An educational psychologist wishes to know the mean number of words a third grader can read per minute. She wants to make an estimate at the 95% level of confidence. For a sample of 582 third graders, the mean words per minute read was 24.1. Assume a population standard deviation of 3.7. Construct the confidence interval for the mean number of words a third grader can read per minute.

Answers

Answer 1

Answer:

The 95% confidence interval for the mean number of words a third grader can read per minute is (23.8, 24.4).

Step-by-step explanation:

We have to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a p-value of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96\frac{3.7}{\sqrt{582}} = 0.3[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 24.1 - 0.3 = 23.8

The upper end of the interval is the sample mean added to M. So it is 24.1 + 0.3 = 24.4.

The 95% confidence interval for the mean number of words a third grader can read per minute is (23.8, 24.4).


Related Questions

Susan reads a book at a rate of 1 page every 3 minutes. if her reading rate remains the same, which method could be used to determine the number of minutes for her to read 18 pages ?

Answers

Answer:

54

Step-by-step explanation:

okay so the method it sounds like is multiplication so first you would skip count by 3's like this 3, 6, 9,12,15,18,21,24,27,30  and while your doing that count on a paper or anything you can wright on because you don't have 18 fingers anyway when you mark your 18th tali mark then if you remember or if you wrote down the numbers  then that's your answer

Bill wanted to know how many times students at his middle school go to the beach each week during the summer. He surveyed every other middle school student at the mall last Saturday. After analyzing the data collected, Bill determined that the average student from his middle school goes to the beach about 2.4 times a week during the summer. What error did he make in the survey?

Answers

The survey was intended for Bill's middle school during the summer. The

survey was administered to students of other schools on a Saturday.

The type of error is the selection bias error.

Reasons:

The type of error made is a non sampling error, given that the target of the

study is the number of times in a week students at his middle school

attend the beach during the summer.

The errors are; Selection bias error.

The given that the students survey are not from his middle school.The survey was carried out once on a Saturday, where the target was during the summer.

The selection bias error is a type error that is due to the researcher

chooses what to study, such that the participant have common

characteristics rather than being random.

Learn more about selection bias error here:

https://brainly.com/question/13727092

what percent of 75cm is 5cm​

Answers

Answer:

6.67%

Step-by-step explanation:

5 / 75 = 0.066667

(0.066667)(100) = 6.67%

Approximately what portion of the box is shaded blue?
A.3/5
B.2/3
C.9/10

Answers

Answer:

I think the answer is C.....

HELP I'LL GIVE BRAINLY​

Answers

Answer:

code is 4163

Step-by-step explanation:

x-35=27;x=64

-96=-8x;x=12

6=x/4 +2;x=16

76-3x=-29; x=31

code is 4163

Answer:

at least 8

Step-by-step explanation:

im from k12

velocity question ht=2+31t-16tsquared​

Answers

Answer:

Step-by-step explanation:

If I am not mistaken the equation is [tex]S(t) = 2 + 31t - 16t^{2}[/tex]

Then in that case V(t) = S'(t) = 31 - 32t

V(t)=0 gives the time when the stone hits the ground.

31 - 32t = 0

32t = 31

t = 31/32 = 0.96875s

HELP!!! PLZZ THIS IS SO FRICKIN HARD!

Answers

Answer:

14.3%

Step-by-step explanation:

1/7=0.142857142857

round that to the nearest tenth and that is 0.143

make it a percentage and it is 14.3%

two functions are shown below.
f(x)=4^x-62
g(x)=x^2-2x+5

evaluate g(-2)+f(3)

Answers

Answer:

...

Step-by-step explanation:

2/3+7/15
Help pls
no scam​

Answers

[tex] \boxed{ \huge \bf \: Solution:—}[/tex]

[tex] \sf \longmapsto \dfrac{2}{3} \ + \dfrac{7}{15} [/tex]

[tex]\sf \longmapsto \: \dfrac{10}{15} + \dfrac{7}{15} [/tex]

[tex]\sf \longmapsto \: \dfrac{10 + 7}{15} [/tex]

[tex]\sf \longmapsto \dfrac{17}{15} [/tex]

Decimal—1.13333

[tex]\boxed{\huge\bf{Answer:—}}[/tex]

[tex]\bf \dfrac{17}{15} [/tex]

OR

[tex]\bf{1.13}[/tex]

Answer:

17/15 or 1 2/15

Step-by-step explanation:

2/3 + 7/15 =                       The common denominator is 1510/15 + 7/15 =   17/15 = 1 2/15

A restaurant is making hamburgers. The cooks use 2/3 pounds of beef for each hamburger. If the cooks have 44 and 2/3 pounds of beef,how many hamburgers can they make?


Answers

Answer:

67 hamburgers

Step-by-step explanation:

In order to find the answer to this question, you must do the following equation:

44÷2/3. The answer to this is 66.

Then, you add 1 to 66, because 2/3 divided by 2/3 = 1!

So, the cook can make 67 hamburgers.

A baby is 3 weeks and 4 days old. What it's is age in days?​

Answers

Answer:  25 days

Work Shown:

1 week = 7 days

3 weeks = 21 days .... multiply both sides by 3

3 weeks + 4 days = 21 days + 4 days = 25 days

Emily borrows £580 from a bank at an interest rate of 896 per year.
She will give the money back after 4 years.
How much money will Emily have to pay back?

Answers

Answer: £4,164

Step-by-step explanation: multiply 896 by 4 to get £3,584 next add 580 to 3,584 to get £4,164

Answer: 4,164

Step-by-step explanation: I am confused if the 896 is a percent or the money she owes every year, now here is the explanation.

