A certain test preparation course is designed to help students improve their scores on the GRE exam. A mock exam is given at the beginning and end of the course to determine the effectiveness of the course. The following measurements are the net change in 5 students' scores on the exam after completing the course: 6,14,12,23,0 Using these data, construct a 95% confidence interval for the average net change in a student's score after completing the course. Assume the population is approximately normal. Step 2 of 4 : Calculate the sample standard deviation for the given sample data. Round your answer to one decimal place.

Answers

Answer 1

Answer:

(0.25 ; 21.75)

8.7 (1 decimal place)

Step-by-step explanation:

Net change in scores : X = 6,14,12,23,0

Sample mean, xbar = (6 + 14 + 12 + 23 + 0) /5 = 55 /5 = 11

Sample standard deviation, s = 8.66 ( from calculator)

Sample standard deviation = 8.7( 1 decimal place)

Sample size, n = 5

The 95% confidence interval; we use t, because n is small

Tcritical at 95%, df = 4 - 1 = 3 ; Tcritical = 2.776

Xbar ± standard Error

Standard Error = Tcritical * s/√n

Standard Error = 2.776 * 8.66/√5

Standard Error = 10.751086 = 10.75

Lower boundary = (11 - 10.75) = 0.25

Upper boundary = (11 + 10.75) = 21.75

(0.25 ; 21.75)

The


Related Questions

The ratio of dogs to cats is 7:2. Why is the ratio of dogs to 8 cats?

Answers

Answer:

28

[tex]\frac{7}{2} \\\\\frac{x}{8}[/tex]

[tex]2 * x = 8\\x = 4[/tex]

[tex]7 * 4 = x\\x = 28[/tex]

PLZZ GIVE BRAINLIEST

HELP ME IN MATH PLEASE IM FAILING :( NO FAKE ANSWERS PLS :)

Answers

The area of a parallelogram has the following formula: A=bh

Plug-in the given numbers.

Base=14cm

Height=13cm

A=bh

A=14 x 13

A=182

Therefore, the area of the figure is 182cm2

Answer:  182 square centimeters

Step-by-step explanation:

The formula for finding the area of a parrallelogram is A = bh.  If the top measurement is 14 cm, then the bottom measurement is also 14 cm.  The height is 13 cm.  

A = (14) (13)

A =  182 cm^2  

Which of the following is TRUE?
A. 8<-7
B -1 > 1
C. 6> 3
D. 4 <-2

Answers

9514 1404 393

Answer:

  C. 6 > 3

Step-by-step explanation:

It is true that 6 is greater than 3.

__

All negative numbers are less than any positive numbers.

We hope you are sufficiently familiar with numbers and counting to be able to tell which positive numbers are more or less than any other positive number.

50 POINTS. A ball is thrown into the air from a height of 4 feet at time t = 0. The function that models this situation is h(t)= -16t^2 + 64t + 4, where t is measured in seconds and h is the height in feet. What domain makes sense for this function

Answers

Answer:

The domain that makes sense for this function is all values greater than or equal to 0.

Step-by-step explanation:

A ball is thrown into the air from a height of 4 feet at time t = 0. It is modeled by the function:

[tex]h(t)=-16t^2+64t+4[/tex]

The domain of the function is time t. The range of the function is the ball's height in the air h.

Since time is our domain, we must restrict our domain to values equal to or greater than 0 since time cannot be negative.

Therefore, the domain that makes sense for this function is all values greater than or equal to 0.

In interval notation, this is:

[tex][0, \infty)[/tex]

And as an inequality:

[tex]t\geq 0[/tex]

how many solutions does this graph have?

Answers

Answer:

one solution

Step-by-step explanation:

It will cross the x-axis one time

The number of direct-report employees to the department directors of a company are as follows: 23, 28, 41, 29, 33, 38, 42, and 18.
Which type of graph would be best to use to show the differences among the numbers of direct-report employees?

a bar graph
a circle graph
a histogram
a line graph

Answers

Answer:

Question?

Step-by-step explanation:

?

Bar Graph

Since the values belong to different divisions, it’s best to use the bar graph because you can compare them side by side.

