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
Ipatiy [6.2K]
3 years ago
14

The display provided from technology available below results from using data for a smartphone​ carrier's data speeds at airports

to test the claim that they are from a population having a mean less than 4.004.00 Mbps. Conduct the hypothesis test using these results. Use a 0.050.05 significance level. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim. LOADING... Click the icon to view the display from technology. What are the null and alternative​ hypotheses? A. Upper H 0H0​: muμequals=4.004.00 Mbps

Mathematics
1 answer:
Travka [436]3 years ago
3 0

Answer:

Null hypothesis:\mu \geq 4.0    

Alternative hypothesis:\mu < 4.00    

t=\frac{3.48-4.00}{\frac{1.150075}{\sqrt{45}}}=-3.033077    

df=n-1=45-1=44

Since is a left-sided test the p value would be:    

p_v =P(t_{(44)}    

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the mean is significantly less than 4.00 at 5% of significance.  

Step-by-step explanation:

Data given and notation    

\bar X=3.48 represent the sample mean

s=1.150075 represent the sample standard deviation    

n=45 sample size    

\mu_o =4.00 represent the value that we want to test  

\alpha=0.05 represent the significance level for the hypothesis test.    

z 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 mean is less than 4.00 :    

Null hypothesis:\mu \geq 4.0    

Alternative hypothesis:\mu < 4.00    

Since we don't know the population deviation, is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:    

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

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".    

Calculate the statistic    

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

t=\frac{3.48-4.00}{\frac{1.150075}{\sqrt{45}}}=-3.033077    

P-value    

First we need to calculate the degrees of freedom given by:

df=n-1=45-1=44

Since is a left-sided test the p value would be:    

p_v =P(t_{(44)}    

Conclusion    

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the mean is significantly less than 4.00 at 5% of significance.    

You might be interested in
Factor the expression<br> C^2 - 2c - 63
vagabundo [1.1K]

Answer:

(c + 7) ( c - 9)

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
50 POINTS FOR THIS 1 QUESTION I JUST NEED THE ANSWER
Oksana_A [137]

Answer:

a = 3

b = 2

c = 0

d = -4

Step-by-step explanation:

Form 4 equations and solve simultaneously

28 = a(2)³ + b(2)² + c(2) + d

28 = 8a + 4b + 2c + d (1)

-5 = -a + b - c + d (2)

220 = 64a + 16b + 4c + d (3)

-20 = -8a + 4b - 2c + d (4)

(1) + (4)

28 = 8a + 4b + 2c + d

-20 = -8a + 4b - 2c + d

8 = 8b + 2d

d = 4 - 4b

Equation (2)

c = -a + b + d + 5

c = -a + b + 4 - 4b+ 5

c = -a - 3b + 9

28 = 8a + 4b + 2c + d (1)

28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b

28 = 6a - 6b + 22

6a - 6b = 6

a - b = 1

a = b + 1

220 = 64a + 16b + 4c + d (3)

220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b

220 = 60b + 100

60b = 120

b = 2

a = 2 + 1

a = 3

c = -3 - 3(2) + 9

c = 0

d = 4 - 4(2)

d = -4

5 0
3 years ago
Read 2 more answers
The volume of a sphere is found using the formula V= 4/3 3.14r^3. If the radius of a sphere is 3/4 feet, what is the volume of t
Rufina [12.5K]
The volume of the sphere is expressed in the formula V= 4/3 3.14r^3 and we are given the radius of the sphere. to find the volume, we can directly substitute r as the unit of the volume to be determined is consistent with the given. Hence, via subsitution, the answer is 1.7671 cubic feet 
6 0
3 years ago
A diagonal of a cube measures 294 cm. The diagonal of a face measures 14 cm. What is the length of an edge of the cube? Round to
miv72 [106K]

Answer:

The answer is 9.9

4 0
3 years ago
Read 2 more answers
the marked price of an article , which is brought it for Rs 1280 is 25% above the cost price. if the discount is allowed and cus
AnnZ [28]

Answer:

I corrected my mistakes.

6 0
3 years ago
Other questions:
  • A rectangle has a length of 6 cm and a width of 3 cm. Each side is doubled in length. What is the ratio of the areas of the two
    9·1 answer
  • Evaluate the expression for the given value of the variable.
    15·1 answer
  • A bag contains 8 red marbles, 7 blue marbles and 5 green marbles. If two marbles are drawn out of the bag, what is the exact pro
    6·1 answer
  • The Quadratic Formula indicates whether the graph intersects the ____ and where the ____
    13·1 answer
  • If a train travels 80 m/s in two hours and 20 minutes, how far has it traveled?
    7·1 answer
  • Use the diagram and given information to answer the questions and prove the statement.
    8·1 answer
  • I need help with this question.
    6·2 answers
  • The diagram shows a dilation of segment AB. Which
    10·2 answers
  • Which of the following expressions is equivalent to 2x + y − 4y + 8?
    8·2 answers
  • hat is the area of one base of the triangular prism? 24 square units 48 square units 160 square units 200 square units
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!