How to solve this equation

From a random sample of 58 businesses, it is found that the mean time the owner spends on administrative issues each week is 21.

zzz [600]

Answer: (20.86, 22.52)

Step-by-step explanation:

Formula to find the confidence interval for population mean :-

$\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}$

, where $\overline{x}$ = sample mean.

z*= critical z-value

n= sample size.

$\sigma$ = Population standard deviation.

By considering the given question , we have

$\overline{x}= 21.69$

$\sigma=3.23$

n= 58

Using z-table, the critical z-value for 95% confidence = z* = 1.96

Then, 95% confidence interval for the amount of time spent on administrative issues will be :

$21.69\pm (1.96)\dfrac{3.23}{\sqrt{58}}$

$=21.69\pm (1.96)\dfrac{1.7}{7.61577}$

$=21.69\pm (1.96)(0.223221)$

$\approx21.69\pm0.83$

$=(21.69-0.83,\ 21.69+0.83)=(20.86,\ 22.52)$

Hence, the 95% confidence interval for the amount of time spent on administrative issues = (20.86, 22.52)

7 0

3 years ago

There are slips of paper that are numbered from 1 to 15 in a hat. What is the theoretical probability that a slip of paper that

lesya [120]

Okay! Let's write out all the numbers:

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

Now, let's bold (or you can circle them... or do really anything to them as long as they are standing out to you) the even numbers (remember all even numbers are divisible by 2)

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

Now let's list all the ones we highlighted:

2

4

6

8

10

12

14

Count up how many numbers that is.

You should get 7.

So, our answer is 7 out of 15 numbers.

Or as a fraction:

7/15 is our answer.

Note: A probability is the number of chances something has to happen out of the total number of chances. So in this case the number of even numbers out of the total number of numbers. You can apply this to any probability problem. Hope this helps!

Read more on Brainly.com - brainly.com/question/2150566#readmore

5 0

3 years ago

Read 2 more answers

Y = -x + 2<br> slope =<br> y-intercept=

yan [13]

Answer:

Slope = - 1

y-intercept = 2

Step-by-step explanation:

$y = - x + 2 \\ equating \: it \: with \\ y = mx + b \\ slope \: (m) = - 1 \\ y - intercept \: (b) = 2$