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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.

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1 answer = 1 step closer to me getting to play animal crossing
OLEGan [10]

Answer:

The answer to your question is the letter A. 20 ft²

Step-by-step explanation:

Data

length of a side = 10 ft

length of the diameter = 10 ft

length of the radius = 5 ft

Process

1.- Calculate the area of the square

Area of the square = side x side

                                = 10 x 10

                                = 100 ft²

2.- Calculate the area of the circle

Area = πr²

Area of the circle = (3.14)(5)²

Area of the circle = 78.5 ft²

3.- Calculate the remaining area

Remaining area = 100 - 78.5

Remaining area = 21.5 ft²   ≈ 20 ft²

3 0
3 years ago
Do you think the equations (x−1)(x+3)=17+x and (x−1)(x+3)+500=517+x should have the same solution set? Why?
oksano4ka [1.4K]

Answer:

Those two pair of equations have the same solution set.

Step-by-step explanation:

There are two equations  

(x-1)(x+3)=17+x ..... (1) and  

(x-1)(x+3)+500=517+x ...... (2)

We have to check the same solution set will be there for equations (1) and (2) or not.

Now, we are going to rearrange the equation (2).

(x-1)(x+3)+500=517+x

⇒ (x-1)(x+3)=517-500+x

⇒(x-1)(x+3)=17+x

This is the same equation as equation (1).  

Therefore, there will be the same solution set for equations (1) and (2).  (Answer)

There are two equations  

(x-1)(x+3)=17+x ..... (3) and  

3(x-1)(x+3)+500=51+3x ...... (4)

We have to check the same solution set will be there for equations (3) and (4) or not.

Now, we are going to rearrange the equation (4).

3(x-1)(x+3)+500=51+3x

⇒ 3(x-1)(x+3)=3(17+x)

⇒(x-1)(x+3)=17+x

This is the same equation as equation (3).  

Therefore, there will be the same solution set for equations (3) and (4). (Answer)

7 0
3 years ago
Find the following quantity. 6% of 124 7.44 0.744 74.4 744
d1i1m1o1n [39]
6% of 124...." of " means multiply
.06(124) = 7.44
7 0
3 years ago
Read 2 more answers
7x+5/9 ​(Simplify your answer. Use integers or fractions for any numbers in the​ expression.)
Black_prince [1.1K]

nothing can be further simplify in this problem

5 0
3 years ago
Anyone mind helping me ?
storchak [24]

Answer:

<GOJ

Step-by-step explanation:

O is the center of the circle

So central angle is <GOJ

3 0
3 years ago
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