The average age at which adolescent girls reach their adult height is 16 years. Suppose you have a sample of 27 adolescent girls who are developmentally delayed, and who have an average age at which they reached their adult height of 17.1 years and a sample variance of 36.0 years. You want to test the hypothesis that adolescent girls who are developmentally delayed have a different age at which they reached their adult height than all adolescent girls.

Calculate the t statistic. To do this, you first need to calculate the estimated standard error. The estimated standard error is SM=_________ .The t statistic is _________. Now suppose you have a larger sample size n 81. Calculate the estimated standard error and the t statistic for this sample with the same sample average and the same standard deviation as above, but with the larger sample size. The new estimated standard error is __________ .The new t statistic is___________

Answers

Answer 1

Answer:

a) t-statistic  t = 0.9532

b) The standard error  S.E = 1.2

c) The new  t-statistic = 1.95

d)  The new estimated standard error =0.666

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 16

The sample size n=27

The mean of the sample = 17.1

Given that the variance of the sample (S²) = 36.0

The standard deviation of the sample (S) = √36 = 6

Test statistic

  [tex]t = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]

 [tex]t = \frac{17.1 -16}{\frac{6}{\sqrt{27} } }[/tex]

t = 0.9532

b)

   The standard error is defined by

  [tex]S.E = \frac{S.D}{\sqrt{n} } = \frac{6}{\sqrt{27} } =1.154[/tex]

Step(ii):-  

c) given that the sample size n = 81

Test statistic

 [tex]t = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]

 [tex]t = \frac{17.1 -16}{\frac{6}{\sqrt{81} } }[/tex]

t = 1.65

d)

The new standard error is defined by

  [tex]S.E = \frac{S.D}{\sqrt{n} } = \frac{6}{\sqrt{81} } = 0.66[/tex]


Related Questions

Help me pls I don't know what I'm doing ​

Answers

Answer:

B. 3.6

Step-by-step explanation:

I have no idea if this is right but my logic is 3.6 - 3.6 = 0

Answer:

B. 3.6

Step-by-step explanation:

The equation is

w - 3.6 = 0

That means start with some number. Then subtract 3.6 from that number. The result is 0. What number is it that when you subtract 3.6 from it you get 0? That number is 3.6 since 3.6 - 3.6 = 0. That means w, the unknown, must equal 3.6.

That is the explanation.

The way to solve the equation is to see what is being done to the unknown. The unknown here is w. On the left side, you see 3.6 being subtracted from w. In order to undo a subtraction, you must do the opposite operation which is an addition. In order to undo a subtraction of 3.6, you must add 3.6. The rule with equations is that you must do the same operation to both sides of the equation, so add 3.6 to both sides of the equation.

w - 3.6 = 0

Add 3.6 to both sides.

w - 3.6 + 3.6 = 0 + 3.6

w = 3.6

Answer: B. 3.6

Of the people who fished at Clearwater Park today, 81 had a fishing license, and 9 did not. Of the people who fished at Mountain View Park today, 60 had a license, and 40 did not. (No one fished at both parks.) Suppose that one fisher from each park is chosen at random. What is the probability that the fisher chosen from Clearwater had a license and the fisher chosen from Mountain View did not have a license? Do not round your answer.

Answers

Answer:

9/25 = the probability that the fisher chosen from Clearwater had a license and the fisher chosen from Mountain View did not have a license

Step-by-step explanation:

There are 90 fishers at Clearwater and 100 fishers at Mountain View

The probability of a fisher at Clearwater had a license = 81/90 = 9/10

and the probability of a fisher at Mountain View

did not have a license = 40/100 = 2/5

the probability that the fisher chosen from Clearwater had a license and the fisher chosen from Mountain View did not have a license = 9/10(2/5) = 9/25

Mika rides his bike 3 miles each way to his friend's house. He leaves his house at 4 p.m. How many miles does he ride his bike there and back? What information is extra?

Answers

Answer: Mika rides his bike for 6 miles to his friend's house and back. The extra information is when the problem says "He leaves his house at 4 p.m." since we are talking about distance, not time.

Step-by-step explanation:

Now select point D, and move it around. You will notice that moves with point D but remains parallel to . Check the box labeled Show Ratios of Intersected Segments to see the ratios AD : DB and AE : EC. What do you notice about the ratios as you move point D?

Answers

Answer: The ratios change as the position of D changes, but the two ratios remain equal to each other.

Step-by-step explanation:

Answer:

The ratios change as the position of D changes, but the two ratios remain equal to each other

Step-by-step explanation:

1. Which numerical expression has the value of 60?
4. (12+ 4) 3 b. 12 - 14 - 3) c.** 12 + 3)
d. 12 - 4-3​

Answers

Answer:

sorry but I can't really tell if any of them have 60 it kind of looks like none of them have 60 unless theres a bit multiplying then maybe I can help but other wise right no sorry

can someone plz help me out

Answers

Step-by-step explanation:

A drought is an event of prolonged shortages in the water supply, whether atmospheric, surface water or ground water. A drought can last for months or years, or may be declared after as few as 15 days.

find the Sum and the product
of the root of the Equadration
1/3and 2/3​

Answers

Answer:

sorry do not know

Step-by-step explanation:

.

