What is the relationship between two horizontal line

(Small sample confidence intervals for a population mean) suppose you are taking a sampling of 15 measurements. you find that x=

Luda [366]

Answer:

The 99% confidence interval is $71.67 < \mu < 78.33$

Step-by-step explanation:

From the question we are told that

The sample size is $n = 15$

The sample mean is $\= x = 75$

The standard deviation is $s = 5$

Given that confidence is 99% then the level of significance is mathematically represented as

$\alpha = 100 - 99$

$\alpha = 1\%$

$\alpha = 0.01$

Next we obtain the critical values of $\frac{ \alpha }{2}$ from the normal distribution table

The value is

$Z_{\frac{ \alpha }{2} } = 2.58$

Generally the margin for error is mathematically represented as

$E = Z_{\frac{ \alpha }{2} } * \frac{ s}{ \sqrt{n} }$

=> $E = 2.58 * \frac{ 5}{ \sqrt{15} }$

=> $E = 3.3307$

The 99% confidence interval is mathematically represented as

$\= x -E < \mu < \= x +E$

=> $75 - 3.3307 < \mu$

=> $71.67 < \mu < 78.33$

3 0

3 years ago

00:00

masya89 [10]

Answer:

Part A = the middle one

Part B = 4 days

Step-by-step explanation:

1,300 / 4 = 325

325 x 4 = 1,300

8 0

3 years ago

Read 2 more answers

A father is 28 years older than his son. in 8 years time he will be 3 times as old as his son. how old is the father now?

mariarad [96]

Answer:

34 years

Step-by-step explanation:

f = s + 28 Eq. 1

f+8 = 3(s+8) Eq. 2

f = father age

s = son age

replacing Eq. 1 on Eq. 2

(s+28) + 8 = 3(s+8)

s + 36 = 3*s + 3*8

s + 36 = 3s + 24

36 - 24 = 3s - s

12 = 2s

12/2 = s

s = 6

from the Eq. 1

f = 6 + 28

f = 34

Check

from the Eq. 2

34+8 = 3(6+8)

42 = 3*14

6 0

2 years ago

What is H in the algebraic expression H+340÷30=25

disa [49]

Answer:

H = 13.67

Step-by-step explanation:

Given:

The the algebraic expression is

$H + \frac{340}{30} = 25$

We need to write the above equation for h.

Solution:

$H + \frac{340}{30} = 25$

First we divide the fraction part of the equation by common factor 10.

$H + \frac{34}{3} = 25$

Subtract both side of the equation by $\frac{34}{3}$ .

$H + \frac{34}{3}-\frac{34}{3} = 25- \frac{34}{3}$

$H = 25- \frac{34}{3}$

To write 25 as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$H = 25\times \frac{3}{3}- \frac{34}{3}$

$H = \frac{25\times3}{3}- \frac{34}{3}$

$H = \frac{75}{3}- \frac{34}{3}$

$H = \frac{75-34}{3}$

$H = \frac{41}{3}$

$H = 13.67$

Therefore the value of H is 13.67.

7 0

3 years ago

Complete the proof.....

Zigmanuir [339]

Answer:

Step-by-step explanation:

From the given attachment to the question, the following can be deduced.

1. M is the midpoint of GH, given that M is the definition of midpoint.

2. GM ≅ MH, given that x = 2. So that,

GM = 5x = 5(2)

= 10

MH = 3x + 4 = 3(2) + 4

= 10

Thus, GM ≅ MH

3. GM = MH is the definition of congruence. This implies that they are similar.

4. 5x = 3x + 4, by substitution property of equality.

Since, x = 2 then;

5(2) = 3(2) + 4

10 - 10

5. 2x = 4, given that x = 2.

6. GH = GM + MH, by division property of equality.

3 0

3 years ago