A century ago, the average height of adult women in the United States was 63 inches. Researchers believe that the average might be greater today. A random sample of 40 adult women was selected from the population. The sample had mean 64.2 inches and standard deviation 2.9 inches. Assuming all conditions for inference are met, the researchers will perform an appropriate hypothesis test to investigate their belief.

Required:
What is the correct test statistic for the hypothesis test?

Answers

Answer 1

Answer:

t= 64.2-63 / 2.9/ sqrt 40

Step-by-step explanation:

Got it right on AP Classroom

Answer 2

There is a 0.18 probability of obtaining a sample mean height of exactly 64.2 inches from a population whose mean height is 63.7 inches.

What is the null hypothesis?

The null hypothesis in inferential statistics states that two possibilities are identical. The null hypothesis states that the observed difference is purely random. It is feasible to calculate the probability that the null hypothesis is correct using statistical testing.

1. C) H0: u = 63.7 in. versus H1: u > 63.7 in.

the null hypothesis state that over the years the mean height is 63.7in. the alternative hypothesis will be if the mean height is greater than 63.7

2. z = (variate - mean)/ (standard deviation/

Z = (64.2 - 63.7)/ (20/roots 45) =0.17

meaning there is

B. There is a 0.18 probability of obtaining a sample mean height of exactly 64.2 inches from a population whose mean height is 63.7 inches.

3. if the level of significance is 0.05 or between  0.05 and 0.01, i.e. the confidence level is 95% or  between 95% and 99%, the results are considered  to be probably significant, i.e. the results  are probably correct,

Therefore, the alternative hypothesis is correct

To know more about the Null hypothesis follow

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Related Questions

Please help need to be done quickly

Answers

It’s the last one, D I guess. It’s the square root of the number surrounding x, so it’s going to be the one with the larger numbers

Answer:

13<x<14

Step-by-step explanation:

try using your calculator using square root

i mean square root 169=13 and square root 196=14

What is the probability that you know will not wear a white shirt on the first day of her trip

Answers

Answer:

what is the question yaaar

Which choice is equivalent to the product below?

Answers

Answer:

C is the right answer have a good day

what is the ratio of these plz help​

Answers

Step-by-step explanation:

1. Ratio(White to black) = 12 / [52 - 12]

Ratio(White to black) = 12 / [40]

Ratio(White to black) = 3 / 10 = 3:10

2. Ratio(Blue triangle to all) = 5 / [5+80]

Ratio(Blue triangle to all) = 5 / [85]

Ratio(Blue triangle to all) = 1 / 17 = 1:17

3. Ratio(Circle to all) = 76 / [22+76]

Ratio(Blue triangle to all) = 76 / [98]

Ratio(Blue triangle to all) = 38 / 49 = 38:49

4. Ratio(Yellow triangle to blue) = 18 / 14

Ratio(Yellow triangle to blue) = 9 / 7 = 9:7

5. Ratio(Yellow triangle to blue) = 42 / 6

Ratio(Yellow triangle to blue) = 7 / 1 = 7:1

6.Ratio(Boys to all) = 63 / [27 + 63]

Ratio(Boys to all) = 63 / 90

Ratio(Boys to all) = 7 / 9 = 7:9

Weight gain during pregnancy. In 2004, the state of North Carolina released to the public a large data set containing information on births recorded in this state. This data set has been of interest to medical researchers who are studying the relationship between habits and practices of expectant mothers and the birth of their children. The following histograms show the distributions of weight gain during pregnancy by 837 younger moms (less than 35 years old) and 143 mature moms (35 years old and over) who have been randomly sampled from this large data set. The average weight gain of younger moms is 30.67 pounds, with a standard deviation of 14.69 pounds, and the average weight gain of mature moms is 28.52 pounds, with a standard deviation of 13 pounds. Do these data provide strong evidence that there is a significant difference between the two population means

Answers

Answer:

From the given data, there is not enough evidence to prove that there is a statistically significant difference between the two population means

Step-by-step explanation:

The number of younger moms, in the study = 837

The average weight gain of younger moms, [tex]\overline x[/tex]₁ = 30.67 pounds

The standard deviation of the weight gain of younger moms, s₁ = 14.69 pounds

(30.67 - 28.52)/√((14.69^2)/837 + 13²/143))

The number of younger moms, in the study = 143

The average weight gain of mature moms, [tex]\overline x[/tex]₂ = 28.52 pounds

The standard deviation of the weight gain of mature moms, s₂ = 13 pounds

The test statistic for the difference in two populations is given as follows;

[tex]t=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{s_1^{2} }{n_{1}}-\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]

Therefore, we get;

[tex]t=\dfrac{(30.67-28.52)}{\sqrt{\dfrac{14.69^{2} }{837}-\dfrac{13^{2}}{143}}} \approx 1.7919[/tex]

The test statistic ≈ (1.7919)

Using a graphing calculator, we get;

The critical-t = ±1.971379, p = 0.07459697

Therefore, given that the test statistic, (1.7919), < critical-t (0.07459697), we fail to reject the null hypothesis, therefor, the given data does not provide convincing evidence that there is a significant difference between the two population means

A pilot is flying at 10,000 feet and wants to take the plane up to 20,000 feet over the next 50 miles. What should be his angle of elevation to the nearest tenth? (Hint: There are 5280 feet in a mile.)

