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
VashaNatasha [74]
2 years ago
13

The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,608 kilowatt hours (kWh

) of electricity this year. A local power company believes that residents in their area use more electricity on average than EIA's reported average. To test their claim, the company chooses a random sample of 187 of their customers and calculates that these customers used an average of 10,737 kWh of electricity last year. Assuming that the population standard deviation is 1220 kWh, is there sufficient evidence to support the power company's claim at the 0.05 level of significance?
1. State the null and alternative hypotheses for the test.
2. What is the test statistic?
3. Do we fail to reject or reject the null hypothesis because of sufficient or insufficient evidence?
Mathematics
1 answer:
Marat540 [252]2 years ago
3 0

Answer:

The calculated value Z = 1.4460 < 1.96 at 0.05 level of significance.

The null hypothesis is accepted

A local power company believes that residents in their area use more electricity on average than EIA's reported average

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the mean of the Population = 10,608 kWh of electricity this year.

Given that the size of the sample n = 187

Given that mean of sample x⁻ = 10737 kWh

The Standard deviation of the Population = 1220kWh

Level of significance = 0.05

The critical value (Z₀.₀₅)= 1.96

<u><em>Step(ii):-</em></u>

Null Hypothesis: H₀:μ > 10608 kWh

Alternative Hypothesis: H₁: μ < 10608kWh

Test statistic

                 Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }

                Z = \frac{10737- 10608 }{\frac{1220}{\sqrt{187} } }

                Z = 1.4460

<u>Final answer:-</u>

The calculated value Z = 1.4460 < 1.96 at 0.05 level of significance.

The null hypothesis is accepted

A local power company believes that residents in their area use more electricity on average than EIA's reported average.

You might be interested in
We add the scale factor to each length of an image to get the scaled copy.<br> -True or False?
Anit [1.1K]

Answer:

false

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

original dimensions / scale of the drawing  = dimensions of the scale drawing

To scale an image, divide the original length by the scale

for example the length of the image is 100 and the scale factor is 4

the length of the scale copy = 100/4 = 25

4 0
2 years ago
If the volume of the pyramid shown is 12cm^3, what is its height?
BabaBlast [244]
I think it’s either C or D
6 0
3 years ago
Read 2 more answers
Write (5,0) with a slope of 2 in slope-intercept form
tia_tia [17]
Y = mx + c
y = 2x + c
When x = 5 and y = 0,
0 = 2(5) + c
c = -10

y = 2x - 10
6 0
3 years ago
Here is 100 brain coins have a good day
Harrizon [31]

Answer:

omg thxxx and I hope you have a good day too :)))))))))

5 0
2 years ago
What is the value of x in the parallelogram if two corners are 60 degrees
Phantasy [73]

Answer:

Can I have a picture/image if possible?

Step-by-step explanation:

8 0
2 years ago
Other questions:
  • The beginning balance in a savings account us $64.98 after deposit of $73.87 what is the balance
    13·1 answer
  • What is the answer to the problem 6x+1+7x
    8·2 answers
  • Last summer Karl went to the beach every 5 days Antonia went to the beach every 7 days . How often did they see each other?
    10·1 answer
  • What is the measure of the hypotenuse? <br> A. 17<br> B. 289<br> C. 169<br> D. 13
    6·2 answers
  • EASY BRAINLIEST ANSWER ASAP!!
    13·1 answer
  • Find the side length of<br> square area of 50 cm^2? find the perimeter.
    6·1 answer
  • HELP MARK BRAINLY <br> what's the surface area of this figure
    7·1 answer
  • Help!<br><br> among us<br> Fwkqnf
    8·2 answers
  • It is now twenty-three minutes past six. What time will it be in six hours and sixteen minutes?
    6·1 answer
  • three dice, one red, one blue, and one green, are thrown. what is the probability that the numbers on the three dice are differe
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!