Emily took the £580 and after the 4 years she owes 896*4 = £3,584 plus the original £580 which is £4,164

If it it without the original £580 then the answer is 896*4 = £3,584

If that is not correct then i am sorry

Find the value of x .
K
M
(2x – 10) (2x + 40)º
-
N

Answers

Answer:

?????????????????????????

need help 5 stars and good rating for math problem

Answers

Answer: the 20 ounce box cost less per ounce

Step-by-step explanation:

Larry is using an online calculator to calculate the outputs f(n) for different inputs n. The ordered pairs below show Larry's inputs and the corresponding outputs displayed by the calculator: (1, 5), (2, 9), (3, 13), (4, 17) Which of the following functions best represents the rule that the calculator uses to display the outputs?

Answers

Answer: The answer is c. f(n)=4n+1

A chef prepared 100 plates of shrimp. There were 8 shrimp on each plate. How many shrimp did the chef prepare?

Answers

Answer:

800 shrimp

Step-by-step explanation:

100 plates of shrimp

8 shrimp on each plate

100 × 8 = 800

= 800 shrimp were prepared by the chef

Hope this helps.

what does a discrete quantitative variable mean?

Answers

Answer:

A discrete quantitative variable is one that can only take specific numeric values (rather than any value in an interval)

Step-by-step explanation:

A discrete quantitative variable is one that can only take specific numeric values (rather than any value in an interval), but those numeric values have a clear quantitative interpretation. Examples of discrete quantitative variables are number of needle punctures, number of pregnancies and number of hospitalizations.

E varies directly with G. When G is 6, E is 10. Find the value of G when E is 18

Answers

Answer: multiply 6 by 3 and 10 by 3

Step-by-step explanation:

G = 10.8

creds to sqdancefan

Evaluate the expression
“-8.56x + 31.7 for x= 75.6”

A. -615.436
B. 614.436
C. 615.436
D. -614.436

Answers

Answer:

Substitute

Step-by-step explanation:

x=75.6

-8.56(75.6) + 31.7=-615.436

Answer: -615.436

Chris is standing on a cliff that is 3 feet above sea level. He dives into the water and descends to a depth 10 feet below the surface of the sea. On a number line, what is the distance between the two elevations?
7
8
13
14​

Answers

13
Use a number line to help.

Answer:

C

Step-by-step explanation:

Cumulative Exam 2021

Merry Christmas <3

P.S. Have a good winter break :)

The diameter of a circle fits around the circle ______ times.

Answers

Answer:

it fits around [tex]\pi[/tex] times which is approximately 3 times

Step-by-step explanation:

[tex]\pi[/tex]

The directions for Clean-All to mix 1 3/8 cups of cleaner with 2 2/5 cups water. Write a COMMON RATIO as
CLEANER to WATER

Answers

Answer:

Step-by-step explanation:

The Mega Clean mixture with 3 1/2 per gallon has more cleaner in it. The first mixture has .75 oz per quart. The second mixture has .875 oz per qt.

HOPE THAT HELP YOU

The height of a door is 1.8 feet longer than it's with its front area is 1496.9 ft.² find the width and height of the door

Answers

The width of the door is [tex]37.8ft[/tex] and the height of the door is [tex]39.6ft[/tex]

Let

[tex]A=\text{the front area of the door}\\h=\text{the height of the door}\\w=\text{the width of the door}[/tex]

From the question

[tex]A=w\times h=1496.9\\h=w+1.8[/tex]

We are to find both the width and the height of the door. To proceed, we have to eliminate the height, and solve for the width. Later, we calculate the value of the height from the width.

Eliminate the height;

[tex]A=w\times h\\A=w\times(w+1.8)\\w^2+1.8w-A=0[/tex]

substitute the value of the front area into the equation and solve for the width

[tex]w^2+1.8w-1496.9=0\\w\approx 37.8\text{ or }w\approx-39.6[/tex]

the width can only take positive value. Now, to get the height

[tex]h=w+1.8\\=37.8+1.8\\=39.6[/tex]

the width and height of the door are [tex]37.8ft[/tex] and [tex]39.6ft[/tex] respectively.

Another example can be found in the link: https://brainly.com/question/18625465

The area of a circular cake plate is 1520 cm?. Find the diameter of the plate to the nearest cm

Answers

Answer:

Hola

tengo una pregunta

de que país

eres? ._.

solve the equation 5-x=8

Answers

Answer:

x = -3

Step-by-step explanation:

1. 5 - x = 8

2.   +x    +x

3. 5 = x + 8

4. -8       -8

5. x = -3

Rearrange the terms
5 - x = 8
-x + 5 = 8


Subtract 5 from both sides
-x + 5 = 8
-x+5-5 = 8-5

subtract the numbers ( simplify )
-x = 3


divide both sides
-x = 3
-x/-1 = 3/-1


simplify
x = 3/-1
x = -3





So therefore, your answer is x = -3

I need help asap! Pls :)

Answers

Answer:

x = 18

Step-by-step explanation:

#3
Determine whether the ratios are equivalent.
5:2 and 30: 12
o equivalent
not equivalent

Answers

Answer:

yes

Step-by-step explanation:

Ratios are equivalent if they are multiples or divisors of each other.

5 : 2 ( multiply both sides by 6 )

= 30 : 12

or

30 : 12 ( divide both sides by 6 )

= 5 : 2

Thus 5 : 2 and 30 : 12 are equivalent ratios

Answer:

equivalent

Step-by-step explanation: 5 x 6 = 30      2 x 6 = 12

y over 11 =8 .solve for y

Answers

Answer:

y=88

Step-by-step explanation:

uhh…maybe 88? Btw if I’m wrong sorry I’m really tired and just tryin to help

what is a measurement for the angle pictured

Answers

73° hope this helps

Plz help me well mark brainliest!….

Answers

I don’t know the awnser but good luck have a great day hope :)
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