A nurse is investigating the birth weights of non-premature babies. She selects a random sample of 41 such babies, and found a mean weight of 3506.4 grams and a sample standard deviation of
494.2 grams. Find a 95% confidence interval for the mean birth weight of all non-premature babies. Show your calculation for the confidence interval as well as the final confidence interval rounded to one decimal place. Then write a sentence that gives the interpretation of your confidence interval, including the correct units.
Answer:
The 95% confidence interval for the mean birth weight of all non-premature babies is between 3350.4 grams and 3662.4 grams. This means that we are 95% sure that true mean birth weight of all non-premature babies is in this interval.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 41 - 1 = 40
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 40 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0211
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.0211\frac{494.2}{\sqrt{41}} = 156[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 3506.4 - 156 = 3350.4 grams
The upper end of the interval is the sample mean added to M. So it is 3506.4 + 156 = 3662.4 grams
The 95% confidence interval for the mean birth weight of all non-premature babies is between 3350.4 grams and 3662.4 grams. This means that we are 95% sure that true mean birth weight of all non-premature babies is in this interval.
Which expression is equivalent to the series
shown?
Answer:
I think, It is (a) The first oneStep-by-step explanation:
I hope that is useful for you :)
Answer:
The bottom left is the correct expression. The Second part is: 348255
Step-by-step explanation:
on edge, use summation formula for when the lower index isn't equal to 1
If it’s right I will give Brainlyist
Answer:
its F
Step-by-step explanation:
because 1+1 is AxB is 21
The fifth grade art class is making quilts
Answer:
trapazoid
Step-by-step explanation:
A trapezoid is a shape that belongs in the overlapped section of the
Venn diagram.
What are polygons?Regular polygons have all sides the same and that apothem bisects the side in two parts, (provable by symmetry).
Apothem for a regular polygon is a line segment that originates from the center of the regular polygon and touches the mid of one of the sides of the regular polygon.
It is perpendicular to the regular polygon's side it touches.
The fifth-grade art class is making quilts. There are some of the shapes they are putting in their quilts.
A trapezoid is a shape that belongs in the overlapped section of the
Venn diagram.
Learn more about apothem here:
https://brainly.com/question/12090932
#SPJ2
What is the probability of choosing a clubs or a numbered card from a deck of cards? Type your answer as a fraction.
Answer:
13/52
Step-by-step explanation:
The figure below is step 1 for drawing what type of solid
Answer:
hexagonal prism
Step-by-step explanation:
has 6 sides
pls help me giving brainless.
Answer:
five and three ninths
six and seven tenths
nine and one fifth
What is the volume of this container?
Answer:6000 cm3
Step-by-step explanation:You do 20x10x15=3000. Then you do 3000x2= 6000. So your answer will be 6000cm3
An architect is allowed 56 square yards of floor space to add a small bedroom to a house. because of the rooms design in relation to the existing structure, the lenght of the rectangular floor must be 6 yards less than 2 Times the width.Find the lenght and width of the rectangular floor that the architect is permitted
A right rectangular container is 10 cm wide and 24 cm long and contains water to a depth of 14cm. A stone is placed in the water and the water rises 3.4 cm. Find the volume of the stone.
Please and thank you!
Answer:
1356cm3
Step-by-step explanation:
when the stone is dropped in to the water the new height is 17.4cm(14+3.4)
find the volume when the height is 14cm and when the height is 17.4cm
24*14*17.4=4716
24*14*14=3360
then subtract the two volumes
4716-3360=1356cm3
Answer:
816 cm^3
Step-by-step explanation:
First you want to find the volume of the container with the stone, and then without the stone.
The formula for finding the volume of a rectangular container is V= l x w x h
We substitue in:
With stone:
V= 24cm x 10 cm x (14+3.4 cm)
V= 4,176 cm^3
Without stone:
V= 24 cm x 10 cm x 14 cm
V= 3,360 cm^3
Then, you want to subtract the two volumes to get the stone by itself.
4,176 - 3,360= 816 cm^3
Hope this helps!
PS- I think the answer above me got their numbers mixed up, but they had the right idea.
African elephants can eat up to 500 pounds of vegetation in one day. How many pounds of vegetation could an elephant eat in a week?
pls answer its due to tomorrow ;-;
Answer:
they would eat 3500 pounds of food in 1 week
Step-by-step explanation:
its simple math just multiply 500 by 7 and you would get 3500
Solve the polynomial equation = 3
Answer:
lol the is no equation there to solve
Of the 180 students in Mrs. Stanfield's class,
60% are girls On Thursday, 25% of the girls in the
classes dressed up for Wacky Tacky Day. How many
girls dressed up?
