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 difference of the square of a number and three times the sum of the number and 7 is more than the product of that number and
Pachacha [2.7K]

Answer:

x2 - 3(x + 7) > 15x

x2 - 3x - 21 > 15x

6 0
3 years ago
HEEEEEELLLLLLLPPPPP !!!!!!!!!​
ludmilkaskok [199]

Calculate the length of each path using the law of cosines:

AB = √(8^2 + 8^2 - 2*8*8*cos(36)

AB = 4.94 ft.

XY = √(8^2 + 8^2 - 2*8*8*cos(79)

XY = 10.18 ft.

ZY = √(8^2 + 8^2 - 2*8*8*cos(65)

ZY = 8.60 ft.

XY is longer than ZY and ZY is longer than AB

The first choice is correct.

5 0
3 years ago
Read 2 more answers
Which answer is the equation of the line represented in function notation?
Vikki [24]
The answer will be D
5 0
3 years ago
Simplify the expression please help
Mila [183]
Simplify the following:

((-1^3)/(-3)^(-3))^2

1^3 = 1:
((-1)/(-3)^(-3))^2

(-3)^(-3) = 1/(-1)^3×1/3^3 = (-1)/3^3:
((-1)/((-1)/3^3))^2

3^3 = 3×3^2:
((-1)/(-1/(3×3^2)))^2

3^2 = 9:
((-1)/((-1)/(3×9)))^2

3×9 = 27:
((-1)/((-1)/27))^2

Multiply the numerator of (-1)/((-1)/27) by the reciprocal of the denominator. (-1)/((-1)/27) = (-27)/(-1):
((-27)/(-1))^2

(-27)/(-1) = (-1)/(-1)×27 = 27:
27^2

 | 2 | 7
× | 2 | 7
1 | 8 | 9
5 | 4 | 0
7 | 2 | 9:
Answer:  729 = 1/729 thus c: is your Answer
3 0
3 years ago
Mrs. Pollo was making pizza. She used 3/8 of a cup of olives to make 1 pizza. At this rate, what amount of olives would she use
-BARSIC- [3]
Answer is 3/16 cup
She used 3/8 cup of olives on one pizza
She is going to use 1/2 of 3/8 cup for 1/2 pizza
1/2 of 3/8 = x
Multiply (1/2)(3/8) =
3/16 cup of olives

4 0
2 years ago
Read 2 more answers
Other questions:
  • Calculator Active
    8·1 answer
  • X= -5,0,5
    10·1 answer
  • Rollers Bowling charges families a group rate of $12.50 for shoes plus an additional $4.75 for each game a family member plays.
    7·1 answer
  • What is 998 divided by 9?
    7·2 answers
  • Dilations on coordinate plane algebraic representation
    7·1 answer
  • What is the volume of a hemisphere that has a diameter of 12.6 cm, to the nearest tenth of a cubic centimeter?
    10·1 answer
  • FIND THE GCF, THEN FACTOR THE EXPRESSIONS
    11·1 answer
  • To amend a​ country's constitution, 2 9 of the 78 states in that country must approve the amendment. If 21 states approve an​ am
    10·1 answer
  • A. 125+25+5+1<br> B. 25+5+1+1/5<br> C.1+1/5+1/25+1/125<br> D.1/125+1/5+5+125
    11·1 answer
  • the point-slope equation for a given line may look different than the slope-equation form but they will simplify algebraically t
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!