Answer:

9x² - 9x +2

Step-by-step explanation:

general formula =x²-(sum of roots)x+(product of roots)

2 z − 22 facorise fully

Answers

Answer:

Factorising fully

then

2z - 22

= 2( z - 11)

A boat can travel 77 9/16 nautical miles in 8 1/2 at how many knots is the boat traveling ​

Answers

Divide miles by time:

77 9/16 miles / 8 1/2 hours =

Rewrite as I’m proper fractions:

1241/16 / 17/2

Flip the second fraction over and multiply:

1241/16 x 2/17 = (1241x2)/(16x17) =

2482/272 = 9 1/8 miles per hour

Hi there!

Simplify each terms:

[tex]77\frac{9}{16}*8\frac{1}{2}=77\frac{9}{16}*8\frac{8}{16}[/tex]

Divide each terms:

[tex]77\frac{9}{16}*8\frac{8}{16}=9\frac{2}{16}[/tex]

Simplify terms:

[tex]9\frac{2}{16}=9\frac{1}{8}[/tex]

Final Result:

[tex]9\frac{1}{8}[/tex]

please answer this as soon as possible

Answers

Answer:

Realmente no sé, lo siento muchísimo :(

Estoy tan triste que no puedo ayudar: ((((

Step-by-step explanation:

Solve the inequality:
-3t+9 > -21
O t< -10
o t < 10
O t> -10
O t > 10

Answers

Answer:

b. t < 10

Step-by-step explanation:

[tex]-3t + 9>-21[/tex]

divide both sides by -3

[tex]t - 3 < 7[/tex]

(you have to flip the sign because you are dividing by a negative)

add 3 to both sides

[tex]t<10[/tex]

15. If R is the midpoint of OS, OR = &r - 51 and RS = 3x - 6, find QS.
Only answer if right I need help

Answers

Give me a sec please

4/40 in its simplest form

Answers

Answer:

1/10

Step-by-step explanation:

(4/40)/ (4/4) = 1/10

An item that was selling for $82.00 is reduced to $60.00. Find the percent decrease in price. Round your answer to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

Amount of decrease = 82-60 = 22

percentage decrease = 22/82 ≅ 0.268 = 26.8%

açıl hızlı cevap verin lütven​

Answers

Answer:12

Step-by-step explanation:

8) Which of the Prime number are
even numbers?
C
a) 0 & 2
b) 1 & 2
c) 2
ОО
d) None​

Answers

Answer C is correct

Find the midpoint of the line segment with the endpoints (-6,-8) and (-2,-6)

Answers

Answer:

Step-by-step explanation:

The midpoint between two points is just the average of the coordinates.

mp=((x2+x1)/2, (y2+y1)/2)

mp=((-6-2)/2, (-8-6)/2)

mp=(-4, -7)

Complete the function table,
then list the domain of the function
Domain

What’s the next numbers ?

Answers

Answer:

f(x)=x-2

f(2)=2-2=0

f(3)=3-2=1

you only have attach the number to x

Answers:

Second row:  0Third row:   3-2   and  1

====================================================

Explanation:

The first column is the list of x values we plug into the function. The second column describes what happens to those x inputs. Namely, we subtract off 2. In the first row, it shows 0-2 after replacing x with 0. This leads to the result of -2 since 0-2 = -2.

In the second row, we have the input x = 2 turn x-2 into 2-2 = 0. So that's why 0 goes in the blank for the second row.

In the third row, we have x-2 = 3-2 = 1. So we'll have 3-2 go in the first blank of row 3, and the value 1 go in the second blank of this same row.

Find the slope of the line represented in the table.
x

Answers

Answer:

The slope is -3

Step-by-step explanation:

Use the slope formula to find the slope.

The formula is .... ⏬

1. A bank account started with $1000 and earned $10 interest per month
for two years. The bank then paid 2% interest on the account for the
next two years.

Answers

Answer:

What exactly is the question here ?? (lol)

5
A line passes through the point (4, -3) and has a slope of
4
Write an equation in slope-intercept form for this line.

Answers

Answer:

y = 4x -19

Step-by-step explanation:

y = 4x + b

first we add the point to the equation and then we solve for b

-3 = 4 ( 4 ) + b

-3 = 16 + b

     -16

-19 = b

According to the National Beer Wholesalers Association, U.S. consumers years and older consumed gallons of beer and cider per person during . A distributor in Milwaukee believes that beer and cider consumption are higher in that city. A sample of consumers years and older in Milwaukee will be taken, and the sample mean beer and cider consumption will be used to test the following null and alternative hypotheses:_______.
H0 : µ ≤ 26.9
Ha : µ > 26.9
a. Assume the sample data led to rejection of the null hypothesis. What would be your conclusion about consumption of beer and cider in Milwaukee?b. What is the Type I error in this situation? What are the consequences of making this error?c. What is the Type II error in this situation? What are the consequences of making this error?

