Answer:
The sampling distribution of sample proportion is approximately normal, with mean 0.62 and standard deviation 0.0485.
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.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
62% of those people get some relief from taking ibuprofen (true proportion).
This means that [tex]p = 0.62[/tex]
Sample of 100
This means that [tex]n = 100[/tex]
A. (4 pts.) Determine the sampling distribution of sample proportion. Also, find the mean and standard deviation of the sampling distribution.
By the Central Limit Theorem, it is approximately normal with
Mean [tex]\mu = p = 0.62[/tex]
Standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.62*0.38}{100}} = 0.0485[/tex]
33
3
Solve the proportion.
р
28
Answer:
p = 308
Step-by-step explanation:
You sell 500 shares of Coldwater Creek stock (CWTR). You purchased the stock at $2.98 per share and sold it at $0.88
per share. What was the percent decrease in the stock? Round to the nearest whole percent.
Answer:
70%
Step-by-step explanation:
Given that,
Cost price of the stock = $2.98 per share
Sold price of the stock = $0.88 per share
We need to find the percent decrease in the stock. It can be done as follows :
[tex]\%=\dfrac{2.98-0.88}{2.98}\times 100\\\\=70.46\%[/tex]
or
= 70%
So, the decrease in the stock is equal to 70 %.
My cousin made 50 muffins and brought 3/5 of them to work how many did she leave at home?
Answer:
20
Step-by-step explanation:
To find how many she took to work you do (3/5) * 50 which is equal to 30
That means she took 30 to work leaving 20 muffins left at home.
Hurry ASAP) Graph the system of equations. f ( x) = x^2 - 5x + 7 and g(x)=2x + 1. Which statements are true about the solutions to the system of equations? Select each correct answer. ( I accidentally clicked on option A but I don't know the answer at all). Will Mark Brainliest.
Answer:
N/A
Step-by-step explanation:
Get the Desmos graphing calculator app. it is very helpful when graphing and needing to be able to compare functions
FOR BRAINLSIT!!!
A
B
C
D
Answer:
The 2nd option is correct
Step-by-step explanation:
The only numbers on a dice greater than 4 are 5 and 6, and we want to get the color blue, so the 2nd option is correct.
Answer:
Imma have to say B but I'm not sure
what is 8x9-6+7(5-4x8)
Answer:
8 x 9 − 28 x 8 + 29
Step-by-step explanation:
What is the total area of the composite figure below?
14.5
cm2
6 cm
A
12 cm 11
3 cm
2.5 cm
12 cm
I need help with this I will mark you
Answer: A
Step-by-step explanation:
who is the best fnf mod character mine is sarvenette and ruv
Answer:
same my fav
Step-by-step explanation:
have a good day!!
Answer:Kapil or Matt
Step-by-step explanation: I would say Kapil better because of the DDR pad and his last Song Beathoven replicates beethoven virus. Matt Wiik 2 is great but can't beat
Irene is making bags of trail mix for hiking club. She will use 22 ounces of walnuts, 11.2 ounces of
almonds, and 12.3 ounces of cashews. This amount makes 25 bags of trail mix. How many
ounces are in each bag?
Please help :/ if i dont finish theses questions i will go to summer school & i dont wanna go there
Answer:
In each bag there will be 1.82 ounces of mixture.
Step-by-step explanation:
Since Irene is making bags of trail mix for hiking club, and she will use 22 ounces of walnuts, 11.2 ounces of almonds, and 12.3 ounces of cashews to make 25 bags of trail mix, to determine how many ounces are in each bag you must perform the following calculation:
(22 + 11.2 + 12.3) / 25 = X
45.5 / 25 = X
1.82 = X
Thus, in each bag there will be 1.82 ounces of mixture.
TIMED WILL GIVE BRAINLEIST HELPPPPPPPPPPPP
Answer:
3.13π
Step-by-step explanation:
One plane is a quarter of a semi-circle, since the semi-circle is split into four equal parts. One quarter of a semicircle is one eighth of a circle, so find the are of a circle with diameter 10ft, and divide by 8:
Diameter is half the radius, so the radius is 5ft.
Area of a circle = π(radius)²
=5²π
=25π.
We're looking for an eigth of the circles area so: 25π/8 = 3.125π≈3.13π
Which graph represents an exponential function?
Answer:
The second one
Step-by-step explanation:
If you know about hyper and Para bolas then the second one also know as a frowny fave parabola is a function
Need some helps fast like right now
65+ ? -15=65 Find missing number
Answer:
65 + 15 - 15 =65
Step-by-step explanation:
pls give brainlist if this was helpful ^^
Find the value of x in the triangle shown below.
