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]
3 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]3 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
A variable that is both (1) mutually exclusive, (2) exhaustive, (3) has a rank order AND (4) has equal distance between categori
kodGreya [7K]

Answer:

<em>Interval variables</em>

Step-by-step explanation:

<em>An interval variable which is also refereed to as ordinal variable with the additional property that t has differences in magnitudes of the between two  meaningful values</em>

<em>An example of an interval variable is ,when a temperature of 90 degrees and 100 degrees is the same difference as between 90 degrees and 80 degrees.</em>

<em>Interval variables are also said to be mutually exclusive , exhaustive and also having a rank or ranking order.</em>

6 0
3 years ago
In her last basketball game, Carla scored 46 points. In the current game, she has scored 24 points so far. How many more two-poi
KatRina [158]

Answer:

Carla needs to make at least 11 two-pointer shots in the surrent game

Step-by-step explanation:

The first thing we can do is to find the difference between the number of points that Carla scored in her first game and her second game.

This will be 46 - 24 = 22 points difference

Carla needs to make a certain number of two-pointers to get at least the same score she had in her previous game.

We can get this number of two-pointers that needed to be made by dividing the difference in scores by 2

i.e number of two-pointer shots = 22/2 =11 shots

Therefore, Carla needs to make at least 11 two-pointer shots to be able to get the same score in her current game.

8 0
3 years ago
Cheyenne's bi-weekly gross pay is $529.81. She sees that $18.54 was deducted for Medicare tax. What percent of Cheyenne's gross
Dafna1 [17]
18.54/529.81= 0.0349
0.0349*100=3.49%= 3.5%
6 0
3 years ago
The smallest angle in a triangle measures 9 degrees less than the middle angle. The largest angle is 26 degrees more than 3 time
xeze [42]

Answer:

Step-by-step explanation:

A+B+C = 180°

A ≤ B ≤ C

B = A+9

C = 3A+26

A+B+C = A + (A+9) + (3A+26) = 5A + 35° = 180°

5A = 145°

A = 29°

B = A+9 = 38°

C = 3A+26 = 113°

6 0
3 years ago
Zee fashion is offering 15% off on its entire stock of clothing ​
Elena-2011 [213]

Answer:

sound great so whats your question

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • Give two ordered pairs from the graph that will support the idea that the graph is not a function. Explain how your ordered pair
    15·1 answer
  • I understand the simple interest part, however I don’t understand the compounded interest part, need help quick.
    9·1 answer
  • A pet survey found that the ratio of dogs to cats is 2/5. Write and solve a proportion that shows the number of dogs
    6·1 answer
  • The most important math skill for making change is
    5·2 answers
  • Use the quadratic formula to solve 2x^2=5x+6. Leave your answer in radical form. Show all of your work!
    6·1 answer
  • I need an answer soon, please! Whoever answers first will get Brainliest!!! Please no troll answers!
    9·2 answers
  • Pls help ill give brainiest
    14·1 answer
  • What ratio is equivalent to 2:9
    14·1 answer
  • Combining like terms <br> -6k+7k <br> what is the answer? <br> and if you solve this i have more
    14·2 answers
  • Describe the type of correlation each scatter plot shows. Draw a trend line that
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!