Write the following as algebraic expressions:

Oishi and Schimmack (2010) report that people who move from home to home frequently as children tend to have lower than average

user100 [1]

Answer:

The well-being for frequent movers is significantly different from well-being in the general population. ( Alternate Hypothesis accepted )

cohen's d = -0.91 , ( Large Effect )

Step-by-step explanation:

Given:-

- A sample of size n = 12

- The population mean u_p = 40

- The sample was taken as:

38, 37, 41, 35, 42, 40, 33, 33, 36, 38, 32, 39

Find:-

On the basis of this sample, is well-being for frequent movers significantly different from well-being in the general population? Use a two-tailed test with α = 0.05.

Solution:-

- State the hypothesis for sample mean u_s is same as population mean u_p.

Null Hypothesis: u_s = 40

Alternate Hypothesis: u_s ≠ 40

- The rejection criteria for the Null hypothesis can be modeled by T-value ( n < 30 ) with significance level α = 0.05.

DOF = n - 1 = 12 - 1 = 11

Significance level α = 0.05

t_α/2 = t_0.025 = +/- 2.201

- For the statistic value we have to compute sample mean u_s given by:

u_s = Σ xi / n

u_s = (38 + 37 + 41 + 35 + 42 + 40 + 33 + 33 + 36 + 38 + 32 + 39) / 12

u_s = 37

- For the statistic value we need population standard deviation S_p given by:

S_p = S_s / √n

Where, S_s : Sample standard deviation.

S_s^2 = Σ (xi - u_s)^2 / (n-1)

=[ 2*(38-37)^2 + (37-37)^2 + (41-37)^2 + (35-37)^2 + (42-37)^2 + (40-37)^2 + 2*(33-37)^2 + (36-37)^2 + (32-37)^2 + (39-37)^2 ] / ( 11 )

S_s^2 = [ 2 + 0 + 16 + 4 + 25 + 9 + 32 + 1 + 25 + 4 ] / 11

S_s^2 = 10.73

S_s = 3.28

The population standard deviation ( S_p ) is:

S_p = 3.28 / √12

S_p = 0.95

- The T-statistics value is computed as follows:

t = ( u_s - u_p ) / S_p

t = ( 37 - 40 ) / 0.95 = -3.16

- Compare the T-statistics (t) with rejection criteria (t_α/2).

-3.16 < -2.201

t < t_α/2 ...... Reject Null Hypothesis.

- The well-being for frequent movers is significantly different from well-being in the general population. ( Alternate Hypothesis accepted )

- The cohen's d is calculated as follows:

cohen's d = ( u_s - u_p ) / S_s

cohen's d = ( 37 - 40 ) / 3.28 = -0.91 , ( Large Effect )

5 0

1 year ago

Right angle FCD intersects Line A B and Ray C E at point C. AngleFCE is congruent to AngleECD. AngleECD is complementary to Angl

AlexFokin [52]

Answer:

A: They are congruent and complementary.

Step-by-step explanation:

Just took the test hope this helps :D

5 0

1 year ago

Read 2 more answers

Let f(x)=−3x. The graph of f(x) is transformed into the graph of g(x) by a vertical stretch of 4 units and a translation of 4 u

deff fn [24]

<h2>Answer:</h2>

Ques 1)

$g(x)=-12x+48$

Ques 2)

$g(x)=|3x|+4$

<h2>Step-by-step explanation:</h2>

Ques 1)

We know that if a graph is stretched by a factor of a then the transformation if given by:

f(x) → a f(x)

Also, we know that the translation of a function k units to the right or to the left is given by:

f(x) → f(x+k)

where if k>0 then the shift is k units to the left

and if k<0 then the shift is k units to the right.

Here the graph of f(x) is transformed into the graph of g(x) by a vertical stretch of 4 units and a translation of 4 units right.

This means that the function g(x) is given by:

$g(x)=4f(x-4)\\\\i.e.\\\\g(x)=4(-3(x-4))\\\\i.e.\\\\g(x)=-12(x-4)\\\\i.e.\\\\g(x)=-12x+48$

Ques 2)

We know that the transformation of the type:

f(x) → f(x)+k

is a shift or translation of the function k units up or down depending on k.

If k>0 then the shift is k units up.

and if k<0 then the shift is k units down.

Here, The graph of the function f(x)=|3x| is translated 4 units up.

This means that the transformed function g(x) is given by:

$g(x)=|3x|+4$

4 0

1 year ago

Given f(x)=x^2+12x+26 .

lapo4ka [179]

f(x)=x^2+12x+26

Vertex form of f(x) = a(x-h)^2 +k

We change f(x) into vertex form using completing the square method

$f(x)=x^2+12x+26$

We take half of square of middle term

middle term is 12

Half of square of 12 is $\frac{12}{2}=6$ then 6^2 = 36

Add and subtract 36 to complete the square

$f(x)=(x^2+12x+36)+26-36$

$f(x)= (x+6)^2 +26 - 36 f(x)= (x+6)^2 -10$

The vertex form $f(x)= (x+6)^2 -10$

6 0

1 year ago

Lyman Company returned $750 of goods it had purchased from another company. The original invoice was for $4,200, 3/10, n/30. Wha

Scilla [17]

Calculation:
<span>3/10 </span><span><span> 3---------></span>3% discount</span><span><span>
10--------></span>the days in the discount period, the company has 10 days to pay the bill in full.</span>

Therefore

Lyman pays the balance within the discount period

($4,200 – $750) x .03 = $103.50

the discount is <span>$103.50</span>

4 0

1 year ago