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
77julia77 [94]
3 years ago
5

A random sample of college basketball players had an average height of 63.45 inches. Based on this sample, (62.1, 64.8) found to

be a 96% confidence interval for the population mean height of college basketball players. Select the correct answer to interpret this interval.a. We are 96% confident that the population mean height of college basketball palyers is 63.45 inches.b. A 96% of college basketball players have height between 62.1 and 64.8 inches.c. There is a 96% chance that the population mean height of college basketball players is between 62.1 and 64.8 inches.d. We are 96% confident that the population mean height of college basketball players is between 62.1 and 64.8 inches.
Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
4 0

Answer:

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

And for this case the confidence interval is given by (62.1; 64.8)

Now we need to interpret this confidence interval and we can conclude this:

d. We are 96% confident that the population mean height of college basketball players is between 62.1 and 64.8 inches.

And the reason of this is because the principal interest when we create a confidence interval is in order to estimate the population mean \mu at some level of confidence, and for this reason we can't asociate this to a chance or a probability.

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=63.45 represent the sample mean

\mu population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

And for this case the confidence interval is given by (62.1; 64.8)

Now we need to interpret this confidence interval and we can conclude this:

d. We are 96% confident that the population mean height of college basketball players is between 62.1 and 64.8 inches.

And the reason of this is because the principal interest when we create a confidence interval is in order to estimate the population mean \mu at some level of confidence, and for this reason we can't asociate this to a chance or a probability.

You might be interested in
Find the critical value z Subscript alpha divided by 2 that corresponds to the given confidence level. 80​%
Neporo4naja [7]

Answer:

Conf= 0.80

With the confidence level we can find the significance level:

\alpha =1-0.8=0.2

And the value for \alpha/2=0.1. Then we can use the normal standard distribution and we can find a quantile who accumulates 0.1 of the area on each tail and we got:

z_{\alpha/2}= \pm 1.28

Step-by-step explanation:

For this problem we have the confidence level given

Conf= 0.80

With the confidence level we can find the significance level:

\alpha =1-0.8=0.2

And the value for \alpha/2=0.1. Then we can use the normal standard distribution and we can find a quantile who accumulates 0.1 of the area on each tail and we got:

z_{\alpha/2}= \pm 1.28

4 0
3 years ago
Let u = <-3, 4>, v = <8, 2>. Find u + v.
Liono4ka [1.6K]

Answer:

WHAT SUBJECT IS THAT? TELL ME WHAT SUBJECT AND I'LL ANSWER IT PROPERLY

7 0
3 years ago
Suppose EG=3​, EB=8​, A(F)=7​, m∠EBG=23​, m∠EGF=32​, and m∠CAE=51. Find m∠CAF.
ASHA 777 [7]

Answer:

m∠CAF is 28°

Step-by-step explanation:

The given parameters are;

EG = 3, EB = 8, A_F = 7, m∠EBG = 23°, ∠EGF 32°, and m∠CAE = 51°

From the diagram, we have;

m∠EBG = m∠EAD ;                {}                                    Given

Therefore, m∠EAD = 23°  

m∠CAE = m∠CAF + m∠EAD {}                                     Angle addition postulate

Therefore, we have;

51° = m∠CAF + 23° {}                        

m∠CAF = 51° - 23°                            {}              

m∠CAF = 28°

8 0
3 years ago
Show the formula for finding the area of a triangle. Then find the area of a right triangle with a base of 19 cm and a height of
snow_tiger [21]
The answer is 61.75 because you have to do base times height then divide that answer by two
5 0
3 years ago
Could someone help me out?
Studentka2010 [4]

The equation of the line is y = -11x + 232

<h3>How to determine the equation?</h3>

The given parameters are:

Slope (m)= -11

Point (x1, y1) = (31, -109)

The linear equation is then calculated as:

y = m(x - x1) + y1

This gives

y = -11(x - 31) - 109

Evaluate the product

y = -11x + 341 - 109

Evaluate the like terms

y = -11x + 232

Hence, the equation of the line is y = -11x + 232

Read more about linear equations at:

brainly.com/question/14323743

#SPJ1

3 0
2 years ago
Other questions:
  • Find the inverse of the given function f(x) =2^x+6
    12·1 answer
  • Please Help me with this question
    6·1 answer
  • How do our use the distance formula
    13·1 answer
  • 7x + 4y = 5<br> 7x + 4y = 12
    6·1 answer
  • How much is 1*1 ??<br> and is it rite right
    7·1 answer
  • 9 pints = how many cups
    10·2 answers
  • For what values of m does the graph of y = mx2 – 5x – 2 have no x-intercepts?
    11·2 answers
  • (HELP 10 POINTS ) Find (x+3)(x2−2x−8). Write your answer in standard form.
    5·1 answer
  • Re-write the equation in Ax+By=C form. use integers for A,B, and C. <br> y+2=-5(x-5)
    9·1 answer
  • If you have 7ds grand cross friend me and fight me <br><br> hello there here is 40 points :]
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!