The average size of a new house built in a Hays county in 2010 was 1,872 square feet. A random sample of 40 new homes built in Hays County were selected in 2014. The average square footage was 2,031 with a standard deviation of 373 square feet. Does this sample provide enough evidence to conclude that the average house size has increased in the Hays County since 2010? Test at an alpha level of 0.05. Find the test statistic.

Answers

Answer 1

Answer:

The test statistic is z = 2.7.

The pvalue of the test is 0.0035 < 0.05, which means that this sample provides enough evidence to conclude that the average house size has increased in the Hays County since 2010.

Step-by-step explanation:

The average size of a new house built in a Hays county in 2010 was 1,872 square feet. Evidence that it has increased?

This means that the null hypothesis is:

[tex]H_0: \mu = 1872[/tex]

And the alternate hypothesis is:

[tex]H_a: \mu > 1872[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

1872 is tested at the null hypothesis:

This means that [tex]\mu = 1872[/tex]

Sample of 40. The average square footage was 2,031 with a standard deviation of 373 square feet.

This means that [tex]n = 40, X = 2031, \sigma = 373[/tex]

Value of the test-statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{2031 - 1872}{\frac{373}{\sqrt{40}}}[/tex]

[tex]z = 2.7[/tex]

Pvalue and decision:

The pvalue of the test is the probability of finding a sample mean above 2031. This is 1 subtracted by the pvalue of z = 2.7.

Looking at the z-table, z = 2.7 has a pvalue of 0.9965

1 - 0.9965 = 0.0035

The pvalue of the test is 0.0035 < 0.05, which means that this sample provides enough evidence to conclude that the average house size has increased in the Hays County since 2010.


Related Questions

What is the volume of a figure with that is 2 inches wide, 7 inches tall and 9 inches
Pls help

Answers

Answer:

126

Step-by-step explanation:

What is the volume of a figure with that is 2 inches wide, 7 inches tall and 9 inchesn = Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.    

2x7x9 = 126

Answer:

126 inches³

Step-by-step explanation:

The volume of a figure is l×w×h.

So,

9 × 2 × 7 = 126

17. Find the ratio of the perimeter to the area of the square shown.
x + 3
x + 3

Answers

Answer:

4x+12/x^2+9

Step-by-step explanation:

Perimeter

x+3+x+3+x+3+x+3

Area

(x+3)(x+3)

Thank u guys for helping me out but please I need help

Answers

Answer:

integers

Step-by-step explanation:

Integers include positive and negative including 0, but not including fractions or decimals

Answer:

Integers because:

Whole doesn't include negatives.

Irrational includes both, but not this one.

Natural numbers are only possitive values.

Is (6, 0) a solution to the equation y = 8x?

Answers

Answer:

no

Step-by-step explanation:

(6,0) would be 0 = 8(6), so no

yes 6 is the equation for y

Can the following lengths be
used to form a right triangle?
Explain.
Length 1: 15 units
Length 2: 20 units
Length 3: 35 units

Answers

I don’t think so because 2 lengths added up HAVE to be greater than the largest length. Hope this helped

For the following geometric sequence, find the recursive formula.
[-80, 20, -5, ...}

Answers

-3830019/99/99229!&/8

HElp And THAnkS ASAP

Answers

Answer:

B. M - J = 6

Step-by-step explanation:

Mike won 6 more games than Jeanie

so J + 6 = M

Subtract J from both sides of the equation

J - J + 6 = M - J

Simplify

6 = M - J

or

M - J = 6

If a pyramid prism has a height of 12 ft and a square base with side = 10
ft. What is the surface are of the pyramid?
160 sq. ft
1,340 sq. ft
240 sq. ft
340 sq. ft

Answers

The answer is 240 sq.ft

5. Higher Order Thinking Explain how to
find 35 + 9.
Use equations to show your thinking.
6. A
to us
9 +3

Answers

Answer:

9+8=17+9+9=18=35+9=44

Answers to the blank please

Answers

Answer:

Step-by-step explanation:

MP=NQ

3x-2=2x+8

x=10

MP=3x-2=28

NQ=2x+8=28

there's a 100 dollar stuck up 12 feet up a building and you buy a 15 foot ladder that can be safely leaned at a 60 degree angle, can you reach the bill?

Answers

no i cannot be safely leaned

Let z = 11 (cos(1) + i sin (1) and w=7(cos(1) + i sin (1)
What is zw?
A: 11/7(cos(pi/6) + i sin (pi/6)
B: 77(cos(pi/6)+ i sin (pi/6)
C:12(cos(pi/12) + i sin ( pi/12 )
D: 77 (cos(pi/12) + i sin (pi/12)

Answers

i think it would be b. not positive thought

The midpoint of QR is (4, -1).
Q = (3.1)
What are the coordinates of point R?

Answers

Answer:

(5,-3)

Step-by-step explanation:

Given that,

The coordinates of Q = (3,1)

The midpoint of QR = (4,-1)

We need to find the coordinates of point R.

We know that, according to mid-point theorem,

[tex](x_m,y_m)=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})[/tex]

Let (x₂,y₂) be the coordinates of point R.

So,

[tex](4,-1)=(\dfrac{3+x_2}{2},\dfrac{1+y_2}{2})\\\\\dfrac{3+x_2}{2}=4\ and\ \dfrac{1+y_2}{2}=-1\\\\3+x_2=8\ and\ y_2+1=-2\\\\x_2=5\ and\ y_2=-3[/tex]

So, the coordinates of point R is (5,-3).

