19 ft wide and 32 ft long. She wants to leave a uniform strip of floor aroun
Rainbow [258]

Answer:

The rug should be 15 ft wide and 28 ft long.

Step-by-step explanation:

I have attached a figure that represents the situation.

The the rug is l by h, the width of the strip of floor is w.

We are told that Cynthia can only afford 420 square feet of carpeting; therefore, it must be that

l*h=420 <em>(this says the area of the rug must be 420 square feet)</em>

From the figure we see that

l= 32-2w

h=19-2w

Therefore,

l*h=420\\\\(32-2w)(19-2w)=420

We expand this equation and get:

4w^2-102w+608=420\\\\4w^2-102w+188=0

using the quadratic equation we get two solutions:

w=2\\w=23.5

since the second solution, namely w=23.5, is larger than one of the dimensions of the room (is greater than 19 ft) it cannot be the width of the strip; therefore, we take w=2 to be our solution.

Now we find the dimensions of the rug:

l=32-2(2)=28\\\\h=19-2(2)=15

The rug is 15 ft wide and 28 ft long.

8 0
3 years ago
|9-(-1)|= simplify the expression
Hitman42 [59]

Answer:

10

Step-by-step explanation:

Remove parentheses.

|9+1|

Simplify  9+1  to 10.

|10|

simplify

10

7 0
3 years ago
The sum of two numbers is 21. the second number is six times the first number.
Tamiku [17]

Answer:

Therefore first number is 3 and second number is 18

Step-by-step explanation:

Sum of the two numbers is 21 and Second number is six times the first number

x+6x = 21

 7x = 21

x = 21/7

x = 3

substitute x value in 6x to find second number,

 = 6x

 = 6*3

 = 18

8 0
3 years ago
Other questions:
  • In 2014, the population of Hong Kong was estimated to be approximately 7,112,688 people. The city covers an area of approximatel
    7·1 answer
  • Box A contains 5 dark chocolates and
    9·2 answers
  • math problem 8th grade the gonzalez family drove from 10:38 a.m. - 2 05 p.m. how long did they drive? is it 3hours &amp; 37minut
    15·1 answer
  • Convert to slope intercept form (y=mx+b). 2x-4y=8
    14·2 answers
  • The distance in miles from Mercury to the Sun in scientific notation is 3.6 × 10
    11·1 answer
  • The Science Club went on a two-day field trip. The first day the members paid $40 for transportation plus
    12·1 answer
  • Find the area and perimeter of parallelogram.
    13·1 answer
  • To the nearest tenth, the P( -2.1 &lt; z &lt; 0) is:
    7·1 answer
  • A Dodecahedron (12 sided die) is thrown, what is the P(even AND a less than or equal to 6)?
    12·1 answer
  • 3. Simplify 3 +2× 4+6/2-5 -1<br><br>4<br><br>2<br><br>25<br><br>3​
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!