Options
2.2 degrees
10.7 degrees
87.8 degrees
89.7 degrees

Answers

Answer:

[tex] \boxed{ \tt{2.2 \: degrees}}[/tex]

7% interest on a loan of $800 for a year. how much will you receive?

Answers

Answer:

$56

Step-by-step explanation:

Here's an easy way to figure out this and any percentage question. One per cent (1 dollar out of $100) of $800 would be $8. So, if the man received 7 per cent out of $800, then just multiply $8 times 7, which is 56...so $56!

Hope it helps

Please mark me as the brainliest

Thank you

Step-by-step explanation:

Here's an easy way to figure out this and any percentage question. One per cent (1 dollar out of $100) of $800 would be $8. So, if the man received 7 per cent out of $800, then just multiply $8 times 7, which is 56...so $56

what is 4.5609+3.098

Answers

Answer:

7.6589

Step-by-step explanation:

A brick measures 15 cm in length, 8 cm in breadth and 5 cm in height. How many bricks will be used to make a wall of length 15 cm, breadth 10 cm and height 8 cm
1. 2 bricks
2. 5 bricks
3. 9bricks
4. 4bricks

Answers

Answer:

2bricks

Step-by-step explanation:

volume of cuboid = length × breadth ×height

step 1 : calculate the first one

v= 15cm ×8cm× 5cm = 1200cm^3

step 2 calculate the 2nd one

v= 15cm ×10cm×8cm = 600cm^3

number of bricks

1200cm^3 × 1bricks/ 600cm^3 = 2 bricks

A line passes through the points (4,15) and (9,20). Right in line your function rule in terms of x and y for this line

Answers

Answer:

15

Step-by-step explanation:

use formula y-y1=m(x-x1)

(4,15) = (x1,y1)
(9,20)=(x2,y2)

m is the slope which you don’t have but you can find by doing (y2-y1)/(x2-x1)
m=(20-15)/(9-4)
m=5/5
m=1

y-y1=m(x-x1)
y-15=1(x-4)
y-15=x-4 |+15 to both sides
y=x +11

Write the sentence as an inequality.
1. The sum of twice a number n and 8 is at most 25.

Answers

Answer:

2n + 8 = 25

try the sign (equal to) or (less than or equal to)

PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HEEEEEEEEEEEELLLLLLLLLLLLLPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1

Answers

Answer:

theyre vertical angles and x is 16

Step-by-step explanation:

7x+16=128

7x=128-16

7x=112

x=112/7

x=16

hope i helped! mark as brainliest pls <3

Answer:

Vertical x = 16

Step-by-step explanation:

(7x + 16) = 128

7x = 128 - 16     -------    7x = 112

x = 112 ÷ 7

x = 16

José bought for notebooks more than twice of a number he has now 12 notebooks what is the number

Answers

Answer:

is it 24

Step-by-step explanation:

twice of a number thats 12???

dont use answer unless your sure

A set of four postcards costs $1.00. Single postcards cost $0.50. What is the least amount of money you
can spend to buy exactly 15 postcards?

Answers

Answer: 3 Sets of the 4 post cards and 3 of the single post cart sets.

Step-by-step explanation:

You buy 3 of the 4 post card set becuase that is the most you can get of those to get under 15 post cards.

You would now have 12 postcards now you have to buy 3 of the single set to get to 15 cards

You would buy the set of four postcards 4 times. This would equal $4 for 12 postcards. Then you would have to buy 3 individual postcards. Those 3 postcards would be $1.50
$4+$1.50=$5.50


If tan 0 = -2.5, then cot 0 =
= ?

Answers

the answer shld be 0.99

The constraint for the potential plant site 2 can be written as:
a. x21 + x22 + x23 less or equal than 2100y2
b. x21 + x22 + x23 greater or equal than 2100y2.
c. x21 + x22 + x23 less or equal than 2800 y2.
d. x21 + x22 + x23 greater or equal than 2800y2.
e. none of the above.

Answers

Answer:

c. x21 + x22 + x23 less or equal than 2800 y2

Step-by-step explanation:

The plant has a maximum capacity of 2800 then the sum of all these operations must be equal to or less than 2800. The site of the plant has capacity constraint which needs to be determine through equation. The total capacity for the plant 2 is only 2800 the operation has to be distributed with keeping in mind the capacity limit.

PLEASE SHOW YOUR WORK

Answers

Answer:

20percent is the same as 20/100 so .2

Step-by-step explanation:

GIVE BRAINLIEST

Answer:

0.2

Step-by-step explanation:

Whenever you have a percentage

move the decimal over 2 places.

