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
baherus [9]
3 years ago
6

A digital camcorder repair service has set a goal not to exceed an average of 5 working days from the time the unit is brought i

n to the time repairs are completed. A random sample of 12 repair records showed the following repair times (in days): 9, 2, 5, 1, 5, 4, 7, 5, 11, 3, 7, 2. Click here for the Excel Data File (a) H0: μ ≤ 5 days versus H1: μ > 5 days. At α = .05, choose the right option. Reject H0 if tcalc > 1.796 Reject H0 if tcalc < 1.796 a bCalculate the Test statistic.
(c-1) The null hypothesis should be rejected.

TRUE
FALSE
(c-2) The average repair time is longer than 5 days.

TRUE
FALSE
(c-3) At \alpha = .05 is the goal being met?

Yes
No
Mathematics
1 answer:
diamong [38]3 years ago
8 0

Answer:

c-1) The null hypothesis should be rejected.

FALSE

c-2) The average repair time is longer than 5 days.

FALSE

c-3) At \alpha = .05 is the goal being met?

YES we fail to reject the null hypothesis

Step-by-step explanation:

Data given and notation  

\bar X=5.08 represent the mean for the sample  

s=2.999 represent the sample standard deviation for the sample  

n=12 sample size  

\mu_o =5 represent the value that we want to test

\alpha=0.05 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 mean is actually higher than 5, the system of hypothesis would be:  

Null hypothesis:\mu \leq 5  

Alternative hypothesis:\mu > 5  

If we analyze the size for the sample is > 30 but we don't know the population deviation so 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{5.083-5}{\frac{2.999}{\sqrt{12}}}=0.0958    

P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=12-1=11  

Since is a one side test the p value would be:  

p_v =P(t_{(11)}>0.0958)=0.4627  

Conclusion  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL reject the null hypothesis, so we can conclude that the population mean is not significantly higher than 5.  

c-1) The null hypothesis should be rejected.

FALSE

c-2) The average repair time is longer than 5 days.

FALSE

c-3) At \alpha = .05 is the goal being met?

YES we fail to reject the null hypothesis

You might be interested in
What is the common ratio for this geometric sequence 27,9,3,1<br>A.1/6<br>B.6<br>C.3<br>D.1/3
iris [78.8K]
It will be D!!!!!!!!!!!!!!!!!!!!!!!!!
6 0
3 years ago
Read 2 more answers
One of the students in the class scored 100 on the midterm but got overconfident, slacked off, and scored only 15 on the final e
miss Akunina [59]

Answer:

Increase

Step-by-step explanation:

Since your not including the bad mark, it'd increase.

3 0
3 years ago
Help is needed please!
Schach [20]

The distance travelled is 10 m

The velocity gained at the end of the time is 2 m/s

<h3>Motion</h3>

From the question, we are to determine distance travelled and the velocity gained

From one of the equations of motion for <u>linear motion</u>, we have that

S = ut + 1/2at²

Where S is the distance

u is the initial velocity

t is the time taken

and a is the acceleration

First, we will calculate the acceleration

Using the formula,

F = ma

Where F is the force

m is the mass

and a is the acceleration

∴ a = F/m

Where F is the force

and a is the acceleration

From the given information,

F = 50 N

m = 250 kg

Putting the parameters into the equation,

a =  50/250

a = 0.2 m/s²

Thus,

From the information,

u = 0 m/s (Since the object was initially at rest)

t = 10 s

S = 0(t) + 1/2(0.2)(10)²

S = 10 m

Hence, the distance travelled is 10 m

For the velocity

Using the formula,

v = u + at

Where v is the velocity

v = 0 + 0.2×10

v = 2 m/s

Hence, the velocity gained at the end of the time is 2 m/s

Learn more on Motion here: brainly.com/question/10962624

#SPJ1

7 0
1 year ago
What are the correct justifications , listed in proper order?
Sergio039 [100]

Answer:

4 5 6 7

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
If 60 marks is 40% what is the full marks
alina1380 [7]

Let the full marks = x

Then, it would be: x*40/100 = 60

x = 6000/40

x = 150

Full marks will be 150

8 0
3 years ago
Read 2 more answers
Other questions:
  • A newspaper is surveying voters from Idaho regarding voting issues. Which is the most appropriate population to sample for this
    15·1 answer
  • Explain why it is possible to draw more than two different rectangles with an area of 100 square units, but it is not possible t
    15·1 answer
  • How to do the problem
    14·1 answer
  • What is an example for bad debt
    11·2 answers
  • What is the greatest whole number that rounds to 2,800 when rounded to the nearest​ hundred? The least whole​ number?
    15·1 answer
  • Please help me 30 minutes more please please
    7·1 answer
  • PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*.. <br> IM GIVING 40 POINTS !! DONT SKIP :((.
    9·1 answer
  • I need an explanation and an answer please.
    13·1 answer
  • PLEASE HURRY!! <br> simplify completely<br> show all work for full credit
    13·1 answer
  • AXYZ is reflected across the y-axis. What are the endpoints of segment YZ?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!