Convert 22 days to weeks and days.
22 days=
Convert 454 minutes to hours and minutes.
454 minutes =
Convert 4 years and 4 months to months.
4 years and 4 months =
Convert 12 pounds and 13 ounces to ounces.
12 pounds and 13 ounces=

Answers

Answer:

22 days = 3 weeks and 1 day

454 minutes = 7 hours and 34 minutes

4 years and 4 months = 148 months

12 pounds and 13 ounces = 205 ounces

A bookshelf costs $300 normally. Today it is on sale and decreased by 20% However there is
also a 4% sales tax. What is the new cost of the bookshelf?

Answers

Answer:

249.60

Step-by-step explanation:

300 x .8 (100%-20%)=240

240 x .04 (4% sales tax)=9.60

price = 240+9.60=249.60

URGENT!! PLS HELP 16 students are competing an art contest in how many different ways can students finish first second and third

Answers

In 48 ways I just did 16 times 3

can someone help me pls

Answers

Answer:

[tex]x = 55°[/tex]

Step-by-step explanation:

L1 and L2 are parallel, so that the 2 interior angles are equal to 180°.

[tex](2x + 10) + (x + 5) = 180° \\ 2x + x + 10 + 5 = 180° \\ 3x = 165° \\ x = 55°[/tex]

A recipe calls for 21 scoops of sugar. each scoop is 2.5 oz. how many scoops do you need if each scoop holds 3.5 oz of sugar ?

Answers

Answer:

we need 6 scoops of sugar

You come across a box of perfume what should you do Amazon

Answers

take it back to the original owner

A popular internet subscription service for movies, TV series, and documentaries conducts a survey in which it randomly samples 1,000 of its customers. The survey asks the customers which way they use their streaming service the most: (1) watching movies, (2) watching TV series, or (3) watching documentaries. They also ask the level of satisfaction with the service they most often use (on a scale of 0 to 10 with 0 very poor and 10 excellent). Is there statistical evidence for this internet subscription service that the mean satisfaction differs between customers who watch movies, TV series, or documentaries the most?
(a) State the hypothesis for conducting ANOVA. What were the assumptions on which the ANOVA was based?
(b) What F test statistic is needed to reject the null hypothesis at the signficance level 0.05?
(c) Suppose the test statistic is observed at F 0.46 and the p-value equals 0.63. State your conclusion in the context of this problem using the significance level .01.

Answers

b because if a popular internet subscription is 1000 it’s b

the parent cosine function is transformed to create the function m(x) =-2cos(x+π). which graphed function has the same amplitude as function m

Answers

Answer: Graph D

Step-by-step explanation: Got it right on plato

The graph of a function with the same amplitude as m(x) is graph D.

Which graphed function has the same amplitude as m(x)?

The general cosine function is written as:

f(x) = A*cos(kx) + M

Where A is the amplitude, k is the angular frequency, and M is the midline.

In our case:

m(x) = -2*cos(x+π).

The amplitude is -2, which means that the distance between a peak and a trough must be twice the absolute value of the amplitude:

2*|-2| = 4

With this in mind, the only graph that meets this requirement is the graph D.

If you want to learn more about cosine functions, you can read:

https://brainly.com/question/7872492

Given that f(x)=x^3, which equation describes the graph of function g?

a. g(x)=f(x-3)+3
b. g(x)=f(x-3)-3
c. g(x)=f(x+3)+3
d. g(x)=f(x+3)-3​

Answers

Answer:

A or g(x) = f(x − 3) + 3

Step-by-step explanation:

I need help!!! Please

Answers

Answer:

A

Step-by-step explanation:

What is (5b + 3x)(5d-3b)

Answers

The answer is 25bd-15^2+15dx-9bx

What is the measure of angle AXG

Answers

Answer:

180°

Step-by-step explanation:

it's half of a circle

The angle AXG is a straight line. The measure of a straight line would be 180

The measure is 180

HELP ME PLEASEEEEEEEEEEEE

Answers

Answer:

C) (-4,2)

Step-by-step explanation:

It would be in quadrant II, so (-4,2)

A student wants to report on the number of movies her friends watch each week. The collected data are below: 2 14 1 2 0 1 0 2 Which measure of center is most appropriate for this situation and what is its value? (4 points) a Median, 1.5 b Median; 3 c Mean, 1.5 d Mean; 3

Answers

Answer:

The best measure of center for a set of data is the median value.

