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4 years ago

9

If a researcher wishes to determine whether there is evidence that the mean family income in the U.S. is greater than $30,000, t

hen:
A. a one-tailed test should be used, in which the region of rejection is in the left (lower tail)
B. a one-tailed test should be utilized, in which the region of rejection is in the right (upper tail)
C. a two-tailed test should be used either a one-tailed or a two-tailed test could be used

1 answer:

Doss [256]4 years ago

6 0

Answer:

B) a one-tailed test should be utilized, in which the region of rejection is in the right (upper tail)

Step-by-step explanation:

Explanation:-

<u>one tailed test:</u>-

A test of any statistical hypothesis where the alternative hypothesis is one tailed test(right tailed or left tailed) is called a one tailed test.

For example, In a test for testing the mean of a population in a single tailed test.

we assume that the null hypothesis H0:μ = μ0 against the alternative hypothesis.

H1:μ > μ0 (right tailed)

H1:μ < μ0 (left tailed) is called one tailed test.

<u>Two tailed test</u>:-

In a test of statistical hypothesis where the alternative hypothesis is two tailed test.

we assume that the null hypothesis H0:μ = μ0

Alternative hypothesis H1 :μ ≠ μ0 is called two tailed test.

Given data

There is evidence that the mean family income in the U.S. is greater than $30,000

<u>we will use right tailed test.</u>

<u>Null hypothesis</u> :- H0:μ = μ0

<u>Alternative hypothesis</u>:-H1 : μ> 30,000 (right tailed test)

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A ball is thrown vertically upward from the top of a building 64 feet tall with an initial velocity of 48 feet per second. The d

Klio2033 [76]

Answer:

a) t = 4 secs

b) t = 3 secs

Step-by-step explanation:

h = 64 ft

Initial velocity = 48 ft/s

S = 64 + 48t - 16t^2

a) Set S = 0 and solve for t

0 = 64 + 48t - 16t^2

Divide through by 16

0 = 4 + 3t - t^2

t^2 - 3t - 4 = 0

t^2 - 4t + t - 4 = 0

t(t - 4) + 1(t - 4) = 0

(t + 1) (t - 4) = 0

t + 1 = 0 or t - 4 = 0

t = -1 or t = 4

t = {-1,4}

t = 4 seconds

b) Set S = 64 and solve for t

64 = 64 + 48t - 16t^2

64 - 64 = 48t - 16t^2

0 = 48t - 16t^2

Divide through by 16

0 = 3t - t^2

t^2 - 3t = 0

t(t - 3) = 0

t = 0 or t-3 = 0

t = 0 or t = 3

t = {0,3}

t = 3 secs

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3 years ago

Is this triangle congruent?

Anettt [7]

Answer:

Yes

Step-by-step explanation:

Because both triangles are equal in legnth.

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3 years ago

The triangles are similar. what is the value of x ?

jonny [76]

$\dfrac{32}{4x+12}=\dfrac{8}{15}\\\\ \dfrac{8}{x+3}=\dfrac{8}{15}\\\\ x+3=15\\\\ x=12$

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3 years ago

Which lines are parellele

natali 33 [55]

Line 1 and Line 4 are parallel lines

Solution:

General equation of a line:

y = mx + c

where m is the slope and c is the y-intercept of the line.

<u>To find the slope of each line:</u>

Line 1: $y=-\frac{3}{4} x-6$

Slope $(m_1)=-\frac{3}{4}$

Line 2: $y-7=-4(x+9)$

$y-7=-4x-36$

Add 7 on both sides, we get

$y=-4x-29$

Slope $(m_2)=-4$

Line 3: $y=-2 x+6$

Slope $(m_3)=-2$

Line 4: $x+\frac{4}{3} y=-5$

Subtract x from both sides, we get

$\frac{4}{3} y=-x-5$

Multiply by $\frac{3}{4}$ on both sides, we get

$y=-\frac{3}{4}x-\frac{15}{4}$

Slope $(m_4)=-\frac{3}{4}$

<em>Two lines are parallel, if their slopes are equal.</em>

From the above slopes,

$m_1=m_4$

Therefore Line 1 and Line 4 are parallel lines.

3 0

3 years ago

The function g(x) = 2^x. The function f(x) = 2^x+k and k < 0. Which of the following statements is true? A) The graph of f(x)

aleksandrvk [35]

Answer:

Option D)

Step-by-step explanation:

If the graph of the function $f(x)=g(x+h) +b$ represents the transformations made to the graph of $y= g(x)$ then, by definition:

If $b> 0$ the graph moves vertically b units up

If $b$ the graph moves vertically b units down

If $h>0$ the graph moves horizontally h units to the left

If $h> 1$ the graph moves horizontally h units to the rigth

In this problem we have the function $f(x)=2^x+k$ and our parent function is $g(x) = 2^x$

therefore it is true that $b =k$ and $h= 0$

Then "The graph of f(x) is shifted k units below the graph of g(x)".

The answer is Option D)

_________________________________________________

<u><em>Note:</em></u>

If the function are:

$g(x) = 2^x\\\\f(x) = 2^{x+k}$

Then $k = h$ and $h$ . This means that the function f(x) shifts k units to the right of the function g(x)

And the answer would be the option B)

3 0

3 years ago

Read 2 more answers