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
Sergeeva-Olga [200]
2 years ago
6

According to the Census Bureau, 3.39 people reside in the typical American household. A sample of 26 households in Arizona retir

ement communities showed the mean number of residents per household was 2.73 residents. The standard deviation of this sample was 1.22 residents. At the .10 significance level, is it reasonable to conclude the mean number of residents in the retirement community household is less than 3.39 persons?
Mathematics
1 answer:
Vikki [24]2 years ago
3 0

Answer:

t=\frac{2.73-3.39}{\frac{1.22}{\sqrt{26}}}=-2.758    

df=n-1=26-1=25  

p_v =P(t_{(25)}  

Since the p value is lower than the significance level 0.1 we have enough evidence to reject the null hypothesis, and we can conclude that the true mean is significanlty lower than 3.39 personas at 10% of significance.

Step-by-step explanation:

Data given and notation  

\bar X=2.73 represent the sample mean

s=1.22 represent the sample standard deviation

n=26 sample size  

\mu_o =3.39 represent the value that we want to test

\alpha=0.1 represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true mean is less than 3.39 persons, the system of hypothesis would be:  

Null hypothesis:\mu \geq 3.39  

Alternative hypothesis:\mu < 3.39  

The statistic is given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

Calculate the statistic

We can replace in formula (1) the info given like this:  

t=\frac{2.73-3.39}{\frac{1.22}{\sqrt{26}}}=-2.758    

P-value

The degreed of freedom are given by:

df=n-1=26-1=25  

Since is a one sided lower test the p value would be:  

p_v =P(t_{(25)}  

Conclusion  

Since the p value is lower than the significance level 0.1 we have enough evidence to reject the null hypothesis, and we can conclude that the true mean is significanlty lower than 3.39 personas at 10% of significance.

You might be interested in
3 less than c in numbers
Ira Lisetskai [31]

Answer:

Step-by-step explanation:

3<3

7 0
2 years ago
How do you write 36/100 as a fraction in simplest form?
maks197457 [2]

Answer:

Step-by-step explanation:

8 0
2 years ago
A circular swimming pool has a radius of 20 feet. A fence is going to be built so that there is a 4-foot space around the entire
Law Incorporation [45]

Answer: she forgot to multiply the radius by 2 in the formula .

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Use greatest common factor and distributive property to write equivalent expressions 5x+20y
leonid [27]

Answer:

I think it is 5 if I did it right

S

4 0
2 years ago
Pleas help me sovle this
frozen [14]
What exactly are we solving?? the rest of the angles or the perimeter?
4 0
2 years ago
Other questions:
  • Express in simplified exponential notation.<br> x3 • x5 =
    12·2 answers
  • Which number is the same as 125,000,000
    15·1 answer
  • What is the best description of the data in the histogram?
    11·2 answers
  • PLEEEEEASEEEE HELP!(DETENTION IMMINENT!)
    15·2 answers
  • Please helppp due in 10 minutesss!!!
    12·1 answer
  • Hewp! Will gib brainliest!!
    15·2 answers
  • A circle has a radius of 3.5. What is the circumference? Use 3.14 for Pi.
    5·1 answer
  • Help please will give brainest.
    11·1 answer
  • Write the linear equation in slope-intercept form given the following. slope = 3; y-intercept = -7
    10·2 answers
  • I need help, plzzzzzzzzzz 10 points
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!