The scores of individual students on the ACT Exam are modeled as normally distributed with a mean of19.6 and a standard deviation of 5.0. At Voldemort High, 64 seniors take the test. Assume the individualscores at this school are modeled using the same distribution as national scores. What is the samplingdistribution of the sample average score for this random sample of 64 students

Answers

Answer 1

Answer:

The sampling distribution of the sample average score for this random sample of 64 students is approximately normal, with mean 19.6 and standard deviation 0.625.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 19.6 and a standard deviation of 5.0.

This means that [tex]\mu = 19.6, \sigma = 5[/tex]

What is the sampling distribution of the sample average score for this random sample of 64 students?

By the Central Limit Thoerem, the sampling distribution of the sample average score for this random sample of 64 students is approximately normal, with mean 19.6 and standard deviation [tex]s = \frac{5}{\sqrt{64}} = \frac{5}{8} = 0.625[/tex]


Related Questions

ILL GIVE BRAINLIEST PLS HELP DUE SOON!

Answers

Answer:

area of shaded portion = 30.5 cm²

Step-by-step explanation:

area of circle = πr² = (3.14)(5²) = 78.5 cm²

area of rectangle = L x W = 8 x 6 = 48 cm²

78.5 - 48 = 30.5 cm²

Kurt recorded the amount of rainfall in each month for one year. What was the total rainfall that​ year?

Answers

Answer:wheres the question

sadStep-by-step explanation:

sadsadsa

Plz help me well mark brainliest if correct!

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Answer:

Two weeks later

Step-by-step explanation:

There are 14 days in two weeks, and there are 14-day intervals between dates.

Answer:

2 weeks later

Step-by-step explanation:

Two weeks is equivalent to 14 days

see image for question

Answers

Answer:

the correct option is " A= 5t+100 ".

Examine the figure of two parallel lines cut by a transversal.



What is the value of x?

Answers

Answer:

x=17

Step-by-step explanation:

The angles present are Alternative interior angles. That means that they are congruent. Meaning 4x+7 = 75. To solve for 7, you subtract 7 from both sides. That leaves you with 4x=68. Then you divide both sides with 4. Then you get x=17.

Hope this helps!

BTS!!

Answer:

x = 17

Step-by-step explanation:

75° and (4x + 7)° are alternate interior angles.

If two lines are cut by a transversal, then the alternate interior angles are congruent.

75 = 4x + 7

=> 4x = 68

=> x = 17

Reem is 5 years older (bigger) than 3 times Sara's age.
If Reem is 28 years old, how old is Sara?

Answers

Answer: 7 2/3

R = 3s + 5

28 = 3s + 5

23 = 3s

s = 7 2/3

A 16 1/2 km stretch of road needs repairs. Workers can repair 2 1/4 km of road per week. How many weeks will it take to repair this stretch of road?

Answers

Answer:

7 1/3 weeks

Step-by-step explanation:

Divide 16 1/2 km by (2 1/4 km/wk).  We get:

   16.5 km

--------------------- = 7 1/3 weeks

  2.25 km/wk

What is the radius of a circle that has a diameter of 34
inches?

Answers

Answer:

17 !!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

34 ÷ 2

Answer:

r=17 in

Step-by-step explanation:

Using the formula

d=2r

Solving for r

r=d/ 2=34/ 2=17in

Hope this helped!!!

plz help i give 50 points

Answers

Answer:

area of trapezium = 20 in^2

Step-by-step explanation:

here's your solution

==> area of trapezium = 1/2*(sum of parrel side)*distance between them

==> length of parrel sides = 6 in and 2 in

==> height = 5 in.

==> area of trapezium = 1/2(6 + 2) * 5

==> area of trapezium = 20 in^2

hope it helps

Step-by-step explanation:

sorry for this

"i try so can you rate"

Product of ²/₇ with the reciprocal of ⁽⁻³⁾/₈ is​

Answers

Answer:

Step-by-step explanation:

Reciprocal of (-3)/8 = -8/3

[tex]\frac{2}{7}*\frac{-8}{3}=\frac{2*(-8)}{7*3}=\frac{-16}{21}[/tex]

The percentage of students in the school that attended the talent show for the years 2008 to 2013 are shown
2008: 86%
2009: 89%
2010: 93%
2011: 85%
2012: 92%
2013: 95%
This year, the school has a total of 360 students. How many students will attend the talent show this year (in %)​

Answers

The school has a total of 360 students. The number of students that would attend this year is 357.

What is the percentage?

A percentage is a minimum number or ratio that is measured by a fraction of 100.

The percentage of students in the school that attended the talent show for the years 2008 to 2013 is shown

2008: 86%

2009: 89%

2010: 93%

2011: 85%

2012: 92%

2013: 95%

Number of students that would attend this year

= percentage of students that attended in 2013 x total number of students

[tex]= \frac{94}{100} \times 380\\= 357.2[/tex]

Thus, 357 to the nearest whole number.

Learn more about percentages;

https://brainly.com/question/13450942

#SPJ2

What is the measure of angle R?
Enter your answer as a decimal in the box. Round only your
final answer to the nearest hundredth.
m_R=

Answers

Answer:

28.07°

Step-by-step explanation:

sin R = 8/17

arcsin R = 28.07

1) A bag contains six red marbles and eight blue marbles. You randomly pick a marble and then pick a second marble without returning the marbles to the bag. Both marbles are red. ​

Answers

Answer:

You would have 4 red marbles and 8 blue marbles since you didn't return the ones you took out to the bag.