Answers

Step-by-step explanation:

H0 : µ ≤ 26.9

Ha : µ > 26.9

a. since the null hypothesis is rejected, we would accept the alternative hypothesis and come to the conclusion that there is enough evidence that beer and cider consumption are higher than 26.9 in the city.

b. type 1 error happens when we reject a true null hypothesis.

this error error in this question would be that our conclusion that beer and cider consumption is greater than 26.9 is not true. what is true is that it is equal to or less than 26.9.

the consequence is that is h0 is false it would be harder to reject it at a lower level of significance.

c. type ii error happens when the null hypothesis is accepted even though it is false. here, error would be that cider we accepted that cider and beer consumption is less than or equal to 26.9 when it is actually greater than 26.9

the consequence is that it would be harder to accept a true h0 at a high level of significance

Find the midpoint between each pair of points.
13. (7,-2) (-4,2)
BONUS POINTS IF RIGHT

Answers

Ok the mid point is 3/2,0

15 PTS NEED ASAP HELP !!!

Answers

Answer:

use photo math it helps.......

Answer:

-1

Step-by-step explanation:

Let's simplify this equation one at a time using the order of operations:

|2 - 5| - (12÷4 - 1)^2

3 - (3 - 1)^2

3 - 2^2

3 - 4 = -1

Hope this helps!!

Question 1 of 5
Which three side lengths best describe the triangle in the diagram?
O INCHES
1
2
3
4
5
OM 1
2
3
4
5
6
7
8
9
10 11 12 13
O INCHES
5
9 10 11 12 13
w
8
4
7
A
6
5
3
4
3
.
-N
2
O
0 i 2
1
O INCHES
w

Answers

The answer is 2 answer 2

The three side lengths best describe the triangle in the diagram are A. 5 cm, 12 cm, and 13 cm

What is a triangle?

A polygon with three sides and angles is called a triangle.

Given is a figure, with the rulers attached to each side, we need to see what are the measurements of the sides of the triangle,

The first side is showing a measure of 13

The second side is showing a measure of 12

And, the third one is showing a measure of 5

This is a right triangle because the measurements are Pythagorean triplets.

Hence, the three side lengths best describe the triangle in the diagram are A. 5 cm, 12 cm, and 13 cm

Learn  more about triangles, click;

https://brainly.com/question/2773823

#SPJ7

The buyer of a lot pays 50,000 and 10,000 every month for 10 yearts and is worth 8% compounded monthly

Answers

Answer:

d

Step-by-step explanation:

of course it is Charlie as he just walked 11.8 miles

6 Item 6 For a specific species of fish in a pond, a wildlife biologist wants to build a regression equation to predict the weight of a fish based on its length. The biologist collects a random sample of this species of fish and finds that the lengths vary from 0.75 to 1.35 inches. The biologist uses the data from the sample to create a single linear regression model. Would it be appropriate to use this model to predict the weight of a fish of this species that is 3 inches long

Answers

Answer:

Yes, because the regression equation is based on the random sample.

Step-by-step explanation:

A simple linear regression model that describes the relationship between X and Y takes the form

Yi= ∝ + βXi + εi or

Y i= U(y.x) + εi

where εi's are the random errors. The random errors εi's are assumed to be independent of Xi and normally distributed with E(εi)= 0 and Var (εi)= σ²(y.x) , a constant for all Xi. These assumptions imply that Yi also have a common variance σ²(y.x) ,  as the only random element in the is  εi.

The estimated regression line Y= a+ bX is also the predictor of Yi= ∝ + βXi+ εi

. That is Y^ can also be used to predict an individual value Y0 of Yi rather than a mean value, corresponding to the given X0. To draw the inferences about Y0 we need to know it mean and variance.

hello hello I need help asap ​

Answers

13/4 and 3 1/4
Hope this helps

Answer:

im not smart

Step-by-step explanation:

HELP solve the proportion x+1/16 = 17/32

Answers

Answer:

Exact Form:

x=15/32

Decimal Form:

x=0.46875

Step-by-step explanation:

Move all terms not containing x to the right side of the equation.

Exact Form:

x=15/32

Decimal Form:

x=0.46875

Hope this helps!!!

Answer:

Exact Form : x = 15/32

Decimal : 0.46875

em um campeonato de ciclismo um atleta precisou percorrer 54 000 m para a faixa de Chegada Sabendo que Ele demorou 7 2000 Segundos a Concluir a Corrida qual foi dua Velocidade Media em Km/h?​

Answers

Answer:

Average speed in km / h = 2.7 km/h

Step-by-step explanation:

Given:

Total distance = 54,000 m

Total time = 72,000 sec

Find:

Average speed in km / h

Computation:

Average speed = Distance / Time

Average speed = 54,000 / 72,000

Average speed = 0.75 m/s

1 m/s = 3.6 km/h

So,

Average speed in km / h = 0.75 x 3.6

Average speed in km / h = 2.7 km/h

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