1
13
2
12
Choose 1 answers
Answer:
x = 5
Step-by-step explanation:
a² + b² = c²
x² + 12² = 13²
x² + 144 = 169
x² = 169 - 144
x² = 25
[tex]\sqrt{x^2} =\sqrt{25}[/tex]
x = 5
Evaluate 6 + x when x = 3
Answer:
6+3 = 9
Glad I could help :)
I need help please ????!!!
9. A resident drank three ounces of apple
juice, three ounces of coffee, and one
ounce of cream today. What is the intake
in cubic centimeters?
Answer:
Step-by-step explanation:
Total ounces = 3+ 3+ 1= 7 ounces
1 Ounce = 29.574 cubic centimetres
7 ounces = 207.015 cubic centimetres
Complete the statement. Enter your answer in the box. Use fraction strips or number lines to help.
Answer:
you did not post a question?
Step-by-step explanation:
A shopping center includes a grocery store and a drug store. One afternoon, a total of 200 people visited the shopping center, and 121 shopped at the grocery store, 91 shopped at the drug store, and 33 shopped at both businesses. a) How many people shopped at the grocery store or the drug store? b) How many people shopped at neither the grocery store nor the drug store?
9514 1404 393
Answer:
a) 179
b) 21
Step-by-step explanation:
When making a Venn diagram for a problem like this, it often works well to fill in the "both" quantity first. Then that is subtracted from the number for grocery to find "grocery only", and from the number for drug store to find "drug store only." The sum of the numbers inside the circles (88+33+58) is the number who shopped at the grocery or drug store. The number who shopped at neither is the difference between this number and the total number of shoppers (200-179).
FIND X. PLEASE HELP............. ..........!
Answer:
x=23
Step-by-step explanation:
what is 26 x4 hurry ii need it nowwwww
the answer is 104 hope it helps
Consider the circle below.
B
(7w - 4)º
A
C
(5w + 20)
D
Determine mAB.
Answer: d
Step-by-step explanation:
Tom sells the hot dogs for £3.15 each
Answer:
Then what???
Step-by-step explanation:
the product of 23
and 20
Which expression is equivalent to (4 + 3i) - (8 - 61)?
A -4 -3i
O
B. –4 +9i
C. 12 + 9i
D. 12 - 31
Answer:
Its C
Step-by-step explanation:
Find the value of x. Round to the
nearest tenth.
im almost done with this hw. plz help!!! give explanation if you actually know the answer so ik u dont just want points
Answer:
B
Step-by-step explanation:
That's the only answer that represent the 25% prize rate
which dimensions describe a rectangular prism with a volume of
Answer:
Square ⬛ ormmmfjdixxjx
The number of pets owned by eight classmates is shown below:
1, 3, 2, 2, 1, 3, 3, 1
Part A: What is the mean of the data? Show your work. (4 points)
Part B: Use your answer from Part A to calculate the mean absolute deviation for the data. Show your work. (6 points)
Answer:
Part A: Mean = 2
Part B: 6
Step-by-step explanation:
Part A: Add all the data piece's and divide by total value
Part B: Subtract the mean from each piece of data in the dat set and find the absolute value of each answer. 1+1+0+0+1+1+1+1 = 6
The mean of the data of the number of pets owned by eight classmates is 2 and the mean absolute deviation for the data is 0.75.
What is mean of data set?The mean of the data is the average value of the given data. The mean of the data is the ratio of the sum of all the values of data to the total number of values of data.
The number of pets owned by eight classmates is shown below:
[tex]1, 3, 2, 2, 1, 3, 3, 1[/tex]
The total number of pets are 8. The mean is the ratio of sum of all the values to the total values. Thus,
[tex]m=\dfrac{1+ 3+ 2+ 2+1+3+3+1}{8}\\m=\dfrac{16}{8}\\m=2[/tex]
The mean absolute deviation (MAD), can be calculate by adding difference of each data from mean and then divided by number of terms.
[tex]\text{MAD}=\dfrac{(1-2)+ (3-2)+ (2-2)+ (2-2)+(1-2)+(3-2)+(3-2)+(1-2)}{8}\\\text{MAD}=\dfrac{6}{8}\\\text{MAD}=0.75[/tex]
Thus, the mean of the data of the number of pets owned by eight classmates is 2 and the mean absolute deviation for the data is 0.75.
Learn more about the mean here;
https://brainly.com/question/14532771
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