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
Keith_Richards [23]
3 years ago
11

Determine the decision criterion for rejecting the null hypothesis in the given hypothesis​ test; i.e., describe the values of t

he test statistic that would result in rejection of the null hypothesis. We wish to compare the means of two populations using paired observations. Suppose that d overbar equals​3.125, subscript dequals​2.911, and nequals​8, and that you wish to test the following hypothesis at the​ 10% level of significance. H0​: mu Subscript d equals 0 against H1​: muSubscript dgreater than0 What decision rule would you​ use?
Mathematics
1 answer:
slega [8]3 years ago
7 0

Answer:

t = \frac{3.125-0}{\frac{2.911}{\sqrt{8}}}= 3.036

We can use the p value as a decision rule is p_v we reject the null hypothesis.

Now we can find the degrees of freedom given by:

df = n-1=8-1=7

And the p value would be:

p_v = P(t_{7} >3.036) = 0.0094

And since the p_v we have enough evidence to reject the null hypothesis in favor to the alternative hypothesis.

Step-by-step explanation:

For this case we have the following statistics for the difference between the paired observations:

\bar d = 3.125 the sample mean for the paired difference

s_d = 2.911 the sample deviation for the paired difference data

n =8 the sample size

The system of hypothesis that we want to check is:

Null hypothesis: \mu_d =0

Alternative hypothesis: \mu_d > 0

And the statistic is given by:

t = \frac{\bar d -\mu_d}{\frac{s_d}{\sqrt{n}}}

And replacing we got:

t = \frac{3.125-0}{\frac{2.911}{\sqrt{8}}}= 3.036

We can use the p value as a decision rule is p_v we reject the null hypothesis.

Now we can find the degrees of freedom given by:

df = n-1=8-1=7

And the p value would be:

p_v = P(t_{7} >3.036) = 0.0094

And since the p_v we have enough evidence to reject the null hypothesis in favor to the alternative hypothesis.

You might be interested in
The grill was regularly priced at $58, but Jared had a coupon for 25% off. How much money did Jared save by using his coupon?
frosja888 [35]

Answer:

He saves $14.50

Step-by-step explanation:

We can find the discount by multiplying the price by the percentage off

58* .25  = 14.50

He saves $14.50


7 0
3 years ago
Read 2 more answers
What is the answer to this math problem......
Anna [14]
The answer is 20 pounds.
5 0
3 years ago
Read 2 more answers
Estimate the quotient for 49 / 311
Makovka662 [10]
To get a close estimate, we can round 49 up to 50 and 311 down to 300, obtaining an estimate of 50/300 = 1/6, or 0.1666... as a repeating decimal. That decimal approximation is a little less than one hundredth away from the actual decimal approximation of ≈ 0.1576
4 0
3 years ago
Read 2 more answers
15/30 = n/34 round to the nearest tenth.
avanturin [10]
The equation given in the question has to be answered to the nearest tenth. The only thing that one should be careful about is the cross multiplication part. Other than that there is no difficulty in the given problem. Now let us get down to the equation in the question.
15/30 = n/34
30 * n = 15 * 34
30n = 510
n = 510/30
   = 51/3
   = 17
So the value of the unknown variable "n" comes out to be 17.
6 0
3 years ago
Read 2 more answers
Convert 13000 milligrams into pounds. Round your answer to the nearest<br> hundredth.
WINSTONCH [101]

Answer: 0.03

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • After six biology tests, Ruben has a mean score of 74. What score does Ruben need on the next test to raise his average (mean) t
    10·1 answer
  • PLEASE HELP ME I BEG YOU PLEASE BRAINLIEST
    7·1 answer
  • Tyler is 4 years older than tiffany in ten years he will be twicse as old a tifinay.
    8·1 answer
  • You start at (8, 1). You move right 2 unit and left 3 units. Where do you end?
    8·2 answers
  • Using the figure below, solve for Y.
    11·1 answer
  • What is a isosceles triangle
    8·2 answers
  • 27% of 16.<br> .27 x 16= 4.32<br><br> how do you use ESTIMATION to check your answer?
    7·1 answer
  • Which expression is equivalent to this expression?<br> 4a + (–6b) – 3a + 2b
    13·1 answer
  • Find the solution to the system. Write your solution as an ordered pair (x,y) with no spaces, no solution, or infinitely many. 3
    15·1 answer
  • What is the solution to the trigonometric inequality 2sin(x)+3&gt;sin^2(x) over the interval 0&lt;=x&lt;=2pi radians?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!