Find 3 different ratios that are equivalent to 7:3.<br><br> Explain why these ratios are equivalent.

The proportion of junior executives leaving large manufacturing companies within three years is to be estimated within 3 percent

Leona [35]

Answer: 709

Step-by-step explanation:

The formulas we use to find the required sample size :-

1. $n=(\dfrac{z^*\cdot \sigma}{E})^2$

, where $\sigma$ = population standard deviation,

E = Margin of error .

z* = Critical value

2. $n=p(1-p)(\dfrac{z^*}{E})^2$ , where p= prior estimate of population proportion.

3. If prior estimate of population proportion is unavailable , then we take p= 0.5 and the formula becomes

$n=0.25(\dfrac{z^*}{E})^2$

Given : Margin of error : E= 3% =0.03

Critical value for 95% confidence interval = z*= 1.96

A study conducted several years ago revealed that the percent of junior executives leaving within three years was 21%.

i.e. p=0.21

Then by formula 2., the required sample size will be :

$n=0.21(1-0.21)(\dfrac{1.96}{0.03})^2$

$n=0.21(0.79)(65.3333)^2$

$n=(0.1659)(4268.44008889)\\\\ n=708.134933333\approx709$ [Round to the next integer.]

Hence, the required sample size of junior executives should be studied = 709

4 0

3 years ago

Normal Distribution Problem. Porphyrin is a pigment in blood protoplasm and other body fluids that is significant in body energy

GarryVolchara [31]

Answer: a) 0.9332, b) 0.8944

Step-by-step explanation: the probability value attached to a z score is gotten by using a z distribution table.

The z score is gotten by making use of the formulae below

Z = x - u / σ

Where x = sample mean, u = population mean and σ = population standard deviation.

a)

For our question, u = 38, σ = 12, we are to look for the z score at z ≤ 56, that's x = 56

By substituting the parameters, we have that

z ≤ 56 = 56 - 38/ 12

z ≤ 56 = 18/12

z ≤ 56 = 1.5

To get the probabilistic value, we check the normal distribution table.

The table I'm using will be giving me probabilistic value towards the left of the area.

From the table, p ( z ≤ 56) = 0.9332.

b)

Z >23 = 23 - 38/ 12

Z >23 = - 15/ 12

Z >23 = - 1.25

The probability value of this z score is towards the right of the distribution but the table I'm using is only giving probability values towards the left.

Hence Z >23 = 1 - Z<23

From the table, Z<23 = 0.1056.

Z >23 = 1 - 0.1056

Z >23 = 0.8944

4 0

2 years ago

Read 2 more answers

A furry has 3877 UwU masks and wants to share them equally upon her 36 Furry Friends how many masks will The Furry have Left?

lana66690 [7]

Answer:

25

Step-by-step explanation:

3877 divided by 36 is 107.69. That means each person could get 107 masks (always round down in these problems)

36 time 107 is 3852, and 3877 minus 3852 is 25. This is how many will be left over.

4 0

2 years ago

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A large bottle of Sharkleberry Finn juice contains 600 milliliters of juice. A medium bottle contains 70% as much juice as the l

12345 [234]

Answer:

dss

Step-by-step explanation:

sds

sd

s

ds

d

as

d

7 0

3 years ago

18 take away negative 10 is wha

Ilya [14]

18--10=
the two negative signs make a plus so you simply have 18 + 10 which is 28

3 0

3 years ago

Read 2 more answers

Find 3 different ratios that are equivalent to 7:3. Explain why these ratios are equivalent.