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3 years ago

Which inequality would represent [-2 infinity]

Mathematics

1 answer:

serious [3.7K]3 years ago

3 0

Tbh ion even kno this shii

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A researcher claims that the variation in the salaries of elementary school teachers is greater than the variation in the salari

guajiro [1.7K]

Answer:

The null hypothesis is $H_o : \sigma^2_1 = \sigma^2 _2$

The alternative hypothesis is $H_a : \sigma_1 ^2 > \sigma^2_2$

$F_{critical} = 1.8608$

$F = 2.9085$

The decision rule is

Reject the null hypothesis

There is sufficient evidence to support the researchers claim

Step-by-step explanation:

From the question we are told that

The first sample size is $n_1 = 30$

The sample variance for elementary school is $s^2_1 = 8324$

The second sample size is $n_2 = 30$

The sample variance for the secondary school is $s^2_2 = 2862$

The significance level is $\alpha = 0.05$

The null hypothesis is $H_o : \sigma^2_1 = \sigma^2 _2$

The alternative hypothesis is $H_a : \sigma_1 ^2 > \sigma^2_2$

Generally from the F statistics table the critical value of $\alpha = 0.05$ at first and second degree of freedom $df_1 = n_1 - 1 = 30 - 1 = 29$ and $df_2 = n_2 - 1 = 30 - 1 = 29$ is

$F_{critical} = 1.8608$

Generally the test statistics is mathematically represented as

$F = \frac{s_1^2 }{s_2^2}$

=> $F = \frac{8324 }{2862}$

=> $F = 2.9085$

Generally from the value obtained we see that $F > F_{critical }$ Hence

The decision rule is

Reject the null hypothesis

The conclusion is

There is sufficient evidence to support the researchers claim

4 0

3 years ago

Mattttttthhhhhhhhhhhhhh , i need help

ale4655 [162]

The slope-point formula:

$y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

We have (0, 3) and (-10, 4)

Substitute:

$m=\dfrac{4-3}{-10-0}=\dfrac{1}{-10}\\\\y-3=-\dfrac{1}{10}(x-0)\qquad|\text{add 3 to both sides}\\\\y=-\dfrac{1}{10}x+3\to\boxed{A.}$

3 0

3 years ago

The length of a rectangle is 3 feet less than twice the width of the rectangle. If the perimeter of the rectangle is 264 feet, f

Digiron [165]

L = 2w - 3

p = 264

2(L + w) = p

2(2w - 3 + w) = 264

2(3w - 3) = 264

6w - 6 = 264

6w = 270

w = 270/6

w = 90/2

w = 45

L = 2w - 3

L = 2(45) - 3

L = 90 - 3

L = 87

The length is 87ft, and the width is 45ft

7 0

3 years ago

Read 2 more answers

Describe a real world situation that can be represented by the product 8(-20)

Semmy [17]

Write a situation that could be modeled with the expression below.

<span>45 divided by 3 minus 2 times 4</span>

8 0

3 years ago

How many times does 1/4 go into 3??

nirvana33 [79]

Your answer is <span>0.75 i hope I helped!</span>

4 0

3 years ago