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
mojhsa [17]
2 years ago
11

The American Water Works Association reports that the per capita water use in a single-family home is 62 gallons per day. Legacy

Ranch is a relatively new housing development. The builders installed more efficient water fixtures, such as low-flush toilets, and subsequently conducted a survey of the residences. Twenty-seven owners responded, and the sample mean water use per day was 57 gallons with a standard deviation of 7.9 gallons per day.
At the 0.05 level of significance, is that enough evidence to conclude that residents of Legacy Ranch use less water on average?

a.
What is the decision rule? (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.)

Reject H0: μ ≥ 62 and fail to reject H1: μ < 62 when the test statistic is less than _________.
b.
The value of the test statistic is __________. (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.)
Mathematics
1 answer:
Ahat [919]2 years ago
3 0

Answer:

B 62 gallons

Step-by-step explanation:

Legacy Ranch Is A Relatively New Housing Development. ... Association reports that the per capital water use in a single-family home is 62 gallons per day.

You might be interested in
What is 2 and 5/14 divided by (2 and 5/8 times 1 and 3/7)?
Lina20 [59]
(2 5/14) / (2 5/8 * 1 3/7)....turn them all into improper fractions
(33/14) / (21/8 * 10/7)
(33/14) / (105/28)...when dividing fractions, flip what u r dividing by, then multiply
33/14 * 28/105 = 132/210 reduces to 22/35 <==
3 0
3 years ago
A = 1011 + 337 + 337/2 +1011/10 + 337/5 + ... + 1/2021
egoroff_w [7]

The sum of the given series can be found by simplification of the number

of terms in the series.

  • A is approximately <u>2020.022</u>

Reasons:

The given sequence is presented as follows;

A = 1011 + 337 + 337/2 + 1011/10 + 337/5 + ... + 1/2021

Therefore;

  • \displaystyle A = \mathbf{1011 + \frac{1011}{3} + \frac{1011}{6} + \frac{1011}{10} + \frac{1011}{15} + ...+\frac{1}{2021}}

The n + 1 th term of the sequence, 1, 3, 6, 10, 15, ..., 2021 is given as follows;

  • \displaystyle a_{n+1} = \mathbf{\frac{n^2 + 3 \cdot n + 2}{2}}

Therefore, for the last term we have;

  • \displaystyle 2043231= \frac{n^2 + 3 \cdot n + 2}{2}

2 × 2043231 = n² + 3·n + 2

Which gives;

n² + 3·n + 2 - 2 × 2043231 = n² + 3·n - 4086460 = 0

Which gives, the number of terms, n = 2020

\displaystyle \frac{A}{2}  = \mathbf{ 1011 \cdot  \left(\frac{1}{2} +\frac{1}{6} + \frac{1}{12}+...+\frac{1}{4086460}  \right)}

\displaystyle \frac{A}{2}  = 1011 \cdot  \left(1 - \frac{1}{2} +\frac{1}{2} -  \frac{1}{3} + \frac{1}{3}- \frac{1}{4} +...+\frac{1}{2021}-\frac{1}{2022}  \right)

Which gives;

\displaystyle \frac{A}{2}  = 1011 \cdot  \left(1 - \frac{1}{2022}  \right)

\displaystyle  A = 2 \times 1011 \cdot  \left(1 - \frac{1}{2022}  \right) = \frac{1032231}{511} \approx \mathbf{2020.022}

  • A ≈ <u>2020.022</u>

Learn more about the sum of a series here:

brainly.com/question/190295

8 0
2 years ago
Read 2 more answers
Look at the picture I attached​
kow [346]

Answer:

20

Step-by-step explanation:

hope this helps

6 0
2 years ago
Read 2 more answers
Find an equation for the line below.
Taya2010 [7]

Answer:

y = 1/2x + 5/2

Step-by-step explanation:

4 0
2 years ago
A square of side 4cm is enlarged by a scale factor 2.5. What is the are of the enlarged square
Gnoma [55]

Answer:

10

Step-by-step explanation:

4 * 2.5  = 10

6 0
2 years ago
Other questions:
  • A fence is 4 feet tall. The fence has a shadow that is 5 feet long. Paul is 6 feet tall, and he is standing next to the fence. U
    11·2 answers
  • You roll a 6 sided die. What is P(roll great her than 4)? If necessary round your answer to 2 decimal place
    12·1 answer
  • Twice as many as points as bob
    5·1 answer
  • If you take a number multiply by 7 then takeaway 1,You get the same as if you took the number multiply by 5 then takeaway 8. Wha
    8·1 answer
  • 27/6 in mixed numbers
    14·1 answer
  • Plz help brainlest if correct
    5·1 answer
  • Bob and Kathy want to save a total of $500,000 for retirement. How much should they deposit monthly into an account that pays 3.
    10·1 answer
  • What is the value of x and the length of the segment?
    12·2 answers
  • Increase 270 by 20%​
    12·2 answers
  • Emma has $0.95 in dimes and nickles. She has five more dimes than nickles. How many coins of each type does she have?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!