# A proposed null hypothesis states that there is no difference in the population mean heights of two neighboring districts. The difference of the sample means is 10 cm, and the standard deviation of the difference of sample means is 6 cm. Which conclusion can we draw at the 68% confidence level?

Explained

Step-by-step explanation:

Null hypothesis is something that states that there is no difference between the population means, while the alternative hypothesis states that there is difference between the two.

So, If the difference of the sample means is 10cm, and the standard deviation of the difference of sample means is 6 cm. Then  the population means of the two districts will be different according to the manual solution.

## Related Questions

Which of the following is the slope and y-intercept of the graph -y= -0.9x + 4 ?

Step-by-step explanation:

slope =  0.9, y- intercept = - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange - y = - 0.9x + 4 into this form

Multiply through by - 1

y = 0.9x - 4 ← in slope- intercept form

with slope m = 0.9 and y- intercept c = - 4

How many times is 0.02 contained in 80

Step-by-step explanation: ok so for this one we are seeing how many times 0.02 goes into 80 0.02*50=1 so then we would 50* 80 and get our answer of 4,000 hope this helped

Two of the greatest Greek mathematics were Archimedes (287-212 B.C) and Pythagoras (569-500 BC). A. Express the year of Archimedes'birth as a negative number
B.Express the year of Pythagoras' birth as a negative number.
C. How many years apart were they born? My answers was as followed and it was wrong A.-75 B.-69 C.6

The years apart that they were born is 282

How to express their years as a negative number?

Archimedes' birth year

We have the year range to be:

(287-212 B.C)

In the above years, the year of birth is:

287

As a negative number, we have;

-(-287)

Hence, Archimedes'birth as a negative number is -(-287)

Pythagoras' birth year

We have the year range to be:

(569-500 BC).

In the above years, the year of birth is:

569

As a negative number, we have;

-(-569)

Hence, Pythagoras 'birth as a negative number is -(-287)

The years apart that they were born

This is the difference between their birth years.

So, we have:

Years = -(-569) - -(-287)

Evaluate

Years = 282

Hence, the years apart that they were born is 282

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Archimedes (287-212 B.C)  -->  - 287  birth year

Pythagoras (569-500 BC) --->  - 569  birth year

569 - 287 = 282 as years apart of their birth years

Suppose there is a strong positive correlation between v and w which of the following must be true ?
A.)when V increases, w tends to increase
B.)An increase in a V causes W to decrease
C.)An increase in V causes W to increase
D.)When V increases, W tends to decrease

The truth is when V increases, W tends to increase. Positive correlation between two variables in which both variables move in tandem. Positive correlation exists when one variable decreases as the other also decreases or one variable increases while others increase too.

Answer: A.) when V increases, w tends to increase

Step-by-step explanation:

Positive correlation is a relationship between two variables in which both variables move with the same ratio. A positive correlation exists when one variable increases as the other variable increases, or vice-versa.

A perfect positive correlation means that both variables move by the exact same percentage.

Therefore, if there is a strong positive correlation between v and w then when V increases, w tends to increase .

Kaitlyn tony and juan served a total of 71 orders Monday at the school cafeteria. Toney served 9 fewer orders than kaitlin. Juan served 2 times as many orders as kaitlin. How many orders did each serve

Kaitlin served 20 orders, Juan served 40 orders and Tony served 11 orders on Monday at the school cafeteria.

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Total of orders server at the school cafeteria by Kaitlin, Tony and Juan = 71

Tony served 9 orders fewer than Kaitlin

Juan served 2 times as many orders as Kaitlin

2. How many orders did each one serve?

For answering this question, we should prepare and write down our equation this way:

x = Number of orders served by Kaitlin

2x = Number of order served by Juan ( 2 times as many orders as Kaitlin)

x - 9 = Number of order served by Tony (9 orders fewer than Kaitlin)

x + 2x + x - 9 = 71

4x = 71 + 9

4x = 80

x = 80/4 = 20

x = 20 ⇒ 2x = 40 ⇒ x - 9 = 11

Kaitlin served 20 orders, Juan served 40 orders and Tony served 11 orders on Monday at the school cafeteria.

In gfc factor 24-9 and 14x+63

REMEMBER GFC ALSO THANK YOUUUUUUUU

7(2x+9)

3(8-3)

Step-by-step explanation:

14x+63

We can factor out a 7

7(2x+9)

24-9

We can factor out a 3

3(8-3)

Pizza Palace cuts a medium pizza into 8 slices. The same size pizza at pizza pioneers is cut nit 16 slices. Jasmine ate 4 slices of a medium pizza from pizza pioneers. What fraction of the pizza from pizza palace is equal to 4/16?

2/8 is the same as 4/16
2/8 of the pizza from Pizza Palace.

Katie is 3 years older than her brother the sum of their ages is no more than 31 what write an inequality that can be used to represent the situation with extra represents K's brother age do not combine like terms

Let his brother's age

Then Katie's age

The inequality is

Which of the following points lies on the line 3y=2x-1