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prisoha [69]
3 years ago
14

The following table gives results from two groups of students who took a nonproctored test. Use a 0.01 significance level to tes

t the claim that the samples are from populations with the same mean.
Group 1: n=30 mean=70.29 s=22.09
Group 2: n=32 mean=74.26 s=18.15

Original claim:
Opposite claim:
Alternative and null hypotheses:
Significance level:
Test statistic:
P-value:
Reject or fail to reject:
Final Conclusion:

Mathematics
1 answer:
Nana76 [90]3 years ago
6 0

Answer:

Original claim is \mu_{1} =\mu_{2}

Opposite claim is \mu_{1} \neq \mu_{2}

Null and alternative hypotheses:

H_{0}:\mu_{1} = \mu_{2}

H_{1} : \mu_{1} \neq \mu_{2}

Significance level: 0.01

Test statistic:

We can use TI-84 calculator to find the test statistic and P-value. The steps are as follows:

Press STAT and the scroll right to TESTS

Scroll down to 2-SampTTest... and scroll to stats.

Enter below information.

\bar{x_{1}}=70.29

Sx1=22.09

n_{1} = 30

\bar{x_{2}}=74.26

Sx2=18.15

n_{2} = 32

\mu_{1} \neq \mu_{2}

Pooled: Yes

Calculate.

The output is in the attachment.

Therefore, the test statistic is:

t=-0.78

P-value: 0.4412

Reject or fail to reject: Fail to reject

Final Conclusion: Since the p-value is greater than the significance level, we, therefore, fail to reject the null hypothesis and conclude that the there is sufficient evidence to support the claim that the samples are from populations with the same mean.

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One side of a triangular garden is x feet long. The other two sides of the garden are both 5 feet less than twice the length of
Gnoma [55]
A:  If the 1st side of the garden is x feet long then the other sides are 2x - 5.  The perimeter is simply the measure of the distance around the triangle, so the length of all three sides added up.  So the equation to find the perimeter (p) would be...

p = x + (2x+5) + (2x+5)
or
p = x + 2(2x+5)

This is actually an equation so the expression to represent perimeter would simply be...

x + 2(2x+5)

B:  Since we know the equation for the perimeter and we know that we have 40 feet of fencing, then the equation to find the left over fencing would just be the length of fencing minus the perimeter...

40 - x + 2(2x+5) = the leftover amount of fencing

so the expression is...

40 - x + 2(2x+5)


3 0
3 years ago
Rewrite the equation by completing the squares x^2-x-20
yuradex [85]

Answer:  x = ¹/₂ ± √⁸¹

                     ------------

                            2

Step-by-step explanation:

First write out the equation

x² - x - 20

Now we now write the equation by equating to 0

x² - x - 20 = 0

We now move 20 to the other side of the equation. So

x² - x    =  20,

We now add to both side of the equation square of the half the coefficient of the (x) and not (x²) which is (1) . So, the equation now becomes

x² - x + ( ¹/₂ )² = 20 + ( ¹/₂ )²

x² - ( ¹/₂ )²       = 20 + ¹/₄

( x - ¹/₂ )²       = 20  + ¹/₄, we now resolve the right hand side expression into fraction

( x - ¹/₂ )²          =  ⁸¹/₄ when the LCM is made 4

Taking the square root of both side to remove the square,we now have

x - ¹/₂               =  √⁸¹/₄

x - ¹/₂               =     √⁸¹/₂

Therefore,

                    x = ¹/₂ ± √⁸¹

                          -----------

                               2

3 0
3 years ago
I need help with answers A,B,C
mezya [45]
The first one is two goals per game I believe
8 0
3 years ago
X
Ede4ka [16]

Answer:

Step-by-step explanation:

Sum of all three angle in a triangle=180

Given angles are 35°,45°

Let the remaining angle =x

So 35 +45+X=180

X=180-80

X=100°

Remaining angle =X=100° is the answer

3 0
3 years ago
A survey of Mr. Thorne’s class shows that 5 out of 8 students will buy lunch today. Based on this result, how many of the 720 st
Ipatiy [6.2K]
450


5:8.
X:720

8x90=720 so multiply 5x90

450
7 0
2 years ago
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