What is 72635272727262526 x 28262526161718 x 1.600082 x 8162525151515167475803816

A survey was conducted that asked 1003 people how many books they had read in the past year. Results indicated that x overbar eq

Sergio [31]

Answer:

The 99% confidence interval would be given (11.448;14.152).

Step-by-step explanation:

1) Important concepts and notation

A confidence interval for a mean "gives us a range of plausible values for the population mean. If a confidence interval does not include a particular value, we can say that it is not likely that the particular value is the true population mean"

$s=16.6$ represent the sample deviation

$\bar X=12.8$ represent the sample mean

n =1003 is the sample size selected

Confidence =99% or 0.99

$\alpha=1-0.99=0.01$ represent the significance level.

2) Solution to the problem

The confidence interval for the mean would be given by this formula

$\bar X \pm z_{\alpha/2} \frac{s}{\sqrt{n}}$

We can use a z quantile instead of t since the sample size is large enough.

For the 99% confidence interval the value of $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=2.58$

And replacing into the confidence interval formula we got:

$12.8 - 2.58 \frac{16.6}{\sqrt{1003}}=11.448$

$12.8 + 2.58 \frac{16.6}{\sqrt{1003}} =14.152$

And the 99% confidence interval would be given (11.448;14.152).

We are confident that about 11 to 14 are the number of books that the people had read on the last year on average, at 1% of significance.

3 0

3 years ago

The diagram shows a vertical tower DC on a horizontal ground ABC.

sasho [114]

The measure of ABD=180°- 54°=26°
and then the measure of ADB= x
and x + 26° + 28°= 180°, sum of anlgle in a triagle property
it means x= 180°- 26-28=126°
application of sinus law in the triangle

sin 28 / BD = sin 126/ AD = sin 26/ 25 so we can deduce that

AD= 25sin126 / sin26= 46.12
let 's consider the triangle ADC, so for finding h, we have sin 28 = h / AD
and then h = AD x sin28=21.65

<span>Calculate the height of the tower is 21.65</span>

6 0

3 years ago

Write the expression as a square of a monomial.

frozen [14]

Answer:

The square of a monomial is $(9x^2)^2$

Step-by-step explanation:

Consider the provided monomial.

$81x^4$

We need to Write the expression as a square of a monomial.

The above expression can be written as:

$9\times 9\times x^2\times x^2$

$9^2(x^2)^2$

$(9x^2)^2$

Hence, the square of a monomial is $(9x^2)^2$

8 0

3 years ago

A student uses a solution that contains 16 grams of water to conduct an evaporation experiment. At the end of one hour, the am

yanalaym [24]

Answer:

3.5% decrease means 96.5% remaining

0.965(16)

4.25% decrease means 95.75% remaining

0.9575(0.965(16))

= 14.7838 grams

5 0

3 years ago

Read 2 more answers

Which transformation maps the pre-image, DEFG, to the image, D'E'F'G'?

netineya [11]

The answer is letter B. The image shows a relection because it is just the same as the original. Reflection is a transformation that gets the 2nd image just the same as the original. The transformation of DEFG is just the same as D'E'F'G'.

4 0

3 years ago

Read 2 more answers