1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vaselesa [24]
3 years ago
13

Assume that population mean is to be estimated from the sample described. Use the sample results to approximate the margin of er

ror and​ 95% confidence interval. Sample​ size, n=64​; sample​ mean, x =69.0 ​cm; sample standard​ deviation, s=4.0 cm
Mathematics
1 answer:
Vikentia [17]3 years ago
3 0

Answer:

ME=1.998 \frac{4}{\sqrt{64}}=0.999 \approx 1

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X =69 represent the sample mean for the sample  

\mu population mean

s=4.0 represent the sample standard deviation

n=64 represent the sample size  

Assuming the X follows a normal distribution

X \sim N(\mu, \sigma)

The sample mean \bar X have the following distribution:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

The margin of error for the sample mean is given by this formula:

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}

Since we have the sample standard deviation we can estimate the margin of error like this:

ME=t_{\alpha/2}\frac{s}{\sqrt{n}}

The next step would be find the value of \z_{\alpha/2}, \alpha=1-0.95=0.05 and \alpha/2=0.025

We can find the degrees of freedom like this:

df=n-1=64-1=63

And we can find the critical value with the following code in excel for example: "=T.INV(0.025,63)" and we got:

t_{\alpha/2}=\pm 1.998

And the margin of error would be :

ME=1.998 \frac{4}{\sqrt{64}}=0.999 \approx 1

You might be interested in
Helppp I will make u a brainlist!!
adelina 88 [10]

Answer:

Answer 2

Step-by-step explanation:

the number are being added together based on their position

3 0
2 years ago
Read 2 more answers
Is this answer correct
Kobotan [32]
Yes, that looks right.
6 0
3 years ago
(100) points!!!! Help please
inysia [295]

Answer:

\displaystyle a_8=142,11\ mg

Step-by-step explanation:

Geometric sequence

Each term in a geometric sequence can be computed as the previous term by a constant number called the common ratio. The formula to get the term n is

\displaystyle a_n=a_1r^{n-1}

where a_1 is the first term of the sequence

The problem describes Georgie took 275 mg of the medicine for her cold in the first hour and that in each subsequent hour, the amount of medicine in her body is 91% (0.91) of the amount from the previous hour. It can be written as

amount in hour n = amount in hour n-1 * 0.91

a)

This information provides the necessary data to write the general term as

\displaystyle a_n=275\ .\ 0.91^{n-1}

b)

In the 8th hour (n=8), the remaining medicine present is Georgie's body is

\displaystyle a_n=275\ .\ 0.91^{8-1}

\displaystyle a_n=275\ .\ 0.91^{7}

\boxed{\displaystyle a_8=142,11\ mg}

6 0
3 years ago
Use mental math for 122+306
poizon [28]
306+122=428
Because you add 6 & 2 in the ones place which is 8.
then 2 and 0 which is 2.
finally 1 and 3 which is 4


4 0
3 years ago
What are some limitations in using a line of best fit drawn on a scatter plot to make predictions?
denis23 [38]

Answer: It is possible to draw different lines to approximate the same data. The line of best fit is only an estimate.

5 0
1 year ago
Other questions:
  • 8/9 divided by 2/9 <br><br> Write the expression in unit form. <br> Please explain.
    14·2 answers
  • What fraction is larger 2/9 or 2/5
    7·2 answers
  • Find the missing expressions... (6+4n) - (8+3n) =? And (4+6n) - (3+8n)=?
    6·1 answer
  • Juana gana $4.00 la hora. En un día en el que ella trabaja de 9:30am a 3:00pm ¿Cuanto ganará?
    15·1 answer
  • Ralph wants to build a rectangular deck with a predefined area of 66 feet squared. One side of the deck will be 5 feet longer th
    13·1 answer
  • If f(x) = 2x^2 + 4x + 7, find f'(-5), using the definition of derivative. f'(-5) is the limit as x → -5
    6·1 answer
  • PLS help ASAP I DONT have time to answer this, it also detects if it’s right or wrong.
    7·1 answer
  • Task 5: Fill in the table so that every row and every column sums to 0. <br> I need help I’m slow
    10·2 answers
  • Helppp plzz will mark brainleast
    13·1 answer
  • Which of the following rational numbers is equal to 2 point 8 with bar over 8 ? twenty two over nine twenty four over nine twent
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!