Phonics is an instructional method in which children are taught to connect sounds with letters or groups of letters. A sample of 141 first-graders who were learning English were asked to identify as many letter sounds as possible in a period of one minute. The average number of letter sounds identified was 34.09 with a standard deviation of 23.44
Construct a 90% confidence interval for the mean number of letter sounds identified in one minute. Round the answers to at least two decimal places A 90% confidence interval for the mean number of letter sounds identified in one minute is:______

Answers

Answer 1

Answer:

A 90% confidence interval for the mean number of letter sounds identified in one minute is: (30.84, 37.34).

Step-by-step explanation:

We have that 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 - 0.9}{2} = 0.05[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.

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 = 1.645\frac{23.44}{\sqrt{141}}[/tex]

[tex]M = 3.25[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 34.09 - 3.25 = 30.84.

The upper end of the interval is the sample mean added to M. So it is 34.09 + 3.25 = 37.34.

A 90% confidence interval for the mean number of letter sounds identified in one minute is: (30.84, 37.34).


Related Questions

What is the diameter of the circle?
12 inches
A
6 inches
B
24 inches
с
26 inches
D
48 inches

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You need to include the image of the question it doesn’t make sense if

Use formulas to find area

Answers

120.08 u just had to multiply

Answer:

120.08

Step-by-step explanation:

15.8 x 7.6

-> 120.08 [tex]m^2\\[/tex]

In general, the larger a sample is: a. The more difficult it becomes to avoid atypical cases. b. The greater the standard deviation becomes. c. The smaller the standard deviation becomes. d. The more closely it represents the population. e. The more likely it is that it will be biased.

Answers

Answer:

d

Step-by-step explanation:

Larger samples more closely resemble the population from which they come.

Think of the difference between sampling hundreds of people from a town, perhaps asking them if they've ever ordered fast food.  If you go to McDonald's and ask customers as they come out, you wouldn't expect those answers to represent the entire population of the town, right?

The ratio of yellow blocks to red blocks is 3:5, and the ratio of blue blocks to red blocks is 7:2.
What is the ratio of yellow blocks to blue blocks?

Answers

Answer is the ratio 6:35

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

Explanation:

The ratio of yellow to red is 3:5. This could mean we have any of the following situations (pick one):

3 yellow, 5 red6 yellow, 10 red9 yellow, 15 red

and so on. In general, we would have 3x yellow blocks and 5x red blocks. The ratio 3x:5x reduces to 3:5 when dividing both parts by x. The x is some positive whole number. The order is important because yellow must be listed first, then red second.

The same idea applies to the other ratio 7:2, which is the blue to red. In that case, we could have...

7 blue, 2 red14 blue, 4 red21 blue, 6 red28 blue, 8 red35 blue, 10 red42 blue, 12 red

and so on. Notice that items in bold (in each list) have "10 red" as part of it. This is directly from the fact we multiply the 5 and 2 to get 5*2 = 10.

So we can connect the two ratios to have:  6 yellow, 10 red, 35 blue.

The ratio of yellow to blue is 6:35. This is the final answer. We cannot reduce this ratio any further due to 6 and 35 having no common factors other than 1. It's the same as saying the fraction 6/35 can't be reduced further.

Jamie wants to make a playlist with 8 songs on her iPod. She has 50 songs to choose from, including 15 songs from Maroon 5. Janine's iPod won't allow any song to appear more than once in a playlist. How many 8-song playlists contain no songs by Maroon 5? Suppose Janine decides to let her iPod select an 8-song playlist at random.

Answers

Answer:

the answer is that she would have to pick 4and let the iPod pick 4

Cassie is going to dinner and a movie with some friends. The movie starts at 7:30 p.m. The restaurant
is 15 minutes from the theater, and dinner will take one hour. If Cassie
lives 20 minutes from the restaurant, what time should she leave her house?

Answers

Answer:5:55pm

Step-by-step explanation:

7:30-0:20=7:10-1:00=6:10-0:15=5:55pm

What is the length of a 50-inch TV that has a width of 27 inches?


What is the area of this TV?

