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4 years ago

What is the critical value for a chi-square test with 13 degrees of freedom at the 1 percent level of significance

Mathematics

1 answer:

vagabundo [1.1K]4 years ago

4 0

Answer: 27.688

Step-by-step explanation:

The critical chi-square value $\chi^2_{(df,\alpha)}$ depends on significance level ( $\alpha$ ) and degrees of freedom (df) .

Given significance level: ( $\alpha$ ) = 1% = 0.01

Degrees of freedom (df)= 13

From the chi-square table, the critical chi-square value for df = 13 and $\alpha =0.01$

is $\chi^2_{(df,\alpha)}=27.688$

Hence, the required critical value = 27.688

You might be interested in

Write a recursive rule for the sequence. 7, 6, 13, 19, 32, ...

allsm [11]

Answer:

recursive rule for the given sequence:

$a_n = a_{n-1}+a_{n-2}$ for n > 2

Step-by-step explanation:

Given the sequence:

7, 6, 13, 19, 32, ......

then;

First term $(a_{1})$ = 7

Second term $(a_{2})$ =6

third term $(a_{3})$ = 13 and so on..

You can see that:

$a_3 = a_1+a_2 = 6+7 = 13$

similarly for:

$a_4 = a_2+a_3 = 6+13 = 19$ and so on..

The recursive rule for this sequence is:

$a_n = a_{n-1}+a_{n-2}$ for n > 2

6 0

4 years ago

Help please!What is the x-intercept of the line?X=33 Y=-22X=52 Y=-33X=71 Y=-44

tekilochka [14]

x intercept is -5

Explanation

Step 1

find the slope of the line:

when you know 2 points of the line, you can find the slope, by using:

$\begin{gathered} \text{slope}=\frac{change\text{ in y}}{\text{change in x}}=\frac{y_2-y_1}{x_2-x_1} \\ \text{where} \\ P1(x_1,y_1) \\ P2(x_2,y_2) \end{gathered}$

then,Let

P1(33,-22)

P2(52,-33)

replace,

$\begin{gathered} \text{slope}=\frac{change\text{ in y}}{\text{change in x}}=\frac{y_2-y_1}{x_2-x_1} \\ \text{slope}=\frac{-33-(-22)}{52-33}=\frac{-33+22}{19}=\frac{-11}{19} \\ \text{slope}=-\frac{11}{19} \end{gathered}$

Step 2

find the equation of the line

$y-y_1=slope(x-x_1)\rightarrow equation$

let

$\begin{gathered} \text{slope}=-\frac{11}{19} \\ P1(33,-22) \end{gathered}$

replace,

$\begin{gathered} y-y_1=slope(x-x_1)\rightarrow equation \\ y-(-22)=-\frac{11}{19}(x-33) \\ y+22=-\frac{11}{19}x+\frac{363}{19} \\ to\text{ isolate y, subtract 22 in both sides} \\ y+22-22=-\frac{11}{19}x+\frac{363}{19}-22 \\ y=-\frac{11}{19}x-\frac{55}{19}\rightarrow equation\text{ of the line} \end{gathered}$

now, we have the equation of the line, to get the x intercetp ( it is when y=0)

replace

$\begin{gathered} y=-\frac{11}{19}x-\frac{55}{19}\rightarrow equation\text{ of the line} \\ 0=-\frac{11}{19}x-\frac{55}{19} \\ \text{isolate x} \\ \frac{11}{19}x=-\frac{55}{19} \\ 11x=-\frac{55\cdot19}{19} \\ 11x=-55 \\ \text{divide both sides by 11} \\ \frac{11x}{11}=\frac{-55}{11} \\ x=-5 \end{gathered}$

so, the x intercetp is -5.

I hope this helps you

6 0

1 year ago

For every 2 red marbles there are 7 blue marbles in a bag of marbles. How many blue marbles would there be in a bag of 117 marbl

Degger [83]

<u>2 red marbles = x red marbles </u>
7 blue marbles = 117 blue marbles <<<PROPORTION
(total) (total)

<u>117x2 = 234 </u>
7 = 7 <<< = 33.42857143
here's a simpler way of writing that>>> 33.4 or 33

8 0

3 years ago

Read 2 more answers

Help me, please I need this

Alex17521 [72]

Answer:

B) y = -3x - 5

Hope this helps!

Please be kind to mark Brainliest.☺

7 0

4 years ago

Given that xy=3/2 and both x and y are nonnegative real numbers, find the minimum value of 10x (3y/5)

Stells [14]

The munimum value is, at x = 3/10, y = 5 and 10x+3y/5 = 6.

<h3>What are nonnegative real numbers?</h3>

Non-negative real numbers are the set of positive real numbers that are bigger than 0 (zero).
That is, the true values are either positive or negative.
The collection will include numbers such as 0, 1, 2, 3, 4, 5, and so on.

To find the minimum value of 10x (3y/5):

Given - y = 3/(2x)

So, we want the bare minimum of,

= 10x + 3/5 × 3/(2x)
= 10x + 9/(10x)

Take the derivative to obtain:

= 10 - 9/(10x^2)

When you set it to zero, you get:

= 100x^2 - 9 = 0
= (10x-3)(10x+3) = 0
= x = ± 3/10

So, at x = 3/10, y = 5 and 10x + 3y/5 = 3 + 3 = 6.

Therefore, the munimum value is, at x = 3/10, y = 5 and 10x+3y/5 = 6.

Know more about nonnegative real numbers here:

brainly.com/question/26606859

#SPJ4

5 0

2 years ago