HELP!! THIS TEST WORTH 36 POINTS!!! WILL MARK BRAINLEIST!!!!

A survey of 35 individuals who passed the seven exams and obtained the rank of Fellow in the actuarial field finds the average s

arsen [322]

Answer:

$150000-2.032\frac{15000}{\sqrt{35}}=144847.94$

$150000+2.032\frac{15000}{\sqrt{35}}=155152.06$

So on this case the 95% confidence interval would be given by (144847.94;155152.06)

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".

$\bar X=150000$ represent the sample mean

$\mu$ population mean (variable of interest)

s=15000 represent the sample standard deviation

n=35 represent the sample size

Solution to the problem

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:

$df=n-1=35-1=34$

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(0.025,34)".And we see that $t_{\alpha/2}=2.032$

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

$150000-2.032\frac{15000}{\sqrt{35}}=144847.94$

$150000+2.032\frac{15000}{\sqrt{35}}=155152.06$

So on this case the 95% confidence interval would be given by (144847.94;155152.06)

3 0

4 years ago

WILL MARK BRAINLIEST

oksano4ka [1.4K]

Answer:

30

Step-by-step explanation:

60(highest) - 30(lowest) = 30(range)

3 0

3 years ago

Please help<br><br><br> hggggggggggh

Luba_88 [7]

Answer:

The first blank is: 26

The second blank is: 17

The third blank is: 31 - n

Step-by-step explanation:

So basically each row should add up to 31. So for every number they give you (doesn't matter which color ball), you need to subtract it from 31.

That's why for the first blank, 31 - 5 is 26

second blank, 31 - 14 is 17

and so on....

so the resulting function would be 31 - n

n being a random number that is given to you

8 0

3 years ago

810 is 1.8% of what number?

Brums [2.3K]

45,000 is the answer

3 0

3 years ago

in mr carrs math class, 9 of the 14 said they like math , and 7 of the 16 boys said they like math . if miss carr randomly a sel

erma4kov [3.2K]

For the 1st fraction, since 14 × 1 = 14,

9

14

=

9 × 1

14 × 1

=

9

14

Likewise, for the 2nd fraction, since 7 × 2 = 14,

6

7

=

6 × 2

7 × 2

=

12

14

Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction

9

14

<

12

14

or

9

14

<

6

7

3 0

3 years ago

HELP!! THIS TEST WORTH 36 POINTS!!! WILL MARK BRAINLE﻿IST!!!!

HELP!! THIS TEST WORTH 36 POINTS!!! WILL MARK BRAINLEIST!!!!