Answers

50 x 27 = 1350 yes ok

which of the following functions has a vertex of (-4,3) and a line symmetry of x= -4?

a) f (x) = 2( x + 4)² -3
b) f (x) = 2( x - 4)² +4
c) f (x) = 2( x + 4)² +3
d) f (x) = 2( x - 3)² +4
e) f (x) = 2( x - 4)² +3

Answers

Answer:

answer: d

Step-by-step explanation:

Answer is d step by step explanation

QUICK PLEASE HELP!!
I WILL MARK BRAINLIEST!!!

Answers

Sorry to do this to you but I need to answer a question so I just went to a random one hope you get the answers
The correct answer is D ~ 8448 cubic units

In London today, twice the low temperature was less than three times
the low temperature minus ten. In interval form, what are the possible
temperatures?

Answers

I need more information

Zahra runs an activity club
She needs 2 members of staff for every 15 people at the activity club.
There will be 90 people at the activity club on Monday
Zahra has 10 members of staff available for Monday.
Does Zahra have enough staff available for Monday?
(3)​

Answers

Answer:

No, Zahra does not have enough staff available

Step-by-step explanation:

Given

[tex]Ratio = 2 : 15[/tex] --- staff to people

[tex]Staff = 10[/tex]

[tex]People = 90[/tex]

Required

Are there enough staff?

Start by representing the data as a ratio

[tex]Ratio = Staff : People[/tex]

So, we have:

[tex]Ratio = 10 : 90[/tex]

Divide by 10

[tex]Ratio = 1 : 9[/tex]

Multiply by 2

[tex]Ratio = 2 : 18[/tex]

This means that, she has 2 members of staff for every 18 people (instead of the expected 2 to 15 people)

Hence, Zahra does not have enough staff available

What steps to get the principle of a 30 year loan at 5.5%?

Answers

Multiply 30 -- the number of years of the loan -- by the number of payments you make each year. For example, 30 X 12 = 360. You are making 360 payments over the course of the loan. Divide your mortgage interest rate by your total payments.

4 x 32 – 3+5 x 2 =
el

Answers

Answer:

4x32-3+5x2=

128-3+5x2

128-3+10

128+7=

135

LUVP is an example of:

Answers

It’s an example of a central angle

Each week, the price of oranges at the farmer's market increases by 20%.

The price of oranges this week is $4.50.

What was the price last week?

Will give brainliest to correct answer.

Answers

The price of orange last week was $3.75

An equation is used to show the relationship between two or more numbers and variables.

The price of oranges increases by 20% each week.

The price of oranges this week is $4.50. Hence:

Price of orange last week (x) is given by:

4.5 = x + 20% of x

4.5 = x + 0.2x

1.2x = 4.5

x = 3.75

The price of orange last week was $3.75

Find out more on equation at: https://brainly.com/question/24868934

If x
[tex] x = \sqrt[?]{5 } + \sqrt{3} + x + \frac{1}{?x} = [/tex]

Answers

Answer:

bh

Step-by-step explanation:

34

Answer:

10 − 3 x = 2 x + 5 \sqrt{10-3x}=\sqrt{2x+5} 10−3x ​=2x+5 ​square root of, 10, minus, 3, x, end square root, equals, square root of, 2, x, plus, 5, end square root.

Step-by-step explanation:

4a+(-8), if a= -2 PLZ ANSWER ASAP

Answers

Answer:

-16

Step-by-step explanation:

4a+(-8)

4(-2)+(-8)

-8+(-8)

= - 16

1) Simplify the product using the distributive property.
(x-2)(x+4)

Please help me answer this question

Answers

x^2 + 2x -8
Hope this helps :))

solve the exponential equation 2^2x +2^x+1 -8​

Answers

Answer: can you tell me what the x= to because I can’t solve it like that if you give me what the x= to I tell you the answer

Step-by-step explanation:

Answer:

2^x+4^x-7

Step-by-step explanation:

In circle M with m Round to the nearest hundredth.

Answers

We know that the area of a sector is given by:

[tex]A = \dfrac{\pi r^2\alpha}{360}[/tex]

Where α is the angle in degrees and r is the radius. We have:

r = 9α = 82°

Evaluating:

[tex]A = \dfrac{\pi r^2\alpha}{360} = \dfrac{\pi(9)^2\cdot 82}{360} = 57.96\ u^2[/tex]

A A rug is 6 feet long and w feet wide. Which expression
does NOT represent the perimeter of the rug in feet?
Circle the correct answer.

