Cual es resultado de -(3-5)

Because of safety considerations, in May 2003 the Federal Aviation Administration (FAA) changed its guidelines for how small com

Ymorist [56]

Answer:

a) $183-1.984\frac{20}{\sqrt{100}}=179.032$

$183+1.984\frac{20}{\sqrt{100}}=186.968$

So on this case the 95% confidence interval would be given by (179.032;186.968)

b) $190-1.984\frac{23}{\sqrt{100}}=185.437$

$190+1.984\frac{23}{\sqrt{100}}=194.563$

So on this case the 95% confidence interval would be given by (185.437;194.563)

c) For Summer the confidence interval was (179.032;186.968) and as we can see our upper limit is <190 so then we can conclude that they are below the specification of 190 at 5% of significance

For Winter the confidence interval was (185.437;194.563) and again the upper limit is <190 so then we can conclude that they are below the specification of 195 at 5% of significance

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Part a : Summer

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=100-1=99$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,99)".And we see that $t_{\alpha/2}=1.984$

Now we have everything in order to replace into formula (1):

$183-1.984\frac{20}{\sqrt{100}}=179.032$

$183+1.984\frac{20}{\sqrt{100}}=186.968$

So on this case the 95% confidence interval would be given by (179.032;186.968)

Part b: Winter

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=100-1=99$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,99)".And we see that $t_{\alpha/2}=1.984$

Now we have everything in order to replace into formula (1):

$190-1.984\frac{23}{\sqrt{100}}=185.437$

$190+1.984\frac{23}{\sqrt{100}}=194.563$

So on this case the 95% confidence interval would be given by (185.437;194.563)

Part c

For Summer the confidence interval was (179.032;186.968) and as we can see our upper limit is <190 so then we can conclude that they are below the specification of 190 at 5% of significance

For Winter the confidence interval was (185.437;194.563) and again the upper limit is <190 so then we can conclude that they are below the specification of 195 at 5% of significance

5 0

3 years ago

Hiro thinks -5 = -5 is hiro thinking correct

stiv31 [10]

Yes because -5 does equal -5

4 0

3 years ago

Lusa sells stuffed animals. She sells a stuffed elephant for $34.90, and the sales tax is 9% of the sale price About how much

viktelen [127]

Answer:

3.14

Step-by-step explanation:

8 0

3 years ago

Find the perimeter of triangle ABC, with coordinates A(-3, 0), B(0, 4), and C(3, 0).

madreJ [45]

The perimeter is the sum of the lengths of all sides.
Find the lengths of the sides using the distance formula:
$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\ \\ \\
A=(-3,0), B=(0,4), C=(3,0) \\ \\
|AB|=\sqrt{(0-(-3))^2+(4-0)^2}=\sqrt{3^2+4^2}=\sqrt{9+16}=\sqrt{25}=5 \\ \\
|AC|=\sqrt{(3-(-3))^2+(0-0)^2}=\sqrt{6^2+0^2}=\sqrt{6^2}=6 \\ \\
|BC|=\sqrt{(3-0)^2+(0-4)^2}=\sqrt{3^2+(-4)^2}=\sqrt{9+16}=\sqrt{25}=5 \\ \\
P=|AB|+|AC|+|BC|=5+6+5=16$

The answer is c. 16.

6 0

4 years ago

Read 2 more answers

Which of the following is an equivalent form of the compound inequality −22 > −5x − 7 ≥ −3? (1 point) Select one: a. −5x − 7

ziro4ka [17]

-22 > -5x - 7 > = -3

equivalent one is :
a. -5x - 7 < -22 and -5x - 7 > = -3

3 0

3 years ago

Read 2 more answers