The domain of rational function gis the same as the domain of rational function f. Both f and g have a single x-intercept at x = -10. Which
equation could represent function g?
A. g(x) = 10px)
B. 8(x) = f(x + 10)
C. 8(x) = f(x) + 10
D. g(x) = f(x) - 10

Answers

The answer for this is D

Measurement of a circle

(Giving brainliest to correct answer)

Answers

Answer:

See below

Step-by-step explanation:

1. True

2. False

3. True

Find the area of the figure. HELP PLZ

Answers

Answer: 1075 sq. ft

Step-by-step explanation:

A = length times width

First split the shape into two rectangles

Area of rec 1 = 25 times 8 = 200

Area of rec 2 = 35 times 25 = 875

200+875 = 1075 sq. ft

For 11-14, fill in the blank with >, <, or =.

Answers

Answer:

first one is =

second one is ≥

third one is =

forth one is =

Drag each number from the box to complete the equations that follow. Each number may be used once, more than once, or not at all.


(36÷__) − (36 ÷__ )=5

(__× 3) − __ =12

these are the choices 12 8 9 and 4

Answers

Answer:

(36/4)-(36/9)=5

(8*3)-12=12

Answer:

(36÷4) - (36÷9) = 5

(8x3) - 12 = 12

David and Patti each decomposed 138. David wrote 1 + 1/8 + 3/8. Patti wrote 4/8+2/8+5/8.
Who Is Correct?
No downloads
No Links
No files
No bitly.

Answers

Answer:

Both are wrong.

Step-by-step explanation:

We have that:

Both decomposed the fraction [tex]\frac{13}{8}[/tex] into a sum of fractions. Whoever's decomposition sum has a value of [tex]\frac{13}{8}[/tex] is correct.

David:

[tex]1 + \frac{1}{8} + \frac{3}{8} = \frac{8}{8} + \frac{1}{8} + \frac{3}{8} = \frac{8+1+3}{8} = \frac{12}{8}[/tex]

[tex]\frac{12}{8} \neq \frac{13}{8}[/tex], which means that David is wrong.

Patti

[tex]\frac{4}{8} + \frac{2}{8} + \frac{5}{8} = \frac{4+2+5}{8} = \frac{11}{8}[/tex]

[tex]\frac{11}{8} \neq \frac{13}{8}[/tex], which means that Patti is wrong.

So the answer is that both are wrong.

Pls someone help me with this question pls

Answers

Answer:

c

Step-by-step explanation:

trust me i am did the test aredy

Been stuck for the longest

Answers

Answer:

Since 2√7 = 5.29, move the circle over to the third dash after the five.

Step-by-step explanation:

Since 2√7 = 5.29, move the circle over to the third dash after the five.

GIVING OUT BRAINLIEST ANSWER HELP ME ASAP!!! pleaseeeee

Answers

Answer:

the answer is 29.7

Step-by-step explanation:

inverse tangent of (4/7)

A gain of seven yards in football is represented by 7. What number represents a loss of
seven yards?
A 0
B. 7
C. -(-7)
D. -7

Answers

Answer:

D. -7

Step-by-step explanation:

Since positive 7 represents a gain of seven yards, a loss would be represented by a negative number.

So, a loss of seven yards will be represented by -7.

So, the correct answer is D. -7

rewrite the expression using sixths 1 1/3 - 1/2 = 4/3 - 1/2

Answers

Answer:

8-3=8-3

Step-by-step explanation:

Solve 169x^2-42.25=0 by using square roots?

NEED HELP!!!

Answers

Answer:

x = 1/2 , x = -1/2

Step-by-step explanation:

Given equation;

169x² - 42.25

Find:

Solution of equation using square root

Computation:

169x² - 42.25

We know that 13² = 169 and 6.5² = 42.25

So,

[13x]² - [6.5]²

a² - b² = (a + b)(a - b)

So,

[13x]² - [6.5]² = [13x + 6.5][13x - 6.5]

So,

13x + 6.5 = 0 , 13x - 6.5 = 0

x = 6.5 / 13 , x = -6.5 / 13

x = 1/2 , x = -1/2

Find the real root of the equation x3 + x2 - 1 = 0 by
using iteration method.​

Answers

Answer:

i cant help that much but u can try using photomath

What is the value of u? (pls help and no links)

Answers

Answer:

I think 44 degrees

Step-by-step explanation:

73-29=44

Answer:

44

Step-by-step explanation:

The value of u, combined with the angle directly next to it (with the measurement of 29°), is a vertical angle to the opposite given angle (73°).

Note that, by the definition of vertical angles, angles directly next and opposite of each other have the same measurement. Set the equation:

u + 29 = 73

Isolate the variable, u. Note the equal sign, what you do to one side, you do to the other. Subtract 29 from both sides:

u + 29 (-29) = 73 (-29)

u = 73 - 29

u = 44

44° is your answer for u.

~

A florist is filling 6 vases with some water. The line plot shows the amount of water the florist adds to the vases. which is the amount of water the florist needs to fill 6 vases the vases.

Answers

Answer:2 3/4

Step-by-step explanation:

You add 3/4+2/4+6/4 and get 11/4 and you make 2 3=4 hope this helps

Find the distance between the two points.
(4,5)
(-4,1)
✓ [?]
Enter the number that
goes beneath the
radical symbol.

Answers

9514 1404 393

Answer:

  80

Step-by-step explanation:

The distance formula tells you the distance between the points is ...

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((4 -(-4))² +(5 -1)²) = √(8² +4²) = √(64 +16)

  d = √80

The number under the radical is 80.

PLZ ANSWER NO FAKE LINKS OR SAYING I READY ISNT ALLOWED

Answers

Answer:

Answer 2  i think

i did it myself and that what got i might have done it wrong.

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