A) 2(67/8+w)

B) 2w-13 6/8

C) 2(67/8+w

D) 6 7/8+ w+ 6 7/8 + w

Answers

Answer:C

Step-by-step explanation:

Answer:

2(6 7/8) + w

Step-by-step explanation:

Disclamer: NOT 2(6 7/8 + w)

***Any links will be reported***
****i will mark brainliest****​

Answers

Answer:

hambuger cheesebuger big mac whooper

Step-by-step explanation:

Answer:

This is easy. Just to help you, and not necessarily cheat, it already tells you what the missing numbers are. So if a is 3, you can just go 2 x 3 x 3. when numbers are together like this, or letters, you multiply. (3(4), or 2a) You do that with the rest of your equations, and you will get your answers. But if this isn't what you having a problem with, then just tell me.

ax - 8 = x + 2
If x = 2 on the equation above, what is the value of a?

Answers

Answer:

a=2

Step-by-step explanation:

ax-8=x+2

when x=2

2a-8=2+2

2a=4+8

2a=12

a=12/2=6

The value of a is 6

Explanation:
6*2-8 = 2+2

HELP ME PLEASEEEEEEEEEEEEEEEEEEE

Answers

Answer:

heyy matee...

see

Vertices (V) = 8

Faces (F) = 6

Edges (E) => F + V - E = 2 (EULER'S FORMULA)

so 6 + 8 - 2 = E => E = 12

now just look at options

and however its a common thing that if Vertices are 8 and Faces are 6 and Edges are 12 then it is cube or cuboid

and another name of cuboid is rectangular prism ;)

hence answer is option c - rectangular prism

brainliest possible ?

number 58 i need help with

Answers

Answer:

y = -45x + 13

Step-by-step explanation:

The equation is *** y = [tex]-5x^{2}[/tex]  - 20x +13 ***

First: you have to look at [tex]-5x^{2}[/tex]  which would equal -25x

Second: you have take the -25x and put into the equation... y = -25x - 20x +13

Third: You have subtract -25x - 20x which equals -45x

Lastly: Now you have y = -45x + 13 and since 13 does NOT have a variable like -45x does, you then know that you have finished the equation

The person above me is right G ood day to you!!

12 ft 12 ft 10 ft J. 12 ft 10 ft 12 ft ​

Answers

Answer:

What is your question?

Step-by-step explanation:

The perimeter of the figure below is 152.6 ft. Find the length of the missing side.

Answers

Answer:

13.4

Step-by-step explanation:

13.4 is the answer because a perimeter is the total distance around the shape

when you take 152.6 and subtract all of the different sides your left with the length of the last side

152.6 - 13.1 - 13.1 - 9.3 - 54.2 - 9.3 - 27.1 - 13.1 = 13.4

what is quartile 1 and 3

Answers

Answer:

Q1 = 2

Q3 = 3

I think that's the answer

Hope this helps! (°◡°♡).:。

Answer:

Q1 is 2 Q2 is 3

Just cut the list of number into quarters

A convenience store purchased a magazine and marked it up 100% from the original cost of $2.30. A week later, the store placed the magazine on sale for 50% off. What was the discount price?

Answers

Answer:

$2.30

Step-by-step explanation:

The original price is $2.30 an it goes up by 100% which means another 2.30. So add 2.30 and 2.30 together you get 4.60 now divide that by two since the magazine is 50% off and you get the original price which was 2.30

The discount price would be an amount of $2.30.

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of 100.

For example, If Misha obtained a score of 67% on her exam, that corresponds to 67 out of 100.

The convenience store bought a magazine for $2.30 and increased the price by 100%. A week later, the retailer reduced the price of the magazine by half.

As per the given situation, the required solution would be as:

The original price is $2.30, then it increases by 100%, or another $2.30. So add 2.30 and 2.30 to get 4.60, then split that by two because the magazine is 50% discounted to obtain the original price of 2.30.

⇒ $2.30 + $2.30

⇒ $4.60

⇒ $4.60 / 2

⇒ $2.30

Therefore, the discount price would be amount of $2.30.

Learn more about the percentages here:

brainly.com/question/24159063

#SPJ2

You have $10. If you and 3 of your friends want to go to the movies, what does the ticket price need to be for you to be able to buy all 4 tickets?

Answers

Answer:

$2.50

Step-by-step explanation:

$10/4 = $2.50

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