1. How many variables are involved in the chi-square test?
1 answer:
The result of the respective questions are:
- This chi-square test only takes into consideration one variable.
- The type of chi-square test this is is a Goodness of Fit
- df= 3
- NO
a)
This chi-square test only takes into consideration one variable.
b)
The type of chi-square test this is, is a Goodness of Fit
To test the hypothesis, we must determine whether the actual data conform to the assumed distribution.
The "Goodness-of-Fit" test is a statistical hypothesis test that determines how well the data that was seen resembles the data that was predicted.
c)
Parameter
n = 4
Therefore
Degrees of freedom
df= n - 1
df= 4 - 1
df= 3
d)
In conclusion
Parameters
df = 3
Hence
Critical value = 7.814728
Test statistic = 6.6
Test statistic < Critical value, .
NO, the result of this test is not statistically significant.
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Answer:
x = -1/3 and x = 3
Step-by-step explanation:
I'm not sure, but I think you mean 3x^2 - 8x - 3 = 0
In that case:
1. Add 3 on both sides
3x^2 - 8x -3 + 3 = 3 -> 3x^2 - 8x = 3
2. Divide both sides by 3
x^2 - 8/3x = 1
3. Add ((8/3)/2)^2 to both sides
x^2 - 8/3x + ((8/3)/2)^2 = 1 + ((8/3)/2)^2
4. Simplify
x^2 - 8/3x + (4/3)^2 = 1 + (4/3)^2
x^2 - 8/3x + 16/9 = 1 + 16/9
5. Rewrite x^2 - 8/3x + 16/9 = 1 + 16/9 as a perfect square
and simplify 1 + 16/9
(x - 4/3)^2 = 25/9
6. Find the square root of both sides
7. Simplify
(x - 4/3) = ±5/3
8. Rewrite the equation as two seperate equations
(x - 4/3) = ±5/3 ->
a. (x - 4/3) = 5/3
b. (x - 4/3) = -5/3
9. Solve for x by isolating the variable (add 4/3 to both sides)
a. x = 5/3 + 4/3
b. x = - 5/3 + 4/3
10. Simplify
a. x = 9/3 -> x = 3
b. x = -1/3