It’s on the picture .

A sample of 1800 computer chips revealed that 53% of the chips do not fail in the first 1000 hours of their use. The company's p

charle [14.2K]

Answer:

So the value of the test statistic is -0.85.

Step-by-step explanation:

We know that a sample of 1800 computer chips revealed that 53% of the chips do not fail in the first 1000 hours of their use. The company's promotional literature states that 54% of the chips do not fail in the first 1000 hours of their use.

We get that:

$n=1800\\\\p_1=53\%=0.53\\\\p_2=54\%=0.54\\$

We calculate the standar deviation:

$\sigma=\sqrt{\frac{0.53 \cdot (1-0.53)}{n}}=\sqrt{\frac{0.53 \cdot 0.47}{1800}}=0.01176$

We calculate the value of the test statistic:

$z=\frac{p_1-p_2}{\sigma}=\frac{0.53-0.54}{0.01176}=-0.85$

So the value of the test statistic is -0.85.

5 0

3 years ago

Write the given differential equation in the form L(y) = g(x), where L is a linear differential operator with constant coefficie

melamori03 [73]

Answer:

The complete solution is

$\therefore y= Ae^{3x}+Be^{-\frac13 x}-\frac43$

Step-by-step explanation:

Given differential equation is

3y"- 8y' - 3y =4

The trial solution is

$y = e^{mx}$

Differentiating with respect to x

$y'= me^{mx}$

Again differentiating with respect to x

$y''= m ^2 e^{mx}$

Putting the value of y, y' and y'' in left side of the differential equation

$3m^2e^{mx}-8m e^{mx}- 3e^{mx}=0$

$\Rightarrow 3m^2-8m-3=0$

The auxiliary equation is

$3m^2-8m-3=0$

$\Rightarrow 3m^2 -9m+m-3m=0$

$\Rightarrow 3m(m-3)+1(m-3)=0$

$\Rightarrow (3m+1)(m-3)=0$

$\Rightarrow m = 3, -\frac13$

The complementary function is

$y= Ae^{3x}+Be^{-\frac13 x}$

y''= D², y' = D

The given differential equation is

(3D²-8D-3D)y =4

⇒(3D+1)(D-3)y =4

Since the linear operation is

L(D) ≡ (3D+1)(D-3)

For particular integral

$y_p=\frac 1{(3D+1)(D-3)} .4$

$=4.\frac 1{(3D+1)(D-3)} .e^{0.x}$ [since $e^{0.x}=1$ ]

$=4\frac{1}{(3.0+1)(0-3)}$ [ replace D by 0 , since L(0)≠0]

$=-\frac43$

The complete solution is

y= C.F+P.I

$\therefore y= Ae^{3x}+Be^{-\frac13 x}-\frac43$

4 0

2 years ago

A theater sold a total of 570 tickets for a new movie. Of those tickets, 30% were children's tickets. How many children's ticket

professor190 [17]

According to my calculations the 30% of 570 is 171

10% of 570 is 57

times that by 3 and you get 171

7 0

3 years ago

Read 2 more answers

The results of a series of surveys revealed a population with a mean of 4.73 and a standard deviation of 0.865. If each survey h

satela [25.4K]

The given sample's confidence interval is 4.73 ± 0.1199, or from 4.61 to 4.85

<h3>What is the z score?</h3>

The z-score is a numerical assessment of a value's connection to the mean of a set of values, expressed in terms of standards from the mean, that is used in statistics.

Given data;

Mean = 4.73

Standard deviation = 0.865

Sample size = 200

interval = 95%

Confidence interval=?

95% of samples contain the population mean (μ) within the confidence interval of 4.73 ± 0.1199.

Hence, the sample's confidence interval is 4.73 ± 0.1199, from 4.61 to 4.85

To learn more about the Z score, refer to;

brainly.com/question/15016913

#SPJ1

4 0

2 years ago

Solve for the variable: -8f > 56

kolbaska11 [484]

Hi there....

-8f > 56
Divide both sides by -8
-8f/-8 > 56/-8
f < -7

The correct option is : B

6 0

2 years ago