20 = 0.2

Another example

70% = 0.7

287% = 2.87

ACTIVIDADES DE REFORZAMIENTO (SUGERENCIAS)
CON BASE EN EL SIGUIENTE DIBUJO, JUSTIFICA LA FÜRMULA PARA CALCULAR EL ÁREA DEL CUADRILATERO
2.. CON BASE EN EL SIGUIENTE DIBUJO, JUSTIFICA LA FURMULA PARA
CALCULAR EL ÁREA DEL TRIÁNGULO
JUSTIFICACIÓN
JUSTIFICACIÓN​

Answers

Answer:

Para medir el área de una figura se multiplica la base × Altura

Step-by-step explanation:

Espero que eso te ayude :D

Solve for x
Pls help

Answers

Answer:

Hey mate....

Step-by-step explanation:

This is ur answer.....

first we need to find the angle that is above 63 degrees, it will be much easier to know the next one....

= (Supplementary angle) 180 - 63

= 117

Expression = 23x + 2

= 23 x ? + 2

= (Multiplication of 23)

= 23 x 5 + 2

= 117

SIMPLE!

Have a look on the pic given below....

HOPE IT HELPS!

MARK ME BRAINLIEST....

FOLLOW ME!!!! :)

Forty families were surveyed and asked to record the number of hours per week their television was in use. The results are shown in this frequency table.

Which histogram is an accurate representation of the data?
a
20
13
Number of Hours
0-5
40-49
10-19 20-29 30-39
Frequency
b.
20
19
16
14
12

Answers

Answer:

I think its D, Correct me if I'm wrong!

Step-by-step explanation:

Indicate whether each statement about linear functions A and B shown below is true or false by checking the appropriate box in the table.



TRUE OR FALSE
The rates of change for both Function A and B are positive.

TRUE OR FALSE
The rate of change for Function A is 3 times the rate of change for Function B

TRUE OR FALSE
The y-intercepts for both Function A and Function B are positive.

Answers

True because the rate and a and b are positive

The midpoints of the hexagon are connected to form another hexagon, this pattern continues indefinitely. If the area of the 99th hexagon formed by this pattern is 1, what is the area of the original hexagon?

Answers

Answer:

(4/3)⁹⁸ units²

Step-by-step explanation:

Regular hexagons have a property that cutting off the triangles obtained by joining the midpoints of consecutive sides leaves a hexagon of 3/4 of the area.

This means the area of each hexagon inside out starting from the one with unit area is 4/3 of the previous one.

99 ⇒ 198 ⇒ 1*4/397 ⇒ 1*(4/3)²...1 ⇒ (4/3)⁹⁹⁻¹

The original hexagon has the area of:

(4/3)⁹⁸ units²

Answer:

(4/3)^98units.

Step-by-step explanation:

By hexagonal property in which cut off the triangles obtained be the joining of m.p of adjacent sides which left 3/4 of total area.

Meng conducted a survey to determine the favorite flavor of ice cream in
his hometown. Fifteen of the fifty people he surveyed like strawberry best.
How many of the 3,500 residents in the town would you expect to like
strawberry ice cream? *

Answers

Answer:

1,050

Step-by-step explanation:

It’s in my notebook, so I can’t show

Factorise the expressions.​

Answers

Answer:

Q.1 lx²+mx

=x(lx+m)

Q.2 x² - ax - bx + ab

= x(x - a) - b(x - a)

=(x - b)(x - a)

Q.3 6ab - b²+ 12ac - 2bc

= b(6a - b) - 2a(6a - b)

=(b - 2a)(6a - b)

Julie has a large red apple in her hand that is 4 ft off the ground. A blue bird sees the apple at an
angle of depression of 55°. If Julie is 15 ft from the tree, how tall is the tree?

Answers

Answer:

Step-by-step explanation:

so from the silly drawing,  you can see that the triangle is 4 feet off the ground, and that we want to find the Opp side from our angle of 15 °

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

use TOA to find the Opp side of the triangle .. which is labeled X

Tan(15) = X / 15

15* Tan(15) = X

4.019   =   X

so the bird is up 4 feet in the tree.. not very high up, plus the 4 feet that the apple is already off the ground, soo

the tree... to where the bird is, at least, is 8.019 feet..

did this make sense?  :/  

hope the drawing helped  :P

Please answer this correctly without making mistakes I want ace expert and genius people to answer this correctly without making mistakes

Answers

it would be -76 have a great day

what is the area of the composite figure shown ​

Answers

Answer:

area of the figure=

[tex] \frac{1}{2} \times (25 + 31) \times \times 11 \\ \frac{1}{2} \times 56 \times 11 \\ 28 \times 11 \\ 308[/tex]

[tex]12 \times 14 \\ 168[/tex]

[tex]308 + 168 \\ 476[/tex]

Help please it isn’t D I already tried that and I can’t find anything else on this!

Answers

Answer:

its B. because if c plus w equal z then the answer equal B.

Which method correctly solves the equation using the multiplication property of equality and the reciprocal of One-third?

One-third (x + 9) = negative 12

Answers

Negative 12 one third x+9

PLEASE HELP!! I WILL REWARD BRANIEST!

Answers

Jackson is the answer

Answer: nate

Step-by-step explanation:

nate because 7.905  is higher than all of them

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