To find the median list the values from

Smallest to largest:

0, 0, 1, 1, 2,2, 2, 14

Since there is an even number of values, find the middle two numbers, add them together and divide by 2:

1+2 = 3

3/2 = 1.5

The answer is median 1.5

Step-by-step explanation:

plz brain list


What is the circumference of circle P in terms of pi (3.14)

A. 4cm
B. 8 cm
C. 16 cm
D. 64 cm

Answers

I got B if this is right mark as brainliest :)

please what is the interquartile range ?

Answers

Answer:

3.

Step-by-step explanation:

15 - 12 = 3.

The ends of the box are the lower and upper quartiles.

The difference  upper - lower = the interquartile range.

Solve the equation x^2 - 16x+ 54 = 0 by completing the square.
Fill in the values of a and b to complete the solutions.

Answers

Answer:

[tex]x = 8\±\sqrt{10[/tex]

[tex]a =8[/tex]    [tex]b = 10[/tex]

Step-by-step explanation:

Given

[tex]x^2 - 16x + 54 = 0[/tex]

Required

Complete the square

[tex]x^2 - 16x + 54 = 0[/tex]

Subtract 54 from both sides

[tex]x^2 - 16x + 54 -54= 0-54[/tex]

[tex]x^2 - 16x = -54[/tex]

--------------------------------------------------

Take half of - 16

[tex](-16/2) = -8[/tex]

Square the result

[tex](-8)^2 = 64[/tex]

Add the squared result to both sides of the equation

--------------------------------------------------

So, we have:

[tex]x^2 - 16x +64= -54+64[/tex]

[tex]x^2 - 16x +64= 10[/tex]

Expand

[tex]x^2 - 8x - 8x + 64 = 10[/tex]

Factorize

[tex]x(x - 8) - 8(x - 8) = 10[/tex]

Factor out x - 8

[tex](x - 8)(x - 8) = 10[/tex]

[tex](x - 8)^2 = 10[/tex]

Take square roots

[tex]x - 8 = \±\sqrt{10[/tex]

Solve for x

[tex]x = 8\±\sqrt{10[/tex]

We have:

[tex]x = a - \sqrt{b}[/tex]

[tex]x = a + \sqrt{b}[/tex]

By comparing the above with: [tex]x = 8\±\sqrt{10[/tex]

Answer:

Step-by-step explanation:

What is the volume of the cylinder below?

Use 3.14 for pi.

Answers

Answer:

using 3.14 for pi the volume is 502.4

Step-by-step explanation:

If rectangle ABCD is dilated by a scale factor of 3 with a center of dilation at vertex D. what is the perimeter of
A'B'CD?
A)
30 units
B)
60 units
90 units
D)
120 units

Answers

Answer is A 30 units

sum of two numbers is 5 while the difference of the two numbers is 6 find the two numbers​

Answers

Answer:

Suppose the one number be x

And the other number be 6x

The sum of two numbers is 5

x+6x=5

7x=5

X=5/7

Therefore

One number be 5/7

And other number be 6 * 5/7=30/7

If you are helped with my answer pls tag me brianliest I really want it

THANK YOU...............

Two circles are concentric. Two arcs are formed by the same central angle, with arc lengths of 54 and 81 respectively. Which of the following are possible radii for the circles? Select the two correct answers.
23 and 32

12 and 18

32 and 64

40 and 60

14 and 41

Answers

Answer:

i think the answer is 12 and 18

Hello :D help pls? Thanks
What is the area of this partial circle if the radius is 8 inches long? Leave your answer in terms of pi.

Answers

Answer:201.06

Step-by-step explanation:

Please help me please

Answers

Answer:

Option D

Step-by-step explanation:

→ Simplify the option

3 × 3 × 2 × 2 = 36

→ Simplify the other part

3 × 2 × 2 = 12

Determine the radius of a cone that has a volume of 230 ft' and a height of 15 ft.
Round the answer to the nearest tenth.

Answers

Answer:

the formula for finding cone volume is V=πr²× 1/3

Step-by-step explanation:

230=3.14×x²×1/3

we have to solve for X that is our radius

14.8

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