Step-by-step explanation:

6 - 2 = 4

The 8 would stay the same

There for you would have 4 red marbles and 8 blue marbles left in the bag. Totalled you have 12 marbles in the bag and 2 out of the bag. (8 + 4 = 12)

Including the marbles in and out of the bag you have 14 marbles. The 12 inside the bag + the 2 outside of the bag = 14 marbles totalled.

Five different DVDs cost:

$11.50, $11.00, $17.00, $21.25, $16.00

median =
$16.00
$10.25
$15.35

Answers

Answer:

16

Step-by-step explanation:

mode = the most

mean = ave

median = the no. in between

so arrange those five costs the one in the middle is 16

Hopes this helps:

Answer: 16.00

Arrange you numbers in numerical order. Than your middle number will be you answer.

I will give the BRAINEST

State how many solutions each equation has.
x2
-100
5x2
1
6x2 + 17 = 11
7 (x² + 6)
42

Answers

Answer:

-100x4xx=17x

Step-by-step explanation:

goodluck

18. At my son's birthday party, we had a piñata that we filled with 140 pieces of candy. If there were 42 Hershey
chocolate bars, what percent of the candy was Hershey chocolate bars?
19. On a recent test, there were 15 multiple-choice questions and 25 fill-in-the-blank problems. What percent of
the problems were fill-in-the-blank problems? (Hint: How many problems were on the entire test.)

Answers

Answer:

18.  30%

19.  62.5%

Step-by-step explanation:

42/140  mult by 100       30%

25 + 15 = 40

25/40   mult by  100 62.5%

18. 30%
19. 62.5

Because it is

VWXY is a parallelogram. Find the value of n.
Help meeee

Answers

Answer:

3.5

Step-by-step explanation:

n+7=3n

7=2n

n=3.5

Answer:

n=7/2

Step-by-step explanation:

n+7=3n

-n     -n

7=2n

/2  /2

7/2=n

plz help for a brainly

Answers

Answer:

364yd^2

Step-by-step explanation:

LxWxH

Answer:

its 364

Step-by-step explanation:

you do length times width times height

PLEASE ASNWER ILL GIVE YOUI BRAINLIEST

Answers

300 and 600 is your answer :)

!NO LINKS, NO FILES!

please :)

Answers

Answer: 10.5 km

A = bh

A = 3.5 x 3

A = 10.5

Answer:

I think ur answer would be 10.5 km

Step-by-step explanation:

srry if wrong hope this helps

NO LINKS OR WILL BE REPORTED
The table below shows the numbers of tickets sold at a carnival and the amounts of money in dollars collected Cost of Carnival Tickets

Number of Tickets. Amount $ Collected.
5 $15
10. $30
15. $45
20. $60
25. $75
Which equation represents the relationship
A y = x + 10
B y = 5x
C y = x + 15
D y = 3x​

Answers

The answer is D. Call number of tickets is ‘x’ and amount $ collected is ‘y’. If x=5, y=3x5=15.

5x-6=29. What does x equal

Answers

Answer:

Solution given:

5x-6=29.

5x=29+6

x=35/5=7

x=7 is your answer

Answer:

x=7

Step-by-step explanation:

please say this question answer please​

Answers

Answer:

4

Step-by-step explanation:

Its 4 because x= 4

What is the slope of the line graphed below? (-1,3) (-2,-1)

Answers

Answer:

the slope of (-1,3) (-2,-1) is 4

Find the area of this parallelogram. Be sure to include the correct unit in the answer! (cm) , (cm2) , (cm3)

HELP PLEASE ! asap. i have a 30% in geometry & really tryna pass before summer .

Answers

Answer:

100cm^2 is what it means

Answer:

156 cm²

Step-by-step explanation:

The area of a parallelogram is found by finding the product of its base and perpendicular height. Here, the base is 12cm and the perpendicular height is 13cm.

12cm x 13cm = 156 cm²

The supermarket sells juice in 16- and 32-ounce bottles. If Warren wants to bring home 144 ounces of juice in 7 separate bottles, which system of equations should he solve to determine how many 16- and 32-ounce bottles to buy? (Let x represent the number of 16-ounce bottles and y represent the number of 32-ounce bottles.)

A. 32x+16y=144 x+y=7
B. 16x+32y=144 x+y=7
C. 32x+16y=144 x+y=144
D. 16x+32y=7 x+y=32

Answers

The correct answer should be approximately letter b) 16x+32y=144 x+y=7

1-4: Find the measures of central tendency, then determine the range of the data.
Daily High Temperatures (°F) for a week: 68 70 67 68 75 75 74 (1 pt each)
1. Mean:
2. Median:
3. Mode(s):
4. Range:

Answers

Answer:

Step-by-step explanation:

1=71

2=70

3= 68 and 75, they both appear twice

4= 8

Help due at 12 am






God bless you

Answers

It kinda depends on ur breath hold it for 15 seconds and count in ur head mine was 33 how about urs. And the reason why it’s because it helps ur lungs to see if u can hold it
Plz mark me brainless

GIVING OUT BRAINLIEST ANSWER !! PLS HELP ME OUT !! (last minute)

Answers

Answer:

.764

Step-by-step explanation:

do it on a calculator (TI84)

Answer:

45.6°

Step-by-step explanation:

take the inverse cosine of 7/10: [tex]cos^{-1}(\frac{7}{10})[/tex]

plug it into a graphing calc and you get ≈ 45.573°, they want 1 decimal place so it would be ≈ 45.6°

A:Corresponding angles
B:Alternate exterior angles
C:Vertical angles
D:Alternate interior angles

Answers

Answer:

B: alternate exterior angle

hope it helps.

Answer:

the relationship between t and y is B:Alternate exterior angles

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