Answer:
should be 27
Step-by-step explanation:
60% of 180 is 108
25% of 108 is 27
Answer:
So 153 girls were dressed up
Step-by-step explanation:
Total percent of girls =60 percent + 25 percent =85 percent
now,
= 85÷100×180
= 153
Plz mark me as brainest answer
PLEASE HELP !! ILL GIVE 40 POINTS ; PLUS BRAINLIEST !! DONT SKIP ANSWER.
which one is it? asking for my kid
Answer:
QUESTION:
which one is it?
ANSWER:
Okay, so everyone knows that a straight angle/ full triangle equals up to the sum of 180°, right?
So you take the 180° and subtract the 51°. And you should be getting 129°.
But, since this is a right triangle all I did was subtract 51° from 90° (a right triangle). In the end, the final answer is 39°
Step-by-step explanation:
Hope that this helps you out! :)
If you have any questions please put them in the comment section below this answer.
Have a great rest of your day/night!
Please thank me on my profile if this answer has helped you.
Please help me I'm so bad at math and doing AFDA really doesn't help.. Match each factor to its solution when zero
In the box-and-whisker plot below, what is the 2nd quartile?
a. 25
b. 30
c. 45
d. 50
No bots. No bots. No bots Please, someone please answer this, and No bots!!
Hey please help with this one I promise I’ll mark you brainliest real anwsers tho :3
Answer:
Area is 364
Step-by-step explanation:
A parallelogram's area is equal to base times height. So it doesn't depend on the angle at all, as long as the base and height are constant.
That means that the area of the parallelogram on the left is the same as if it was a rectangle (an extension of the rectangle part on the right).
This brings us to the answer - the area is the same as the area of a 14x26 rectangle.
14*26=364
Alternatively, let's compute the area of the rectangle on the right:
18*14 = 252
And the area of the parallelogram
14 * (26-18) = 14*8 = 112
And the area of the composite figure is 252+112 = 364
b+2.01=5.5
what does B stand for
Answer:
3.49
Step-by-step explanation:
subtract 2.01 from 5.5
14 Emma scored a 76, 90, 83, 95, 88, 96, 94, 96, 98, and 96 on her science tests last quarter. What is the mean absolution deviation of the data? Round to the nearest tenth
Answer:
the answer's 5.6
5.56 but rounded its I think 5.6
don't trust my answer.
Rebecca ran 12 1/4 mile in 2 1/2 hours what was your average speed in miles per hour
Answer:
Your average speed was 3.29 Miles per hour (mph)
Please Consider Marking Brainliest.
Find the 96th term of the arithmetic sequence 1, -12, -25, ...
Answer:
The 96th term of the arithmetic sequence is -1234.
Step-by-step explanation:
first term (a)=1
second term (t2)=-12
common difference (d)= t2-a
d=-12-1
d=-13
96th term (t96)=?
We know that,
t96=a+(n-1)d
t96=1+(96-1)(-13)
t96=1+95(-13)
t96=1-1235
t96=-1234
PLEASE HELP I ONLY HAVE AN HOUR LEFT !!!!!!
Answer:
1,3, and 4
Step-by-step explanation:
Pls help:( me on this
Answer:
D
Step-by-step explanation:
Root square of 3 is 1.732, the root square of Pi is 1.77, the root square of 8 is 2.82 and the estimated value of Pi itself is 3.14.
Find the volume of the composite solid. Round your answer to the nearest tenth.
Answer:
Volume = 646.0 cm³
Step-by-step explanation:
The solid is made up of a hemisphere and a cube
Therefore,
Volume of the composite solid = ⅔πr³ + a³
Where,
r = ½(8) = 4 cm
a = 8 cm
Plug in the values
Volume of the composite solid = ⅔*π*4³ + 8³
= 134.04 + 512
= 646.0 cm³ (nearest tenth)
Molly watches television 3 hours less than Leslie in one
week. Leslie watches television for 72 hours in one week.
How many hours does Molly watch television?
Answer:
69 hours
Step-by-step explanation:
just subtract 72-3 and 69 is the answer
Answer:
Molly watches television for 69 hours
Step-by-step explanation:
72-3= 69
Solve for g.............
Answer:
G = 3
Step-by-step explanation:
Answer:
g=3
Step-by-step explanation:
reverse the whole question:
so all the minus would convert into an addition sign
hope that helps
please mark as brainliest if correct
have a great day/night.
thank you
19NBoli
PLEASEEE HELP ME WITH MATHHHHH GIVING BRAINLYIST
Answer:
4 18/2 is first one second is 1/1 and last is 4/5
Step-by-step explanation:
where is point b on the number line?
Answer:
i dont know but can you pick me brainiest
Step-by-step explanation: